HairBSDF, Mp, lower

Time bar (total: 14.7s)

analyze413.0ms (2.8%)

Memory
-19.8MiB live, 1 070.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%3%97%0%0%0%0
0%0%3%97%0%0%0%1
0%0%3%97%0%0%0%2
0%0%3%97%0%0%0%3
0%0%3%97%0%0%0%4
0%0%3%97%0%0%0%5
0%0%1.5%97%0%1.5%0%6
0%0%1.5%97%0%1.5%0%7
0%0%1.5%97%0%1.5%0%8
0%0%1.5%97%0%1.5%0%9
0%0%1.5%97%0%1.5%0%10
0%0%1.5%97%0%1.5%0%11
0%0%1.5%97%0%1.5%0%12
Compiler

Compiled 65 to 44 computations (32.3% saved)

sample2.6s (17.7%)

Memory
40.9MiB live, 3 958.2MiB allocated
Samples
1.9s8 256×0valid
34.0ms157×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-div: 382.0ms (24.6% of total)
const: 334.0ms (21.5% of total)
ival-<=: 261.0ms (16.8% of total)
ival-mult: 163.0ms (10.5% of total)
ival-log: 117.0ms (7.5% of total)
ival-add: 80.0ms (5.1% of total)
ival-sub: 79.0ms (5.1% of total)
ival-exp: 66.0ms (4.2% of total)
ival-and: 54.0ms (3.5% of total)
exact: 15.0ms (1% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess384.0ms (2.6%)

Memory
-18.4MiB live, 586.8MiB allocated
Algorithm
2×egg-herbie
Rules
6 404×accelerator-lowering-fma.f32
6 404×accelerator-lowering-fma.f64
3 478×*-lowering-*.f32
3 478×*-lowering-*.f64
1 904×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0164504
1473469
21379462
35000462
02123
15022
213722
345622
4170222
5501122
0812319
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
Outputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(fma.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 0 binary32))
Call 2
Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* (neg cosTheta_i) cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v))))))
(neg (exp (+ (+ (- (- (/ (* (neg cosTheta_i) cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v)))))))
(exp (+ (+ (- (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* sinTheta_i cosTheta_O) v) (/ (* cosTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* sinTheta_O cosTheta_O) v) (/ (* sinTheta_i cosTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* v cosTheta_O) cosTheta_i) (/ (* sinTheta_i sinTheta_O) cosTheta_i)) (/ 1 cosTheta_i)) 6931/10000) (log (/ 1 (* 2 cosTheta_i)))))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_i) v) (/ (* cosTheta_O sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_O) v) (/ (* sinTheta_i cosTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i v) cosTheta_O) (/ (* sinTheta_i sinTheta_O) cosTheta_O)) (/ 1 cosTheta_O)) 6931/10000) (log (/ 1 (* 2 cosTheta_O)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_i) (/ (* v sinTheta_O) sinTheta_i)) (/ 1 sinTheta_i)) 6931/10000) (log (/ 1 (* 2 sinTheta_i)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) (/ (* sinTheta_i v) sinTheta_O)) (/ 1 sinTheta_O)) 6931/10000) (log (/ 1 (* 2 sinTheta_O)))))
Outputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) -6931/10000)))))
(exp (+ (+ (- (- (/ (* (neg 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 v) (* sinTheta_i (/ sinTheta_O v))) (* cosTheta_i (/ cosTheta_O v))))))
(exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ 6931/10000 (- (- (/ -1 v) (* sinTheta_i (/ sinTheta_O v))) (* cosTheta_i (/ cosTheta_O v))))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (exp (+ (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ 6931/10000 (/ -1 v))))) (/ 1/2 v))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (exp (+ (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ 6931/10000 (/ -1 v))))) (/ 1/2 v))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v))))))
(* (exp (- (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) 6931/10000)) (* cosTheta_i (/ cosTheta_O v)))) (/ -1/2 v))
(neg (exp (+ (+ (- (- (/ (* (neg 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 v) (* sinTheta_i (/ sinTheta_O v))) (* cosTheta_i (/ cosTheta_O v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (exp (+ 6931/10000 (- (- (/ -1 v) (* sinTheta_i (/ sinTheta_O v))) (* cosTheta_i (/ cosTheta_O v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (exp (+ (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ 6931/10000 (/ -1 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (exp (+ (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ 6931/10000 (/ -1 v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v)))))))
(* (exp (- (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) 6931/10000)) (* cosTheta_i (/ cosTheta_O v)))) (/ 1/2 v))
(exp (+ (+ (- (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) -6931/10000)))))
(exp (+ (+ (- (- (/ (* sinTheta_i cosTheta_O) v) (/ (* cosTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ (* cosTheta_O (/ sinTheta_i v)) (+ (- (/ -1 v) (* cosTheta_i (/ sinTheta_O v))) 6931/10000))))
(exp (+ (+ (- (- (/ (* sinTheta_O cosTheta_O) v) (/ (* sinTheta_i cosTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (- (* cosTheta_O (/ sinTheta_O v)) (+ (* cosTheta_i (/ sinTheta_i v)) (+ (/ 1 v) -6931/10000)))))
(exp (+ (+ (- (- (/ (* v cosTheta_O) cosTheta_i) (/ (* sinTheta_i sinTheta_O) cosTheta_i)) (/ 1 cosTheta_i)) 6931/10000) (log (/ 1 (* 2 cosTheta_i)))))
(* (exp (+ (- (* cosTheta_O (/ v cosTheta_i)) (* sinTheta_i (/ sinTheta_O cosTheta_i))) (+ 6931/10000 (/ -1 cosTheta_i)))) (/ 1/2 cosTheta_i))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_i) v) (/ (* cosTheta_O sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ (* cosTheta_i (/ sinTheta_i v)) (+ (- (/ -1 v) (* cosTheta_O (/ sinTheta_O v))) 6931/10000))))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_O) v) (/ (* sinTheta_i cosTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (+ (+ 6931/10000 (* cosTheta_i (/ sinTheta_O v))) (- (/ -1 v) (* cosTheta_O (/ sinTheta_i v))))))
(exp (+ (+ (- (- (/ (* cosTheta_i v) cosTheta_O) (/ (* sinTheta_i sinTheta_O) cosTheta_O)) (/ 1 cosTheta_O)) 6931/10000) (log (/ 1 (* 2 cosTheta_O)))))
(* (exp (+ (* cosTheta_i (/ v cosTheta_O)) (+ (- (/ -1 cosTheta_O) (* sinTheta_i (/ sinTheta_O cosTheta_O))) 6931/10000))) (/ 1/2 cosTheta_O))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (- (* cosTheta_i (/ cosTheta_O v)) (+ (* sinTheta_i (/ sinTheta_O v)) (+ (/ 1 v) -6931/10000)))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_i) (/ (* v sinTheta_O) sinTheta_i)) (/ 1 sinTheta_i)) 6931/10000) (log (/ 1 (* 2 sinTheta_i)))))
(* (exp (- (* cosTheta_O (/ cosTheta_i sinTheta_i)) (+ (* v (/ sinTheta_O sinTheta_i)) (+ (/ 1 sinTheta_i) -6931/10000)))) (/ 1/2 sinTheta_i))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) (/ (* sinTheta_i v) sinTheta_O)) (/ 1 sinTheta_O)) 6931/10000) (log (/ 1 (* 2 sinTheta_O)))))
(* (exp (+ (- (* cosTheta_O (/ cosTheta_i sinTheta_O)) (* v (/ sinTheta_i sinTheta_O))) (+ 6931/10000 (/ -1 sinTheta_O)))) (/ 1/2 sinTheta_O))
Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain340.0ms (2.3%)

Memory
-45.0MiB live, 566.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1066(4.7817838962549084e-14 7.233470072920412e-11 -1.0728190532564937e-28 1.9609310635449683e-35 1.123053553387413e-19)36(-7.985395573764663e-36 4.9052917977521204e-11 -4.2534622703047944e-23 4.595267799306232e-20 8.909436355504115e-26)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
930-32(6.6171289616316804e-24 3.888772504909845e-22 -2.1620050194570695e-9 0.009415537118911743 3.517500484121731e-22)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
17(-0.004929486662149429 1.61018379003508e-5 3.237785600098357e-27 7.219053498142469e-26 0.0019352578092366457)1(1.9886366435120767e-30 3.355015815662681e-25 -7.780107287580496e-12 2.784104586824258e-28 0.02055327035486698)(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
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)))))sensitivity72
/.f32(/.f32 (*.f32 sinTheta_i sinTheta_O) v)u/n50
↳(*.f32 sinTheta_i sinTheta_O)underflow96
/.f32(/.f32 (*.f32 cosTheta_i cosTheta_O) v)u/n40
↳(*.f32 cosTheta_i cosTheta_O)underflow83
Confusion
Predicted +Predicted -
+01
-15240
Precision
0.0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+010
-151239
Precision?
0.058823529411764705
Recall?
1.0
Freqs
test
numberfreq
0241
114
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
87.0ms512×0valid
Compiler

Compiled 330 to 88 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-div: 14.0ms (24.2% of total)
ival-log: 13.0ms (22.4% of total)
ival-mult: 10.0ms (17.3% of total)
const: 7.0ms (12.1% of total)
ival-exp: 4.0ms (6.9% of total)
ival-add: 4.0ms (6.9% of total)
ival-sub: 4.0ms (6.9% of total)
ival-true: 1.0ms (1.7% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
Compiler

Compiled 30 to 21 computations (30% saved)

simplify286.0ms (1.9%)

Memory
-44.1MiB live, 490.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
✓cost-diff160
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
✓cost-diff320
(-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
✓cost-diff2912
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
Rules
6 404×accelerator-lowering-fma.f32
6 404×accelerator-lowering-fma.f64
3 478×*-lowering-*.f32
3 478×*-lowering-*.f64
1 904×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021125
150124
2137124
3456124
41702124
55011124
08123113
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(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))))
(+ (- (- (/ (* 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 v))
(- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v))
(/ (* cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ 1 v)
1
6931/10000
(log (/ 1 (* 2 v)))
(/ 1 (* 2 v))
(* 2 v)
2
Outputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(fma.f32 (exp.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v) #s(literal 0 binary32))
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (-.f32 (fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)
(fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 6931/10000 binary32)))
(- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v))
(fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 0 binary32)))
(- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v))
(fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) (fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 0 binary32)))
(/ (* cosTheta_i cosTheta_O) v)
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) #s(literal 0 binary32))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(/ (* sinTheta_i sinTheta_O) v)
(fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal 0 binary32))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
6931/10000
#s(literal 6931/10000 binary32)
(log (/ 1 (* 2 v)))
(neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))
(/ 1 (* 2 v))
(/.f32 #s(literal 1/2 binary32) v)
(* 2 v)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)

localize65.0ms (0.4%)

Memory
11.0MiB live, 125.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(+.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))))
✓accuracy99.7%
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓accuracy76.3%
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓accuracy72.6%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
Samples
42.0ms256×0valid
Compiler

Compiled 135 to 23 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 9.0ms (33% of total)
ival-mult: 4.0ms (14.7% of total)
ival-log: 4.0ms (14.7% of total)
const: 4.0ms (14.7% of total)
ival-exp: 2.0ms (7.3% of total)
ival-add: 2.0ms (7.3% of total)
ival-sub: 2.0ms (7.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series112.0ms (0.8%)

Memory
14.7MiB live, 209.7MiB allocated
Counts
8 → 336
Calls
Call 1
Inputs
#<alt (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))>
#<alt (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v))>
#<alt (/ 1 (* 2 v))>
#<alt (log (/ 1 (* 2 v)))>
#<alt (/ (* sinTheta_i sinTheta_O) v)>
#<alt (/ (* cosTheta_i cosTheta_O) v)>
#<alt (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v))>
#<alt (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))>
Outputs
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))>
#<alt (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* -1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_i)) (/ cosTheta_O v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))>
#<alt (* -1 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) cosTheta_O)) (/ cosTheta_i v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (+ (log 1/2) (* -1 (log v)))>
#<alt (+ (log 1/2) (* -1 (log v)))>
#<alt (+ (log 1/2) (* -1 (log v)))>
#<alt (+ (log 1/2) (* -1 (log v)))>
#<alt (+ (log 1/2) (log (/ 1 v)))>
#<alt (+ (log 1/2) (log (/ 1 v)))>
#<alt (+ (log 1/2) (log (/ 1 v)))>
#<alt (+ (log 1/2) (log (/ 1 v)))>
#<alt (+ (log -1/2) (log (/ -1 v)))>
#<alt (+ (log -1/2) (log (/ -1 v)))>
#<alt (+ (log -1/2) (log (/ -1 v)))>
#<alt (+ (log -1/2) (log (/ -1 v)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))>
#<alt (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))>
#<alt (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))>
#<alt (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
Calls

84 calls:

TimeVariablePointExpression
46.0ms
v
@0
(log (/ 1 (* 2 v)))
20.0ms
v
@-inf
(log (/ 1 (* 2 v)))
8.0ms
v
@inf
(log (/ 1 (* 2 v)))
3.0ms
cosTheta_i
@0
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
3.0ms
sinTheta_O
@0
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))

rewrite520.0ms (3.5%)

Memory
24.1MiB live, 860.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 370×accelerator-lowering-fma.f32
9 370×accelerator-lowering-fma.f64
4 860×/-lowering-/.f32
4 860×/-lowering-/.f64
3 374×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02180
113473
2149473
0823573
Stop Event
1×iter limit
1×node limit
Counts
8 → 659
Calls
Call 1
Inputs
(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))
(/ 1 (* 2 v))
(log (/ 1 (* 2 v)))
(/ (* sinTheta_i sinTheta_O) v)
(/ (* cosTheta_i cosTheta_O) v)
(- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v))
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
Outputs
(exp.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(pow.f32 (exp.f32 (fma.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (neg.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (*.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))))
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(/.f32 (-.f32 (pow.f32 (+.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 3 binary32))) (fma.f32 (+.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 0 binary32)) (+.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 0 binary32)) (+.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) #s(literal 0 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
(/.f32 (-.f32 (pow.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) #s(literal 3 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (*.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))))) (fma.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (*.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(*.f32 (fma.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (neg.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (*.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))))
(*.f32 (fma.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (neg.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (neg.f32 (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))))))
(*.f32 (fma.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (neg.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
(*.f32 (neg.f32 (fma.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (neg.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (*.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))))))
(*.f32 (neg.f32 (fma.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (neg.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))))
(*.f32 (fma.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (*.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (-.f32 (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))))))
(*.f32 (-.f32 (*.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v)) (pow.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
(*.f32 (-.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))

simplify452.0ms (3.1%)

Memory
-29.8MiB live, 851.5MiB allocated
Algorithm
1×egg-herbie
Rules
12 124×accelerator-lowering-fma.f32
12 124×accelerator-lowering-fma.f64
6 486×*-lowering-*.f32
6 486×*-lowering-*.f64
4 322×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03415408
111025126
239194741
082904516
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_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)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) 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_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)))))
(* 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)))))
(* 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)))))
(/ (* cosTheta_O 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)))))
(* -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 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(- (+ 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)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) 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_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 (- (+ (* 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 (- (+ (* 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)
(* -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 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_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)))))
(/ (- (* 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)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 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)
(+ 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)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) 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))))
(+ 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 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 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 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 (/ (* sinTheta_O sinTheta_i) 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))
(* -1 (/ (* sinTheta_O 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) (/ (* 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) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -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)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -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)))))
(- (+ 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 (/ (* sinTheta_O sinTheta_i) 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))
(* -1 (/ (* sinTheta_O 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))))
(* 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) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (/ (* 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)))))
(* -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)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
Outputs
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(fma.f32 cosTheta_O (/.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)) (/.f32 #s(literal -1 binary32) v))))) cosTheta_i) v) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_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 cosTheta_i (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (/.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)) (/.f32 #s(literal -1 binary32) v))))) cosTheta_i) (*.f32 v v)) (*.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)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_O v))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_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 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (*.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)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O (*.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)) (/.f32 #s(literal -1 binary32) v))))) cosTheta_i)) (*.f32 v (*.f32 v v)))) (*.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)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_O v))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) 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 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(fma.f32 cosTheta_O (/.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)) (/.f32 #s(literal -1 binary32) v))))) cosTheta_i) v) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 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 cosTheta_O (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)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_i v) (*.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)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) 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)) (/.f32 #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 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/6 binary32) (*.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)) (/.f32 #s(literal -1 binary32) v))))) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))) (/.f32 cosTheta_O (*.f32 v (*.f32 v v)))) (*.f32 #s(literal 1/2 binary32) (*.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)) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))) (/.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)) (/.f32 #s(literal -1 binary32) v))))) cosTheta_i) v)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) 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 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 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)))))
(*.f32 cosTheta_O (+.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O))) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) 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 cosTheta_O (+.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O))) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) 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 cosTheta_O (+.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O))) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)) cosTheta_O)))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O 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)))))
(*.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) 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 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) 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 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 (fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O)))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (fma.f32 v (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (log.f32 #s(literal 1/2 binary32))) (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (fma.f32 v (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (log.f32 #s(literal 1/2 binary32))) (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (fma.f32 v (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (log.f32 #s(literal 1/2 binary32))) (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))) v)
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (log.f32 #s(literal 1/2 binary32)))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (log.f32 #s(literal 1/2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (log.f32 #s(literal 1/2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)) (log.f32 #s(literal 1/2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 #s(literal -1/2 binary32)) (neg.f32 (log.f32 (neg.f32 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 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)) (neg.f32 (log.f32 (neg.f32 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 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)) (neg.f32 (log.f32 (neg.f32 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 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)) (neg.f32 (log.f32 (neg.f32 v))))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O 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))))
(*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (-.f32 (/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) sinTheta_i) (/.f32 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))))
(*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (-.f32 (/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) sinTheta_i) (/.f32 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))))
(*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (-.f32 (/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) sinTheta_i) (/.f32 sinTheta_O v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i)) 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 sinTheta_i (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_i) (/.f32 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 sinTheta_i (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_i) (/.f32 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 sinTheta_i (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_i) (/.f32 sinTheta_O v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O 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))))
(*.f32 sinTheta_O (+.f32 (-.f32 (/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) sinTheta_O) (/.f32 sinTheta_i v)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) 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 sinTheta_O (+.f32 (-.f32 (/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) sinTheta_O) (/.f32 sinTheta_i v)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) 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 sinTheta_O (+.f32 (-.f32 (/.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) sinTheta_O) (/.f32 sinTheta_i v)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 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 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O) (/.f32 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 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O) (/.f32 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 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O) (/.f32 sinTheta_i v)))

eval138.0ms (0.9%)

Memory
16.5MiB live, 203.4MiB allocated
Compiler

Compiled 35 979 to 3 466 computations (90.4% saved)

prune134.0ms (0.9%)

Memory
17.8MiB live, 268.1MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New9878995
Fresh000
Picked101
Done000
Total9888996
Accuracy
99.9%
Counts
996 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(/.f32 (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))))
87.0%
(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
▶4.5%
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
▶99.9%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
99.4%
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
10.8%
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
▶17.1%
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
▶99.9%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
Compiler

Compiled 398 to 236 computations (40.7% saved)

simplify397.0ms (2.7%)

Memory
10.0MiB live, 551.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32))
✓cost-diff64
(*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))
✓cost-diff448
(/.f32 (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))))
✓cost-diff3040
(exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
✓cost-diff0
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓cost-diff0
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓cost-diff128
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓cost-diff3008
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
✓cost-diff0
(exp.f32 #s(literal 6931/10000 binary32))
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) v)
✓cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
✓cost-diff-32
(*.f32 cosTheta_O cosTheta_i)
✓cost-diff0
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓cost-diff0
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
✓cost-diff0
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
✓cost-diff64
(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
✓cost-diff96
(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
Rules
9 320×accelerator-lowering-fma.f32
9 320×accelerator-lowering-fma.f64
3 334×+-lowering-+.f64
3 334×+-lowering-+.f32
3 154×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049524
1104503
2211494
3465494
41042494
52684494
66356494
08544463
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))
(/ 1/2 v)
1/2
v
(exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))
(+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))
6931/10000
(* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))
(+ (* sinTheta_O sinTheta_i) 1)
sinTheta_O
sinTheta_i
1
(/ -1 v)
-1
(exp (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(* (/ 1 v) (* 1/2 (exp 6931/10000)))
(/ 1 v)
1
v
(* 1/2 (exp 6931/10000))
1/2
(exp 6931/10000)
6931/10000
(exp (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v))))
(+ 6931/10000 (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)))
6931/10000
(+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v))
(log (/ 1/2 v))
(/ 1/2 v)
1/2
v
(/ (+ (* cosTheta_O cosTheta_i) -1) v)
(+ (* cosTheta_O cosTheta_i) -1)
cosTheta_O
cosTheta_i
-1
(/ (exp (/ (* (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000)) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))) (exp (/ (pow (log (* v 2)) 2) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))))
(exp (/ (* (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000)) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2))))))
(/ (* (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000)) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))
(* (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000))
(+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000)
(/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)
(+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1)
(+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i)))
cosTheta_i
cosTheta_O
(* sinTheta_O (neg sinTheta_i))
sinTheta_O
(neg sinTheta_i)
sinTheta_i
-1
v
6931/10000
(+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2))))
(+ 6931/10000 (log (* v 2)))
(log (* v 2))
(* v 2)
2
(exp (/ (pow (log (* v 2)) 2) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2))))))
(/ (pow (log (* v 2)) 2) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))
(pow (log (* v 2)) 2)
Outputs
(* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 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))))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
v
(exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)))
(+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
6931/10000
#s(literal 6931/10000 binary32)
(* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))
(/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)
(+ (* sinTheta_O sinTheta_i) 1)
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
sinTheta_O
sinTheta_i
1
#s(literal 1 binary32)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 0 binary32)) v))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal 0 binary32)) v)
(* cosTheta_O cosTheta_i)
(fma.f32 cosTheta_O cosTheta_i #s(literal 0 binary32))
cosTheta_O
cosTheta_i
v
(* (/ 1 v) (* 1/2 (exp 6931/10000)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
v
(* 1/2 (exp 6931/10000))
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
1/2
#s(literal 1/2 binary32)
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
6931/10000
#s(literal 6931/10000 binary32)
(exp (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) v)
(+ 6931/10000 (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)))
(+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
6931/10000
#s(literal 6931/10000 binary32)
(+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v))
(+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(log (/ 1/2 v))
(neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
v
(/ (+ (* cosTheta_O cosTheta_i) -1) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
(+ (* cosTheta_O cosTheta_i) -1)
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
cosTheta_O
cosTheta_i
-1
#s(literal -1 binary32)
(/ (exp (/ (* (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000)) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))) (exp (/ (pow (log (* v 2)) 2) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))))
(exp.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) (log.f32 (*.f32 v #s(literal 2 binary32))))) (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O (neg.f32 cosTheta_i) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
(exp (/ (* (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000)) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2))))))
(exp.f32 (/.f32 (fma.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) #s(literal 6931/5000 binary32)) v) #s(literal 48038761/100000000 binary32)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(/ (* (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000)) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))
(/.f32 (fma.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) #s(literal 6931/5000 binary32)) v) #s(literal 48038761/100000000 binary32)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(* (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000))
(fma.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v) #s(literal 6931/5000 binary32)) v) #s(literal 48038761/100000000 binary32))
(+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000)
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))
(/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)
(+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1)
(fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))
(+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i)))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal 0 binary32)))
cosTheta_i
cosTheta_O
(* sinTheta_O (neg sinTheta_i))
(neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 0 binary32)))
sinTheta_O
(neg sinTheta_i)
(neg.f32 sinTheta_i)
sinTheta_i
-1
#s(literal -1 binary32)
v
6931/10000
#s(literal 6931/10000 binary32)
(+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2))))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) (log.f32 (*.f32 v #s(literal 2 binary32))))
(+ 6931/10000 (log (* v 2)))
(+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))
(log (* v 2))
(log.f32 (*.f32 v #s(literal 2 binary32)))
(* v 2)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)
(exp (/ (pow (log (* v 2)) 2) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2))))))
(pow.f32 (*.f32 v #s(literal 2 binary32)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(/ (pow (log (* v 2)) 2) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))
(/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(pow (log (* v 2)) 2)
(pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))

localize177.0ms (1.2%)

Memory
-19.6MiB live, 341.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))
✓accuracy98.3%
(/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
✓accuracy98.3%
(pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))
✓accuracy52.2%
(/.f32 (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
✓accuracy100.0%
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓accuracy99.9%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
✓accuracy99.8%
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓accuracy99.8%
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓accuracy100.0%
(/.f32 #s(literal 1 binary32) v)
✓accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
✓accuracy100.0%
(exp.f32 #s(literal 6931/10000 binary32))
✓accuracy98.8%
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
✓accuracy100.0%
(*.f32 cosTheta_O cosTheta_i)
✓accuracy99.9%
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓accuracy76.3%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓accuracy100.0%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
✓accuracy100.0%
(*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
✓accuracy99.9%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))))
✓accuracy99.9%
(+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))
Samples
102.0ms256×0valid
Compiler

Compiled 498 to 51 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-exp: 21.0ms (26% of total)
ival-div: 15.0ms (18.5% of total)
ival-mult: 14.0ms (17.3% of total)
ival-add: 10.0ms (12.4% of total)
ival-log: 7.0ms (8.7% of total)
const: 5.0ms (6.2% of total)
ival-neg: 5.0ms (6.2% of total)
ival-pow2: 2.0ms (2.5% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series270.0ms (1.8%)

Memory
3.4MiB live, 596.3MiB allocated
Counts
23 → 756
Calls
Call 1
Inputs
#<alt (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))>
#<alt (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))>
#<alt (* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))>
#<alt (/ 1/2 v)>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* (/ 1 v) (* 1/2 (exp 6931/10000)))>
#<alt (/ 1 v)>
#<alt (* 1/2 (exp 6931/10000))>
#<alt (exp 6931/10000)>
#<alt (exp (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v))))>
#<alt (log (/ 1/2 v))>
#<alt (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)))>
#<alt (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v))>
#<alt (exp (/ (pow (log (* v 2)) 2) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2))))))>
#<alt (/ (exp (/ (* (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000)) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))) (exp (/ (pow (log (* v 2)) 2) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))))>
#<alt (* (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000))>
#<alt (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1)>
#<alt (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))>
#<alt (/ (* (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000)) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))>
#<alt (pow (log (* v 2)) 2)>
#<alt (/ (pow (log (* v 2)) 2) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))>
Outputs
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)>
#<alt (/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)>
#<alt (/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (/ -1 v)>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (/ -1 v)>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)>
#<alt (/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)>
#<alt (/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt 1>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2))) (/ cosTheta_i v))))>
#<alt (+ 1 (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (pow cosTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2))))) (/ cosTheta_i v))))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt 1>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2))) (/ cosTheta_O v))))>
#<alt (+ 1 (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) cosTheta_i) (pow v 3))) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2))))) (/ cosTheta_O v))))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt 1>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (+ 1 (+ (* 1/6 (/ (* (pow cosTheta_O 3) (pow cosTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))>
#<alt 1>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) v))) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow cosTheta_O 3) (pow cosTheta_i 3)) v)) (* 1/2 (* (pow cosTheta_O 2) (pow cosTheta_i 2)))) v))) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (/ 1 v)>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
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#<alt (+ (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_i (- (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (+ (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (- (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (/ cosTheta_O v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (* 2 v)) cosTheta_i)))))>
#<alt (* cosTheta_i (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* cosTheta_O (pow cosTheta_i 2)))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2))))))))>
#<alt (* cosTheta_i (- (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)))) (* cosTheta_O (pow cosTheta_i 3)))) (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* cosTheta_O (pow cosTheta_i 2))))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2))))))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))>
#<alt (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))>
#<alt (+ (* cosTheta_O (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (+ (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_O (- (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (+ (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (- (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (/ cosTheta_i v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ (log (* 2 v)) cosTheta_O)))))>
#<alt (* cosTheta_O (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* (pow cosTheta_O 2) cosTheta_i))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i)))))))>
#<alt (* cosTheta_O (- (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)))) (* (pow cosTheta_O 3) cosTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* (pow cosTheta_O 2) cosTheta_i)))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))>
#<alt (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (+ (* sinTheta_O (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))>
#<alt (+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))>
#<alt (+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_O (- (+ (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (/ (pow sinTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (/ 1 (* sinTheta_O v)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))>
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#<alt (/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 3))))) (+ (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i)) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) sinTheta_i)>
#<alt (* -1 (/ (* v (pow (log (* 2 v)) 2)) (* sinTheta_O sinTheta_i)))>
#<alt (* -1 (/ (+ (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_O 2))) sinTheta_i)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) sinTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* (pow sinTheta_O 4) sinTheta_i)) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_O 2))) sinTheta_i)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) sinTheta_i))>
Calls

189 calls:

TimeVariablePointExpression
25.0ms
sinTheta_O
@inf
(/ (exp (/ (* (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000)) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))) (exp (/ (pow (log (* v 2)) 2) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))))
20.0ms
v
@-inf
(/ (exp (/ (* (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000)) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))) (exp (/ (pow (log (* v 2)) 2) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))))
17.0ms
v
@-inf
(pow (log (* v 2)) 2)
12.0ms
v
@0
(pow (log (* v 2)) 2)
9.0ms
v
@inf
(pow (log (* v 2)) 2)

rewrite587.0ms (4%)

Memory
20.2MiB live, 782.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 646×accelerator-lowering-fma.f32
5 646×accelerator-lowering-fma.f64
5 030×/-lowering-/.f32
5 030×/-lowering-/.f64
4 216×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049312
1285278
22560277
09844262
Stop Event
1×iter limit
1×node limit
Counts
23 → 620
Calls
Call 1
Inputs
(+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))
(* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))
(* (/ 1/2 v) (exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v)))))
(/ 1/2 v)
(exp (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(* (/ 1 v) (* 1/2 (exp 6931/10000)))
(/ 1 v)
(* 1/2 (exp 6931/10000))
(exp 6931/10000)
(exp (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v))))
(log (/ 1/2 v))
(+ 6931/10000 (+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v)))
(+ (log (/ 1/2 v)) (/ (+ (* cosTheta_O cosTheta_i) -1) v))
(exp (/ (pow (log (* v 2)) 2) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2))))))
(/ (exp (/ (* (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000)) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))) (exp (/ (pow (log (* v 2)) 2) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))))
(* (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000))
(+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1)
(exp (+ 6931/10000 (* (+ (* sinTheta_O sinTheta_i) 1) (/ -1 v))))
(/ (* (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) 6931/10000)) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))
(pow (log (* v 2)) 2)
(/ (pow (log (* v 2)) 2) (+ (/ (+ (+ (* cosTheta_i cosTheta_O) (* sinTheta_O (neg sinTheta_i))) -1) v) (+ 6931/10000 (log (* v 2)))))
Outputs
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))
(+.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)) (fma.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v))) #s(literal 332956652491/1000000000000 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v)))) #s(literal -1 binary32))
(fma.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) v) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 6931/10000 binary32))
(fma.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) v) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) #s(literal -1 binary32)) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal -1 binary32)) v) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O sinTheta_i #s(literal -1 binary32))) #s(literal -1 binary32)) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal -1 binary32) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))) (/.f32 (/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v)) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)) (fma.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v))) #s(literal 332956652491/1000000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)) (fma.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v))) #s(literal 332956652491/1000000000000 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v))))))
(/.f32 (fma.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v))) #s(literal 332956652491/1000000000000 binary32)) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))
(/.f32 (fma.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v))) #s(literal 332956652491/1000000000000 binary32)) (+.f32 (/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v))) #s(literal 332956652491/1000000000000 binary32))) (neg.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v))) #s(literal 332956652491/1000000000000 binary32))) (neg.f32 (+.f32 (/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v)))) (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v)) #s(literal 48038761/100000000 binary32)) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v))) #s(literal 332956652491/1000000000000 binary32)))) (neg.f32 (neg.f32 (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v))))) (neg.f32 (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v)) #s(literal 48038761/100000000 binary32))) (neg.f32 (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32))))
(*.f32 (fma.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v))) #s(literal 332956652491/1000000000000 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) (-.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))))
(*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))
(+.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1 binary32)))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O sinTheta_i)))
(+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (*.f32 (/.f32 v (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) #s(literal -1 binary32)) #s(literal -1 binary32))
(fma.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1 binary32) v)))
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(*.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))))
(*.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))))
(*.f32 (neg.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))) (pow.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) (*.f32 v (*.f32 v v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (*.f32 v v))))
(*.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) (*.f32 v (*.f32 v v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (*.f32 v v))))))
(*.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (*.f32 v v)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)))) (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(*.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (*.f32 v v)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))))
(*.f32 (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (*.f32 v v)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 2 binary32)))) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))))
(*.f32 (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) (*.f32 v (*.f32 v v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal 3 binary32)))) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (/.f32 (*.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (*.f32 v v))))))
(*.f32 (/.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))))
(*.f32 (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -1 binary32)) (/.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))))

simplify794.0ms (5.4%)

Memory
3.0MiB live, 1 306.6MiB allocated
Algorithm
1×egg-herbie
Rules
5 256×*-lowering-*.f32
5 256×*-lowering-*.f64
4 904×+-lowering-+.f64
4 904×+-lowering-+.f32
3 896×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0253255573
1769455572
0835453266
Stop Event
1×iter limit
1×node limit
Counts
756 → 756
Calls
Call 1
Inputs
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)
(/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)
(/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(/ -1 v)
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(/ -1 v)
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2))) (/ cosTheta_i v))))
(+ 1 (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (pow cosTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2))))) (/ cosTheta_i v))))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2))) (/ cosTheta_O v))))
(+ 1 (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) cosTheta_i) (pow v 3))) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2))))) (/ cosTheta_O v))))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
1
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(+ (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow (log (* 2 v)) 2))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2)))) (* cosTheta_i (* (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 4)) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 4)))) (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3)))))))))
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1
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1
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(exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
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(+ (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow (log (* 2 v)) 2))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2)))) (* cosTheta_O (* (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (+ (* 1/2 (/ (* (pow cosTheta_i 2) (pow (log (* 2 v)) 4)) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 4)))) (/ (* (pow cosTheta_i 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3)))))))))
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1
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1
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(exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
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(+ (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (+ (* sinTheta_O (+ (* sinTheta_O (* (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (+ (* 1/6 (/ (* (pow sinTheta_i 3) (pow (log (* 2 v)) 6)) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 6)))) (+ (/ (* (pow sinTheta_i 3) (pow (log (* 2 v)) 2)) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 4))) (/ (* (pow sinTheta_i 3) (pow (log (* 2 v)) 4)) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 5))))))) (* (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (+ (* 1/2 (/ (* (pow sinTheta_i 2) (pow (log (* 2 v)) 4)) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 4)))) (/ (* (pow sinTheta_i 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))))))) (/ (* sinTheta_i (* (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow (log (* 2 v)) 2))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))))))
1
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1
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(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_i v))) (/ (pow cosTheta_O 2) (pow v 2))))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_i v))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (pow cosTheta_i 2)))))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_i v))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (pow cosTheta_i 2)))))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_i v))) (/ (pow cosTheta_O 2) (pow v 2))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (* -1 (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) cosTheta_i))) cosTheta_i)) (/ (pow cosTheta_O 2) (pow v 2))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (* -1 (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) cosTheta_i))) cosTheta_i)) (/ (pow cosTheta_O 2) (pow v 2))))
(pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)
(+ (* 2 (/ (* cosTheta_O (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))) v)) (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2))
(+ (* cosTheta_O (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))) (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2))
(+ (* cosTheta_O (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))) (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_O v))) (/ (pow cosTheta_i 2) (pow v 2))))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_O v))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (pow cosTheta_O 2)))))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_O v))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (pow cosTheta_O 2)))))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_O v))) (/ (pow cosTheta_i 2) (pow v 2))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (* -1 (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) cosTheta_O))) cosTheta_O)) (/ (pow cosTheta_i 2) (pow v 2))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (* -1 (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) cosTheta_O))) cosTheta_O)) (/ (pow cosTheta_i 2) (pow v 2))))
(pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)
(+ (* -2 (/ (* sinTheta_O (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (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 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))
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(/ (* (pow sinTheta_O 2) (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 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)))))
(* (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)))))
(/ (* (pow sinTheta_O 2) (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 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 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 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)
(+ (* -2 (/ (* sinTheta_O (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (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)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (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)) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))
(/ (* (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 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 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) (+ (* -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 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 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))
(/ (+ (* 6931/5000 (* v (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))
(/ (+ (* v (+ (* 48038761/100000000 v) (* 6931/5000 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))
(/ (+ (* v (+ (* 48038761/100000000 v) (* 6931/5000 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))
48038761/100000000
(+ 48038761/100000000 (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)))
(+ 48038761/100000000 (+ (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))))
(+ 48038761/100000000 (+ (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))))
48038761/100000000
(+ 48038761/100000000 (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)))
(+ 48038761/100000000 (* -1 (/ (+ (* -6931/5000 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) v))) v)))
(+ 48038761/100000000 (* -1 (/ (+ (* -6931/5000 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) v))) v)))
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* cosTheta_O cosTheta_i)
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* cosTheta_O cosTheta_i)
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(- (* cosTheta_O cosTheta_i) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(- (* cosTheta_O cosTheta_i) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* sinTheta_i (- (+ (* -1 sinTheta_O) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ 1 sinTheta_i)))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(* -1 (* sinTheta_i (+ sinTheta_O (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)))))
(exp (- 6931/10000 (/ 1 v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (- 6931/10000 (/ 1 v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))
(+ (* cosTheta_i (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(+ (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_i (- (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(+ (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (- (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (/ cosTheta_O v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (* 2 v)) cosTheta_i)))))
(* cosTheta_i (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* cosTheta_O (pow cosTheta_i 2)))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2))))))))
(* cosTheta_i (- (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)))) (* cosTheta_O (pow cosTheta_i 3)))) (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* cosTheta_O (pow cosTheta_i 2))))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2))))))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))
(+ (* cosTheta_O (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(+ (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_O (- (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(+ (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (- (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (/ cosTheta_i v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ (log (* 2 v)) cosTheta_O)))))
(* cosTheta_O (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* (pow cosTheta_O 2) cosTheta_i))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i)))))))
(* cosTheta_O (- (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)))) (* (pow cosTheta_O 3) cosTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* (pow cosTheta_O 2) cosTheta_i)))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i)))))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (* sinTheta_O (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_O (- (+ (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (/ (pow sinTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (/ 1 (* sinTheta_O v)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (/ 1 (* sinTheta_O v))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_i))) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 3) sinTheta_i)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_i)))) (* sinTheta_O sinTheta_i)) (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i)) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_O)) (/ sinTheta_i v))))
(/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (* sinTheta_i (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(+ (* sinTheta_i (- (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(+ (* sinTheta_i (- (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_i (- (+ (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (/ (pow sinTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (/ 1 (* sinTheta_i v)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (/ 1 (* sinTheta_i v))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_O))) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 3))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_O)))) (* sinTheta_O sinTheta_i)) (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O)) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_i)) (/ sinTheta_O v))))
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (- 6931/10000 (+ (log 2) (log v)))))) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (- (+ 6931/10000 (* v (- (* 48038761/100000000 (/ 1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))) (/ (* (+ 6931/10000 (+ (log 2) (log v))) (- 6931/10000 (+ (log 2) (log v)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))))) (+ (log 2) (log v)))))) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (- (+ 6931/10000 (* v (- (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (log 2) (log v))) (- (* 48038761/100000000 (/ 1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))) (/ (* (+ 6931/10000 (+ (log 2) (log v))) (- 6931/10000 (+ (log 2) (log v)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))) (* 48038761/100000000 (/ 1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))) (/ (* (+ 6931/10000 (+ (log 2) (log v))) (- 6931/10000 (+ (log 2) (log v)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))))) (+ (log 2) (log v)))))) 1) v)
(/ 48038761/100000000 (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))
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(pow (+ (log 2) (log v)) 2)
(pow (+ (log 2) (log v)) 2)
(pow (+ (log 2) (log v)) 2)
(pow (+ (log 2) (log v)) 2)
(pow (+ (log 2) (* -1 (log (/ 1 v)))) 2)
(pow (+ (log 2) (* -1 (log (/ 1 v)))) 2)
(pow (+ (log 2) (* -1 (log (/ 1 v)))) 2)
(pow (+ (log 2) (* -1 (log (/ 1 v)))) 2)
(pow (+ (log -2) (* -1 (log (/ -1 v)))) 2)
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(pow (+ (log -2) (* -1 (log (/ -1 v)))) 2)
(pow (+ (log -2) (* -1 (log (/ -1 v)))) 2)
(/ (* v (pow (+ (log 2) (log v)) 2)) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
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(/ (pow (+ (log 2) (* -1 (log (/ 1 v)))) 2) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))
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(/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow (log (* 2 v)) 2))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2)))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
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(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (/ (* (pow cosTheta_O 3) (* cosTheta_i (pow (log (* 2 v)) 2))) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 4)))) (* -1 (/ (* (pow cosTheta_O 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3)))))) (/ (* cosTheta_O (pow (log (* 2 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(/ (* v (pow (log (* 2 v)) 2)) (* cosTheta_O cosTheta_i))
(/ (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) cosTheta_i)
(/ (- (+ (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i)
(/ (- (+ (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i)))) cosTheta_i)
(/ (* v (pow (log (* 2 v)) 2)) (* cosTheta_O cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (* -1 (/ (- (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* (pow cosTheta_O 4) cosTheta_i)) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (pow cosTheta_O 3))) cosTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow (log (* 2 v)) 2))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2)))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(+ (* cosTheta_O (- (/ (* cosTheta_O (* (pow cosTheta_i 2) (pow (log (* 2 v)) 2))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (/ (* cosTheta_i (pow (log (* 2 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (/ (* cosTheta_O (* (pow cosTheta_i 3) (pow (log (* 2 v)) 2))) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 4)))) (* -1 (/ (* (pow cosTheta_i 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3)))))) (/ (* cosTheta_i (pow (log (* 2 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(/ (* v (pow (log (* 2 v)) 2)) (* cosTheta_O cosTheta_i))
(/ (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) cosTheta_O)
(/ (- (+ (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O)
(/ (- (+ (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O)
(/ (* v (pow (log (* 2 v)) 2)) (* cosTheta_O cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (* -1 (/ (- (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* cosTheta_O (pow cosTheta_i 3))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* cosTheta_O (pow cosTheta_i 4))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (pow cosTheta_i 3))) cosTheta_O)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (/ (* sinTheta_O (* sinTheta_i (pow (log (* 2 v)) 2))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(+ (* sinTheta_O (- (/ (* sinTheta_O (* (pow sinTheta_i 2) (pow (log (* 2 v)) 2))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* -1 (/ (* sinTheta_i (pow (log (* 2 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(+ (* sinTheta_O (- (* sinTheta_O (- (/ (* sinTheta_O (* (pow sinTheta_i 3) (pow (log (* 2 v)) 2))) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 4))) (* -1 (/ (* (pow sinTheta_i 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3)))))) (* -1 (/ (* sinTheta_i (pow (log (* 2 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(* -1 (/ (* v (pow (log (* 2 v)) 2)) (* sinTheta_O sinTheta_i)))
(/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O)
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* (pow sinTheta_O 3) (pow sinTheta_i 4))))) (+ (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) sinTheta_O)
(* -1 (/ (* v (pow (log (* 2 v)) 2)) (* sinTheta_O sinTheta_i)))
(* -1 (/ (+ (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_i 2))) sinTheta_O)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* sinTheta_O (pow sinTheta_i 4))) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_i 2))) sinTheta_O)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) sinTheta_O))
(/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (/ (* sinTheta_O (* sinTheta_i (pow (log (* 2 v)) 2))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(+ (* sinTheta_i (- (/ (* (pow sinTheta_O 2) (* sinTheta_i (pow (log (* 2 v)) 2))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* -1 (/ (* sinTheta_O (pow (log (* 2 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(+ (* sinTheta_i (- (* sinTheta_i (- (/ (* (pow sinTheta_O 3) (* sinTheta_i (pow (log (* 2 v)) 2))) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 4))) (* -1 (/ (* (pow sinTheta_O 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3)))))) (* -1 (/ (* sinTheta_O (pow (log (* 2 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(* -1 (/ (* v (pow (log (* 2 v)) 2)) (* sinTheta_O sinTheta_i)))
(/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i)
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 3))))) (+ (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i)) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) sinTheta_i)
(* -1 (/ (* v (pow (log (* 2 v)) 2)) (* sinTheta_O sinTheta_i)))
(* -1 (/ (+ (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_O 2))) sinTheta_i)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* (pow sinTheta_O 4) sinTheta_i)) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_O 2))) sinTheta_i)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) sinTheta_i))
Outputs
(- 6931/10000 (/ 1 v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))
(*.f32 sinTheta_O (+.f32 (neg.f32 (/.f32 sinTheta_i v)) (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))
(*.f32 sinTheta_O (+.f32 (neg.f32 (/.f32 sinTheta_i v)) (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))) (/ 1 (* sinTheta_O v))))
(*.f32 sinTheta_O (+.f32 (neg.f32 (/.f32 sinTheta_i v)) (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)))
(- 6931/10000 (/ 1 v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))
(*.f32 sinTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v) (/.f32 #s(literal 6931/10000 binary32) sinTheta_i)) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))
(*.f32 sinTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v) (/.f32 #s(literal 6931/10000 binary32) sinTheta_i)) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))) (/ 1 (* sinTheta_i v))))
(*.f32 sinTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 sinTheta_O v) (/.f32 #s(literal 6931/10000 binary32) sinTheta_i)) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(*.f32 (neg.f32 sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(*.f32 (neg.f32 sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (+ (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(*.f32 (neg.f32 sinTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)
(/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)
(/ (+ (* -1 (+ 1 (* sinTheta_O sinTheta_i))) (* 6931/10000 v)) v)
(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v (neg.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v)
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))
(*.f32 sinTheta_O (-.f32 (neg.f32 (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))
(* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))
(*.f32 sinTheta_O (-.f32 (neg.f32 (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))
(* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v))))
(*.f32 sinTheta_O (-.f32 (neg.f32 (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 (neg.f32 sinTheta_O) (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 (neg.f32 sinTheta_O) (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))
(* -1 (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 (neg.f32 sinTheta_O) (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))
(- (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))
(*.f32 sinTheta_i (-.f32 (/.f32 (neg.f32 sinTheta_O) v) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))
(* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))
(*.f32 sinTheta_i (-.f32 (/.f32 (neg.f32 sinTheta_O) v) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))
(* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v))))
(*.f32 sinTheta_i (-.f32 (/.f32 (neg.f32 sinTheta_O) v) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 (neg.f32 sinTheta_i) (+.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 (neg.f32 sinTheta_i) (+.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))
(* -1 (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 (neg.f32 sinTheta_i) (+.f32 (/.f32 sinTheta_O v) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v))
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) v)
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) v)
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) v)
(* 1/2 (/ (exp (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (fma.f32 #s(literal 1/4 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (fma.f32 #s(literal -1/12 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) (*.f32 v (*.f32 v v)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) v)) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) v)) (*.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))) (neg.f32 (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) v) (*.f32 (*.f32 #s(literal -1/4 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))))) v))) v))) v))
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(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
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(pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)
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(+ (* 2 (/ (* cosTheta_O (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))) v)) (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2))
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(+ (* cosTheta_i (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2)))) (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2))
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(+ (* cosTheta_i (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2)))) (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2))
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(/ (* (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 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_i v))) (/ (pow cosTheta_O 2) (pow v 2))))
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(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_i v))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (pow cosTheta_i 2)))))
(*.f32 (*.f32 cosTheta_i cosTheta_i) (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_i))))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_i v))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (pow cosTheta_i 2)))))
(*.f32 (*.f32 cosTheta_i cosTheta_i) (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_i))))
(/ (* (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 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 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 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i v)) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (* -1 (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 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 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) cosTheta_i))) cosTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (* -1 (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 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 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) cosTheta_i))) cosTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))))
(pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)
(*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))
(+ (* 2 (/ (* cosTheta_O (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))) v)) (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2))
(fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))))
(+ (* cosTheta_O (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))) (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2))
(fma.f32 cosTheta_O (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))))
(+ (* cosTheta_O (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))) (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2))
(fma.f32 cosTheta_O (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) 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_O 2) (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 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 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_O v))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (pow cosTheta_O 2)))))
(*.f32 (*.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O v)) (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v)) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O cosTheta_O)))))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_O v))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (pow cosTheta_O 2)))))
(*.f32 (*.f32 cosTheta_O cosTheta_O) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O v)) (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v)) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O cosTheta_O)))))
(/ (* (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_O 2) (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 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 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (* -1 (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 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 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) cosTheta_O))) cosTheta_O) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (* -1 (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 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 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) v) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) cosTheta_O))) cosTheta_O) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))
(pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)
(*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+ (* -2 (/ (* sinTheta_O (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+ (* 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))
(fma.f32 sinTheta_O (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+ (* 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))
(fma.f32 sinTheta_O (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.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))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_O 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) (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_O v)) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_O sinTheta_O))))
(* (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) (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_O v)) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_O sinTheta_O))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.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))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_O v)) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v 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) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v)) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O))) sinTheta_O))))
(* (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) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v)) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O))) sinTheta_O))))
(pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)
(*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+ (* -2 (/ (* sinTheta_O (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+ (* 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))
(fma.f32 sinTheta_i (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+ (* 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))
(fma.f32 sinTheta_i (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v))) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))
(* (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))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v))))
(* (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)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_i sinTheta_i))))
(* (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)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_i sinTheta_i))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))
(* (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))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_i v)) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v 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 2 binary32) (/.f32 (*.f32 sinTheta_O (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_i))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v 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 2 binary32) (/.f32 (*.f32 sinTheta_O (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_i))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v))))
(/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))
(/.f32 (*.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (*.f32 v v))
(/ (+ (* 6931/5000 (* v (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))
(/.f32 (fma.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal 6931/5000 binary32) v) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) (*.f32 v v))
(/ (+ (* v (+ (* 48038761/100000000 v) (* 6931/5000 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))
(/.f32 (fma.f32 v (fma.f32 #s(literal 6931/5000 binary32) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 #s(literal 48038761/100000000 binary32) v)) (*.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) (*.f32 v v))
(/ (+ (* v (+ (* 48038761/100000000 v) (* 6931/5000 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))
(/.f32 (fma.f32 v (fma.f32 #s(literal 6931/5000 binary32) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 #s(literal 48038761/100000000 binary32) v)) (*.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))) (*.f32 v v))
48038761/100000000
#s(literal 48038761/100000000 binary32)
(+ 48038761/100000000 (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)))
(fma.f32 #s(literal 6931/5000 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v) #s(literal 48038761/100000000 binary32))
(+ 48038761/100000000 (+ (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))))
(+.f32 (fma.f32 #s(literal 6931/5000 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v) #s(literal 48038761/100000000 binary32)) (/.f32 (*.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (*.f32 v v)))
(+ 48038761/100000000 (+ (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))))
(+.f32 (fma.f32 #s(literal 6931/5000 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v) #s(literal 48038761/100000000 binary32)) (/.f32 (*.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (*.f32 v v)))
48038761/100000000
#s(literal 48038761/100000000 binary32)
(+ 48038761/100000000 (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)))
(fma.f32 #s(literal 6931/5000 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v) #s(literal 48038761/100000000 binary32))
(+ 48038761/100000000 (* -1 (/ (+ (* -6931/5000 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) v))) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -6931/5000 binary32) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (neg.f32 (/.f32 (*.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) v))) v) #s(literal 48038761/100000000 binary32))
(+ 48038761/100000000 (* -1 (/ (+ (* -6931/5000 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* -1 (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) v))) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -6931/5000 binary32) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (neg.f32 (/.f32 (*.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) v))) v) #s(literal 48038761/100000000 binary32))
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(*.f32 cosTheta_i (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) cosTheta_i)))
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(*.f32 cosTheta_i (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) cosTheta_i)))
(* cosTheta_i (- (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))) (/ 1 cosTheta_i)))
(*.f32 cosTheta_i (+.f32 cosTheta_O (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) cosTheta_i)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) cosTheta_i) (neg.f32 cosTheta_O)))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) cosTheta_i) (neg.f32 cosTheta_O)))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) cosTheta_i) (neg.f32 cosTheta_O)))
(- (* -1 (* sinTheta_O sinTheta_i)) 1)
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(*.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) cosTheta_O)))
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(*.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) cosTheta_O)))
(* cosTheta_O (- (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))) (/ 1 cosTheta_O)))
(*.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) cosTheta_O)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) cosTheta_O) (neg.f32 cosTheta_i)))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) cosTheta_O) (neg.f32 cosTheta_i)))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* -1 (* sinTheta_O sinTheta_i)) 1) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i #s(literal -1 binary32)) cosTheta_O) (neg.f32 cosTheta_i)))
(- (* cosTheta_O cosTheta_i) 1)
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))
(* -1 (* sinTheta_O sinTheta_i))
(*.f32 (neg.f32 sinTheta_O) sinTheta_i)
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(*.f32 sinTheta_O (+.f32 (neg.f32 sinTheta_i) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O)))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(*.f32 sinTheta_O (+.f32 (neg.f32 sinTheta_i) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O)))
(* sinTheta_O (- (+ (* -1 sinTheta_i) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ 1 sinTheta_O)))
(*.f32 sinTheta_O (+.f32 (neg.f32 sinTheta_i) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O)))
(* -1 (* sinTheta_O sinTheta_i))
(*.f32 (neg.f32 sinTheta_O) sinTheta_i)
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O) sinTheta_i))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O) sinTheta_i))
(* -1 (* sinTheta_O (+ sinTheta_i (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) sinTheta_O) sinTheta_i))
(- (* cosTheta_O cosTheta_i) 1)
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
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(/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))
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(fma.f32 cosTheta_i (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(+ (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_i (- (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(fma.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (fma.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))) (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(+ (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (- (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(fma.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (fma.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))) (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (/ cosTheta_O v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (* 2 v)) cosTheta_i)))))
(*.f32 cosTheta_i (-.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v)))) (+.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (*.f32 cosTheta_i v)) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (/.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) cosTheta_i))))
(* cosTheta_i (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* cosTheta_O (pow cosTheta_i 2)))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2))))))))
(*.f32 cosTheta_i (-.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))) (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) (/.f32 cosTheta_O v))) (+.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (*.f32 cosTheta_i v)) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))))))) (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) (/.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) cosTheta_i)))))
(* cosTheta_i (- (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)))) (* cosTheta_O (pow cosTheta_i 3)))) (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* cosTheta_O (pow cosTheta_i 2))))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2))))))))
(*.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (-.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) cosTheta_O) (/.f32 (*.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))))))) cosTheta_O))) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)))) (-.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i v))) (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) (/.f32 cosTheta_O v))) (+.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (*.f32 cosTheta_i v)) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))))))) (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) (/.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) cosTheta_i))))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v)))))) cosTheta_i) (neg.f32 (/.f32 cosTheta_O v))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
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(/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))
(/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(+ (* cosTheta_O (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(fma.f32 cosTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_i (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(+ (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_O (- (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(fma.f32 cosTheta_O (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (fma.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_i (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))) (neg.f32 (/.f32 (*.f32 cosTheta_i (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(+ (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (- (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(fma.f32 cosTheta_O (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (fma.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_i (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_i (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))) (neg.f32 (/.f32 (*.f32 cosTheta_i (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (/ cosTheta_i v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ (log (* 2 v)) cosTheta_O)))))
(*.f32 cosTheta_O (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) cosTheta_O) (-.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))) (+.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (*.f32 cosTheta_O v)) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (/.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) cosTheta_O)))))
(* cosTheta_O (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* (pow cosTheta_O 2) cosTheta_i))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i)))))))
(*.f32 cosTheta_O (-.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))) (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i)) (/.f32 cosTheta_i v))) (+.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (*.f32 cosTheta_O v)) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))))))) (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i)) (/.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) cosTheta_O)))))
(* cosTheta_O (- (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)))) (* (pow cosTheta_O 3) cosTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* (pow cosTheta_O 2) cosTheta_i)))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i)))))))
(*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (-.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) cosTheta_i) (/.f32 (*.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))))))) cosTheta_i))) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) cosTheta_i)) (-.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v))) (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i)) (/.f32 cosTheta_i v))) (+.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) (*.f32 cosTheta_O v)) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))))))) (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i)) (/.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) cosTheta_O))))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v)))))) cosTheta_O) (neg.f32 (/.f32 cosTheta_i v))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) cosTheta_i)) (neg.f32 (/.f32 (*.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))))))) cosTheta_i))) cosTheta_O) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))))))) cosTheta_O) (neg.f32 (/.f32 cosTheta_i v))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
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(/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(+ (* sinTheta_O (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(fma.f32 sinTheta_O (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(fma.f32 sinTheta_O (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (fma.f32 sinTheta_O (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 sinTheta_i (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))) (neg.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_O (- (+ (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (/ (pow sinTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(fma.f32 sinTheta_O (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (fma.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 sinTheta_i (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 sinTheta_i (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))))) (neg.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (/ 1 (* sinTheta_O v)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
(*.f32 sinTheta_O (+.f32 (neg.f32 (/.f32 sinTheta_i v)) (-.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v)) (/.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) sinTheta_O))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (/ 1 (* sinTheta_O v))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))))
(*.f32 sinTheta_O (-.f32 (+.f32 (neg.f32 (/.f32 sinTheta_i v)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v)))))))) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v)) (/.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) sinTheta_O))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_i))) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 3) sinTheta_i)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))))
(*.f32 sinTheta_O (+.f32 (neg.f32 (/.f32 sinTheta_i v)) (-.f32 (+.f32 (neg.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (fma.f32 v (/.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) sinTheta_i)) (neg.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v)))))))) sinTheta_i))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v)))))))) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v)) (/.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) sinTheta_O)))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_O)) (/ sinTheta_i v))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v)))))) sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_O)) (/ sinTheta_i v))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) sinTheta_i) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v)))))))) sinTheta_i)) sinTheta_O) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))))))) sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_i)))) (* sinTheta_O sinTheta_i)) (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i)) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_O)) (/ sinTheta_i v))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) sinTheta_i) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v)))))))) sinTheta_i))) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) sinTheta_i) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v)))))))) sinTheta_i))) sinTheta_O) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))))))) sinTheta_O) (/.f32 sinTheta_i v)))
(/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(+ (* sinTheta_i (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(fma.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_O (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 sinTheta_O (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_i (- (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(fma.f32 sinTheta_i (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (fma.f32 sinTheta_i (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_O (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 sinTheta_O (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))))) (neg.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_i (- (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_i (- (+ (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (/ (pow sinTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(fma.f32 sinTheta_i (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 sinTheta_O (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (fma.f32 sinTheta_i (fma.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_O (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 sinTheta_O (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_O (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 sinTheta_O (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))))) (neg.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (/ 1 (* sinTheta_i v)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
(*.f32 sinTheta_i (+.f32 (/.f32 (neg.f32 sinTheta_O) v) (-.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v)) (/.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) sinTheta_i))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (/ 1 (* sinTheta_i v))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))))
(*.f32 sinTheta_i (+.f32 (/.f32 (neg.f32 sinTheta_O) v) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v)))))))) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v)) (/.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) sinTheta_i)))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_O))) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 3))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v)
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_i)) (/ sinTheta_O v))))
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(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_i)) (/ sinTheta_O v))))
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(/ (* v (pow (log (* 2 v)) 2)) (* cosTheta_O cosTheta_i))
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(/ (- (+ (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i)))) cosTheta_i)
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(/ (* v (pow (log (* 2 v)) 2)) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 cosTheta_O cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i))
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(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (* -1 (/ (- (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
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(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_O)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* (pow cosTheta_O 4) cosTheta_i)) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (pow cosTheta_O 3))) cosTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
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(/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))
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(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow (log (* 2 v)) 2))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2)))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
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(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (/ (* cosTheta_O (* (pow cosTheta_i 3) (pow (log (* 2 v)) 2))) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 4)))) (* -1 (/ (* (pow cosTheta_i 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3)))))) (/ (* cosTheta_i (pow (log (* 2 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
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(/ (* v (pow (log (* 2 v)) 2)) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 cosTheta_O cosTheta_i))
(/ (+ (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) cosTheta_O)
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(/ (- (+ (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O)
(/.f32 (-.f32 (fma.f32 v (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 v (*.f32 v v)) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))))) (/.f32 (*.f32 (*.f32 v v) (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 (neg.f32 sinTheta_O) sinTheta_i) v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)))) cosTheta_O)
(/ (- (+ (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (+ (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O)
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(/ (* v (pow (log (* 2 v)) 2)) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 cosTheta_O cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O))
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(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (* -1 (/ (- (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* cosTheta_O (pow cosTheta_i 3))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
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(* -1 (/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) cosTheta_i)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* cosTheta_O (pow cosTheta_i 4))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (pow cosTheta_i 3))) cosTheta_O)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
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(/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(+ (/ (* sinTheta_O (* sinTheta_i (pow (log (* 2 v)) 2))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
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(+ (* sinTheta_O (- (/ (* sinTheta_O (* (pow sinTheta_i 2) (pow (log (* 2 v)) 2))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* -1 (/ (* sinTheta_i (pow (log (* 2 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
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(+ (* sinTheta_O (- (* sinTheta_O (- (/ (* sinTheta_O (* (pow sinTheta_i 3) (pow (log (* 2 v)) 2))) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 4))) (* -1 (/ (* (pow sinTheta_i 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3)))))) (* -1 (/ (* sinTheta_i (pow (log (* 2 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
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(* -1 (/ (* v (pow (log (* 2 v)) 2)) (* sinTheta_O sinTheta_i)))
(neg.f32 (/.f32 (*.f32 v (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 sinTheta_O sinTheta_i)))
(/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
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(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O)
(/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 v (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) sinTheta_i) (/.f32 (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))) (neg.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) sinTheta_O)
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* (pow sinTheta_O 3) (pow sinTheta_i 4))))) (+ (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2))) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) sinTheta_O)
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(* -1 (/ (* v (pow (log (* 2 v)) 2)) (* sinTheta_O sinTheta_i)))
(neg.f32 (/.f32 (*.f32 v (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 sinTheta_O sinTheta_i)))
(* -1 (/ (+ (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_i 2))) sinTheta_O)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) sinTheta_O))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* sinTheta_O (pow sinTheta_i 4))) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_i 2))) sinTheta_O)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_i)) sinTheta_O))
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(/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(+ (* sinTheta_i (- (/ (* (pow sinTheta_O 2) (* sinTheta_i (pow (log (* 2 v)) 2))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* -1 (/ (* sinTheta_O (pow (log (* 2 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(fma.f32 sinTheta_i (fma.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 (*.f32 v v) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_i (- (* sinTheta_i (- (/ (* (pow sinTheta_O 3) (* sinTheta_i (pow (log (* 2 v)) 2))) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 4))) (* -1 (/ (* (pow sinTheta_O 2) (pow (log (* 2 v)) 2)) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3)))))) (* -1 (/ (* sinTheta_O (pow (log (* 2 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_i (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 (*.f32 v (*.f32 v v)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 4 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 (*.f32 v v) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)))))) (neg.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))))
(* -1 (/ (* v (pow (log (* 2 v)) 2)) (* sinTheta_O sinTheta_i)))
(neg.f32 (/.f32 (*.f32 v (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 sinTheta_O sinTheta_i)))
(/ (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) (* -1 (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(neg.f32 (/.f32 (fma.f32 (*.f32 v v) (/.f32 (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) (/.f32 (*.f32 v (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) sinTheta_O)) sinTheta_i))
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i)
(/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 v (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) sinTheta_O) (/.f32 (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (neg.f32 (/.f32 (*.f32 (*.f32 v v) (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)))) sinTheta_i)
(/ (- (+ (* -1 (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) (* -1 (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 3))))) (+ (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i)) (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) sinTheta_i)
(/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 v (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) sinTheta_O) (/.f32 (*.f32 (pow.f32 v #s(literal 4 binary32)) (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)))) (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))) (neg.f32 (fma.f32 (*.f32 v (*.f32 v v)) (/.f32 (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (/.f32 (*.f32 (*.f32 v v) (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))))) sinTheta_i)
(* -1 (/ (* v (pow (log (* 2 v)) 2)) (* sinTheta_O sinTheta_i)))
(neg.f32 (/.f32 (*.f32 v (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) (*.f32 sinTheta_O sinTheta_i)))
(* -1 (/ (+ (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i))
(neg.f32 (/.f32 (fma.f32 (*.f32 v v) (/.f32 (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v)))) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) (/.f32 (*.f32 v (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))) sinTheta_O)) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_O 2))) sinTheta_i)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) sinTheta_i))
(neg.f32 (/.f32 (fma.f32 v (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) sinTheta_O) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i))) (/.f32 (*.f32 (*.f32 v v) (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (*.f32 sinTheta_O sinTheta_O))) sinTheta_i))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* (pow sinTheta_O 4) sinTheta_i)) (* -1 (/ (* (pow v 3) (* (pow (log (* 2 v)) 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* (pow v 2) (* (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_O 2))) sinTheta_i)) (/ (* v (pow (log (* 2 v)) 2)) sinTheta_O)) sinTheta_i))
(neg.f32 (/.f32 (fma.f32 v (/.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) sinTheta_O) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 v #s(literal 4 binary32)) (/.f32 (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))) (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) sinTheta_i)) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))) sinTheta_i)) (/.f32 (*.f32 (*.f32 v v) (*.f32 (pow.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32)) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 #s(literal 2 binary32) v))) (/.f32 #s(literal 1 binary32) v))))) (*.f32 sinTheta_O sinTheta_O))) sinTheta_i))) sinTheta_i))

eval311.0ms (2.1%)

Memory
46.7MiB live, 587.0MiB allocated
Compiler

Compiled 129 872 to 5 787 computations (95.5% saved)

prune296.0ms (2%)

Memory
-20.2MiB live, 398.9MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1 682101 692
Fresh303
Picked415
Done000
Total1 689111 700
Accuracy
100.0%
Counts
1 700 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
6.1%
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
▶99.9%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
99.2%
(/.f32 (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))))
99.1%
(/.f32 (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (exp.f32 (*.f32 v (fma.f32 v (fma.f32 v (*.f32 #s(literal -1 binary32) (fma.f32 v (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32))) (pow.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) #s(literal 4 binary32))) (neg.f32 (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32))) (*.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))))))) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32)))) (pow.f32 (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32))) (*.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))))) (/.f32 (pow.f32 (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))))))
▶99.1%
(/.f32 (exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))) (pow.f32 (*.f32 v #s(literal 2 binary32)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))))
99.1%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 (/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))))
▶99.4%
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓17.1%
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
▶99.9%
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
99.4%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
▶6.3%
#s(literal 1 binary32)
Compiler

Compiled 951 to 394 computations (58.6% saved)

simplify575.0ms (3.9%)

Memory
-28.8MiB live, 608.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))
✓cost-diff0
(exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))))
✓cost-diff0
(/.f32 (exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))) (pow.f32 (*.f32 v #s(literal 2 binary32)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))))
✓cost-diff64
(*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))
✓cost-diff0
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
✓cost-diff0
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
✓cost-diff0
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
✓cost-diff2944
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
✓cost-diff0
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
✓cost-diff0
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
✓cost-diff0
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓cost-diff0
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
✓cost-diff0
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
✓cost-diff0
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
Rules
11 194×accelerator-lowering-fma.f32
11 194×accelerator-lowering-fma.f64
3 332×+-lowering-+.f64
3 332×+-lowering-+.f32
3 278×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036457
176439
2158438
3332438
4705438
52043438
66770438
08492408
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* 1/2 (exp (- 6931/10000 (/ 1 v)))) v)
(* 1/2 (exp (- 6931/10000 (/ 1 v))))
1/2
(exp (- 6931/10000 (/ 1 v)))
(- 6931/10000 (/ 1 v))
6931/10000
(/ 1 v)
1
v
1
(exp (/ (+ (* cosTheta_O cosTheta_i) -1) v))
(/ (+ (* cosTheta_O cosTheta_i) -1) v)
(+ (* cosTheta_O cosTheta_i) -1)
cosTheta_O
cosTheta_i
-1
v
(exp (+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) (- 6931/10000 (log (* v 2)))))
(+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) (- 6931/10000 (log (* v 2))))
(/ (+ (* cosTheta_O cosTheta_i) -1) v)
(+ (* cosTheta_O cosTheta_i) -1)
cosTheta_O
cosTheta_i
-1
v
(- 6931/10000 (log (* v 2)))
6931/10000
(log (* v 2))
(* v 2)
2
(/ (exp (/ (* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))) (pow (* v 2) (/ (log (* v 2)) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))))
(exp (/ (* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)))))
(/ (* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))
(* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)))
(+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))
6931/10000
(/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)
(+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1))
sinTheta_O
(neg sinTheta_i)
sinTheta_i
(+ (* cosTheta_O cosTheta_i) -1)
cosTheta_O
cosTheta_i
-1
v
(+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)))
(log (* v 2))
(* v 2)
2
(pow (* v 2) (/ (log (* v 2)) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)))))
(/ (log (* v 2)) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))
Outputs
(/ (* 1/2 (exp (- 6931/10000 (/ 1 v)))) v)
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(* 1/2 (exp (- 6931/10000 (/ 1 v))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
1/2
#s(literal 1/2 binary32)
(exp (- 6931/10000 (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
v
1
#s(literal 1 binary32)
(exp (/ (+ (* cosTheta_O cosTheta_i) -1) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(/ (+ (* cosTheta_O cosTheta_i) -1) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
(+ (* cosTheta_O cosTheta_i) -1)
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
cosTheta_O
cosTheta_i
-1
#s(literal -1 binary32)
v
(exp (+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) (- 6931/10000 (log (* v 2)))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 v #s(literal 2 binary32)))
(+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) (- 6931/10000 (log (* v 2))))
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(/ (+ (* cosTheta_O cosTheta_i) -1) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
(+ (* cosTheta_O cosTheta_i) -1)
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
cosTheta_O
cosTheta_i
-1
#s(literal -1 binary32)
v
(- 6931/10000 (log (* v 2)))
(-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))
6931/10000
#s(literal 6931/10000 binary32)
(log (* v 2))
(log.f32 (*.f32 v #s(literal 2 binary32)))
(* v 2)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)
(/ (exp (/ (* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))) (pow (* v 2) (/ (log (* v 2)) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))))
(/.f32 (exp.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v) #s(literal 6931/5000 binary32)) #s(literal 48038761/100000000 binary32)) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))) (pow.f32 (*.f32 v #s(literal 2 binary32)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))))
(exp (/ (* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)))))
(exp.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v) #s(literal 6931/5000 binary32)) #s(literal 48038761/100000000 binary32)) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))))
(/ (* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))
(/.f32 (fma.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v) #s(literal 6931/5000 binary32)) #s(literal 48038761/100000000 binary32)) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))
(* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)))
(fma.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v) (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v) #s(literal 6931/5000 binary32)) #s(literal 48038761/100000000 binary32))
(+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)
(+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1))
(fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32)))
sinTheta_O
(neg sinTheta_i)
(neg.f32 sinTheta_i)
sinTheta_i
(+ (* cosTheta_O cosTheta_i) -1)
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
cosTheta_O
cosTheta_i
-1
#s(literal -1 binary32)
v
(+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))
(log (* v 2))
(log.f32 (*.f32 v #s(literal 2 binary32)))
(* v 2)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)
(pow (* v 2) (/ (log (* v 2)) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)))))
(pow.f32 (*.f32 v #s(literal 2 binary32)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v)))))
(/ (log (* v 2)) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))
(/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))))

localize161.0ms (1.1%)

Memory
2.1MiB live, 79.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))
✓accuracy99.3%
(*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))
✓accuracy98.4%
(/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))
✓accuracy52.2%
(/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))
✓accuracy100.0%
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
✓accuracy100.0%
(-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))
✓accuracy99.9%
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
✓accuracy99.8%
(+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
✓accuracy100.0%
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
✓accuracy100.0%
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
✓accuracy99.9%
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
✓accuracy100.0%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
✓accuracy99.9%
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
✓accuracy99.9%
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
Samples
93.0ms256×0valid
Compiler

Compiled 415 to 38 computations (90.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-div: 11.0ms (24.7% of total)
ival-exp: 7.0ms (15.7% of total)
ival-mult: 7.0ms (15.7% of total)
ival-add: 5.0ms (11.2% of total)
const: 4.0ms (9% of total)
ival-pow: 4.0ms (9% of total)
ival-log: 3.0ms (6.7% of total)
ival-sub: 2.0ms (4.5% of total)
ival-neg: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series169.0ms (1.2%)

Memory
1.6MiB live, 120.3MiB allocated
Counts
16 → 588
Calls
Call 1
Inputs
#<alt (/ (* 1/2 (exp (- 6931/10000 (/ 1 v)))) v)>
#<alt (* 1/2 (exp (- 6931/10000 (/ 1 v))))>
#<alt (exp (- 6931/10000 (/ 1 v)))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (exp (/ (+ (* cosTheta_O cosTheta_i) -1) v))>
#<alt (/ (+ (* cosTheta_O cosTheta_i) -1) v)>
#<alt (+ (* cosTheta_O cosTheta_i) -1)>
#<alt (exp (+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) (- 6931/10000 (log (* v 2)))))>
#<alt (+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) (- 6931/10000 (log (* v 2))))>
#<alt (* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)))>
#<alt (/ (exp (/ (* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))) (pow (* v 2) (/ (log (* v 2)) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))))>
#<alt (exp (/ (* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)))))>
#<alt (/ (* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))>
#<alt (- 6931/10000 (log (* v 2)))>
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Outputs
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#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_i)) (/ sinTheta_O v))))>
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#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_O)))) (* sinTheta_O sinTheta_i)) (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O)) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))>
#<alt (+ (* cosTheta_O (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (+ (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_O (- (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (+ (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (- (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (/ cosTheta_i v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ (log (* 2 v)) cosTheta_O)))))>
#<alt (* cosTheta_O (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* (pow cosTheta_O 2) cosTheta_i))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i)))))))>
#<alt (* cosTheta_O (- (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)))) (* (pow cosTheta_O 3) cosTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* (pow cosTheta_O 2) cosTheta_i)))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))>
#<alt (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))>
#<alt (+ (* cosTheta_i (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (+ (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_i (- (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (+ (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (- (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (/ cosTheta_O v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (* 2 v)) cosTheta_i)))))>
#<alt (* cosTheta_i (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* cosTheta_O (pow cosTheta_i 2)))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2))))))))>
#<alt (* cosTheta_i (- (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)))) (* cosTheta_O (pow cosTheta_i 3)))) (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* cosTheta_O (pow cosTheta_i 2))))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2))))))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (- 6931/10000 (+ (log 2) (log v)))))) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (- (+ 6931/10000 (* v (- (* 48038761/100000000 (/ 1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))) (/ (* (+ 6931/10000 (+ (log 2) (log v))) (- 6931/10000 (+ (log 2) (log v)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))))) (+ (log 2) (log v)))))) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (- (+ 6931/10000 (* v (- (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (log 2) (log v))) (- (* 48038761/100000000 (/ 1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))) (/ (* (+ 6931/10000 (+ (log 2) (log v))) (- 6931/10000 (+ (log 2) (log v)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))) (* 48038761/100000000 (/ 1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))) (/ (* (+ 6931/10000 (+ (log 2) (log v))) (- 6931/10000 (+ (log 2) (log v)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))))) (+ (log 2) (log v)))))) 1) v)>
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#<alt (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (log (* 2 v)))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2)))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (+ (* cosTheta_O (- (/ (* cosTheta_O (* (pow cosTheta_i 2) (log (* 2 v)))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (/ (* cosTheta_i (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (/ (* cosTheta_O (* (pow cosTheta_i 3) (log (* 2 v)))) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 4)))) (* -1 (/ (* (pow cosTheta_i 2) (log (* 2 v))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3)))))) (/ (* cosTheta_i (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (/ (* v (log (* 2 v))) (* cosTheta_O cosTheta_i))>
#<alt (/ (+ (* -1 (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* v (log (* 2 v))) cosTheta_i)) cosTheta_O)>
#<alt (/ (- (+ (/ (* v (log (* 2 v))) cosTheta_i) (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O)>
#<alt (/ (- (+ (* -1 (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (/ (* v (log (* 2 v))) cosTheta_i)) (+ (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O)>
#<alt (/ (* v (log (* 2 v))) (* cosTheta_O cosTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_i)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O))>
#<alt (* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_i)) (* -1 (/ (- (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* cosTheta_O (pow cosTheta_i 3))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))>
#<alt (* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_i)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* cosTheta_O (pow cosTheta_i 4))) (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (pow cosTheta_i 3))) cosTheta_O)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))>
#<alt (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (log (* 2 v)))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2)))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (+ (* cosTheta_i (- (/ (* (pow cosTheta_O 2) (* cosTheta_i (log (* 2 v)))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (/ (* cosTheta_O (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (/ (* (pow cosTheta_O 3) (* cosTheta_i (log (* 2 v)))) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 4)))) (* -1 (/ (* (pow cosTheta_O 2) (log (* 2 v))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3)))))) (/ (* cosTheta_O (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))>
#<alt (/ (* v (log (* 2 v))) (* cosTheta_O cosTheta_i))>
#<alt (/ (+ (* -1 (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i))) (/ (* v (log (* 2 v))) cosTheta_O)) cosTheta_i)>
#<alt (/ (- (+ (/ (* v (log (* 2 v))) cosTheta_O) (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i)>
#<alt (/ (- (+ (* -1 (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (/ (* v (log (* 2 v))) cosTheta_O)) (+ (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i)))) cosTheta_i)>
#<alt (/ (* v (log (* 2 v))) (* cosTheta_O cosTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_O)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_O)) (* -1 (/ (- (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_O)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* (pow cosTheta_O 4) cosTheta_i)) (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (pow cosTheta_O 3))) cosTheta_i)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 2) (log v)))))) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 2) (log v)))))) 1) v)>
#<alt (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 2) (log v)))))) 1) v)>
#<alt (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))>
#<alt (- (+ 6931/10000 (+ (log 2) (+ (* -1 (log (/ 1 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log 2) (+ (* -1 (log (/ 1 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log 2) (+ (* -1 (log (/ 1 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))>
#<alt (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))>
#<alt (- (+ 6931/10000 (+ (log -2) (+ (* -1 (log (/ -1 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log -2) (+ (* -1 (log (/ -1 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log -2) (+ (* -1 (log (/ -1 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))) (/ 1 (* sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))) (/ 1 (* sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (* 2 v)) cosTheta_O)))) (/ 1 (* cosTheta_O v))))>
#<alt (* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (* 2 v)) cosTheta_O)))) (/ 1 (* cosTheta_O v))))>
#<alt (* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (* 2 v)) cosTheta_O)))) (/ 1 (* cosTheta_O v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_O)))))>
#<alt (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (* 2 v)) cosTheta_i)))) (/ 1 (* cosTheta_i v))))>
#<alt (* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (* 2 v)) cosTheta_i)))) (/ 1 (* cosTheta_i v))))>
#<alt (* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (* 2 v)) cosTheta_i)))) (/ 1 (* cosTheta_i v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_i)))))>
Calls

147 calls:

TimeVariablePointExpression
27.0ms
sinTheta_O
@0
(+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)))
22.0ms
cosTheta_i
@0
(/ (exp (/ (* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))) (pow (* v 2) (/ (log (* v 2)) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))))
3.0ms
cosTheta_O
@0
(+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) (- 6931/10000 (log (* v 2))))
2.0ms
cosTheta_O
@0
(/ (exp (/ (* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))) (pow (* v 2) (/ (log (* v 2)) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))))
2.0ms
sinTheta_O
@0
(/ (exp (/ (* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))) (pow (* v 2) (/ (log (* v 2)) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))))

rewrite679.0ms (4.6%)

Memory
9.0MiB live, 479.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 540×accelerator-lowering-fma.f32
4 540×accelerator-lowering-fma.f64
4 324×/-lowering-/.f32
4 324×/-lowering-/.f64
3 730×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036282
1208270
22021228
08578215
Stop Event
1×iter limit
1×node limit
Counts
16 → 527
Calls
Call 1
Inputs
(/ (* 1/2 (exp (- 6931/10000 (/ 1 v)))) v)
(* 1/2 (exp (- 6931/10000 (/ 1 v))))
(exp (- 6931/10000 (/ 1 v)))
(- 6931/10000 (/ 1 v))
(exp (/ (+ (* cosTheta_O cosTheta_i) -1) v))
(/ (+ (* cosTheta_O cosTheta_i) -1) v)
(+ (* cosTheta_O cosTheta_i) -1)
(exp (+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) (- 6931/10000 (log (* v 2)))))
(+ (/ (+ (* cosTheta_O cosTheta_i) -1) v) (- 6931/10000 (log (* v 2))))
(* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)))
(/ (exp (/ (* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))) (pow (* v 2) (/ (log (* v 2)) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))))
(exp (/ (* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)))))
(/ (* (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))
(- 6931/10000 (log (* v 2)))
(/ (log (* v 2)) (+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v))))
(+ (log (* v 2)) (+ 6931/10000 (/ (+ (* sinTheta_O (neg sinTheta_i)) (+ (* cosTheta_O cosTheta_i) -1)) v)))
Outputs
(neg.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
(neg.f32 (*.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 v)) (*.f32 #s(literal -1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 v (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal 1 binary32))))
(/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32))) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32)) v)
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)))) (neg.f32 (neg.f32 (neg.f32 v))))
(/.f32 (neg.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32))) (neg.f32 (neg.f32 v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v))
(*.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal -1 binary32)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32))
(*.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) v) #s(literal 1/2 binary32))
(*.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32)))
(*.f32 (/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) v))
(*.f32 (/.f32 (neg.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(pow.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32))))
(pow.f32 (exp.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
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(/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (neg.f32 (neg.f32 (exp.f32 #s(literal 6931/10000 binary32)))) (neg.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
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(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)) (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(-.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32))))
(-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
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(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))) (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))) (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))) (fma.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))) (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))) (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))) (*.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))) (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))))))
(*.f32 (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (log.f32 (*.f32 v #s(literal 2 binary32)))) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)))))
(*.f32 (-.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)))))

simplify806.0ms (5.5%)

Memory
9.2MiB live, 1 720.5MiB allocated
Algorithm
1×egg-herbie
Rules
6 508×*-lowering-*.f32
6 508×*-lowering-*.f64
4 300×accelerator-lowering-fma.f32
4 300×accelerator-lowering-fma.f64
3 916×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0234657180
0800255052
Stop Event
1×iter limit
1×node limit
Counts
588 → 588
Calls
Call 1
Inputs
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v)
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/12 (/ (exp 6931/10000) (pow v 3))) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/4 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (exp 6931/10000)) (* 1/12 (/ (exp 6931/10000) v))) v)) (* -1/2 (exp 6931/10000))) v)) (* -1/2 (exp 6931/10000))) v))
(* 1/2 (exp (- 6931/10000 (/ 1 v))))
(* 1/2 (exp (- 6931/10000 (/ 1 v))))
(* 1/2 (exp (- 6931/10000 (/ 1 v))))
(* 1/2 (exp (- 6931/10000 (/ 1 v))))
(* 1/2 (exp 6931/10000))
(+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000)))
(+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000))))
(+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/12 (/ (exp 6931/10000) (pow v 3))) (+ (* 1/4 (/ (exp 6931/10000) (pow v 2))) (* 1/2 (exp 6931/10000)))))
(* 1/2 (exp 6931/10000))
(+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000)))
(+ (* -1 (/ (+ (* -1/4 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v)) (* 1/2 (exp 6931/10000)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (exp 6931/10000) v)) (* 1/4 (exp 6931/10000))) v)) (* 1/2 (exp 6931/10000))) v)) (* 1/2 (exp 6931/10000)))
(exp (- 6931/10000 (/ 1 v)))
(exp (- 6931/10000 (/ 1 v)))
(exp (- 6931/10000 (/ 1 v)))
(exp (- 6931/10000 (/ 1 v)))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v)))
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (* 1/2 (/ (exp 6931/10000) (pow v 2)))))
(+ (exp 6931/10000) (+ (* -1 (/ (exp 6931/10000) v)) (+ (* -1/6 (/ (exp 6931/10000) (pow v 3))) (* 1/2 (/ (exp 6931/10000) (pow v 2))))))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (exp 6931/10000) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1/2 (/ (exp 6931/10000) v))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (exp 6931/10000) (* -1 (/ (+ (* -1/6 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v))) v)))
(/ -1 v)
(/ (- (* 6931/10000 v) 1) v)
(/ (- (* 6931/10000 v) 1) v)
(/ (- (* 6931/10000 v) 1) v)
6931/10000
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
6931/10000
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
(exp (/ -1 v))
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ -1 v))) v))))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ -1 v))
(+ (exp (/ -1 v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ -1 v)))) v))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ -1 v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(+ (exp (/ -1 v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ -1 v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ -1 v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ -1 v))) v))))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) 1)) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) 1) 2))) v))) v)))
(/ -1 v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (/ cosTheta_i v) (/ 1 (* cosTheta_O v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ 1 (* cosTheta_O v)))))
(/ -1 v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (/ cosTheta_O v) (/ 1 (* cosTheta_i v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ 1 (* cosTheta_i v)))))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
-1
(- (* cosTheta_O cosTheta_i) 1)
(- (* cosTheta_O cosTheta_i) 1)
(- (* cosTheta_O cosTheta_i) 1)
(* cosTheta_O cosTheta_i)
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O)))
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O)))
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O)))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ 1 cosTheta_O))))
-1
(- (* cosTheta_O cosTheta_i) 1)
(- (* cosTheta_O cosTheta_i) 1)
(- (* cosTheta_O cosTheta_i) 1)
(* cosTheta_O cosTheta_i)
(* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i)))
(* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i)))
(* cosTheta_i (- cosTheta_O (/ 1 cosTheta_i)))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ 1 cosTheta_i))))
(exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v))))
(+ (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v)))))) v))
(+ (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v))))) v))))
(+ (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v))))) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v))))
(+ (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v)))))) v))
(+ (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v))))) v))))
(+ (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (log (* 2 v)) (/ 1 v))))) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log (* 2 v)) (/ 1 v))))
(exp (- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))
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48038761/100000000
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48038761/100000000
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(exp (/ 48038761/100000000 (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))))
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -1 (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (- (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2))))) v)))
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -1 (/ (+ (* -1 (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (- (+ (* 1/2 (pow (- (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) 2)) (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -1 (/ (* (- (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))))) v)) (* (exp (/ 48038761/100000000 (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (- (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))))) v)))
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ 48038761/100000000 (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (+ (* 1/6 (pow (- (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) 3)) (+ (* (- (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) (- (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (* (- (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))))) (/ (* (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (- (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (* (- (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))))) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))))) v)) (* (exp (/ 48038761/100000000 (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (- (+ (* 1/2 (pow (- (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) 2)) (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -1 (/ (* (- (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))))))) v)) (* (exp (/ 48038761/100000000 (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (- (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))))) v)))
(/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (* sinTheta_O (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_O (- (+ (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (/ (pow sinTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (/ 1 (* sinTheta_O v)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (/ 1 (* sinTheta_O v))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_i))) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 3) sinTheta_i)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_i)))) (* sinTheta_O sinTheta_i)) (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i)) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_O)) (/ sinTheta_i v))))
(/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (* sinTheta_i (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(+ (* sinTheta_i (- (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(+ (* sinTheta_i (- (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_i (- (+ (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (/ (pow sinTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (/ 1 (* sinTheta_i v)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (/ 1 (* sinTheta_i v))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_O))) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 3))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_O)))) (* sinTheta_O sinTheta_i)) (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O)) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_i)) (/ sinTheta_O v))))
(/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))
(+ (* cosTheta_O (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(+ (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_O (- (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(+ (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (- (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (/ cosTheta_i v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ (log (* 2 v)) cosTheta_O)))))
(* cosTheta_O (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* (pow cosTheta_O 2) cosTheta_i))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i)))))))
(* cosTheta_O (- (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)))) (* (pow cosTheta_O 3) cosTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* (pow cosTheta_O 2) cosTheta_i)))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i)))))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))
(+ (* cosTheta_i (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(+ (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_i (- (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(+ (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (- (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (/ cosTheta_O v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (* 2 v)) cosTheta_i)))))
(* cosTheta_i (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* cosTheta_O (pow cosTheta_i 2)))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2))))))))
(* cosTheta_i (- (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)))) (* cosTheta_O (pow cosTheta_i 3)))) (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* cosTheta_O (pow cosTheta_i 2))))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2))))))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (- 6931/10000 (+ (log 2) (log v)))))) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (- (+ 6931/10000 (* v (- (* 48038761/100000000 (/ 1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))) (/ (* (+ 6931/10000 (+ (log 2) (log v))) (- 6931/10000 (+ (log 2) (log v)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))))) (+ (log 2) (log v)))))) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (- (+ 6931/10000 (* v (- (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (log 2) (log v))) (- (* 48038761/100000000 (/ 1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))) (/ (* (+ 6931/10000 (+ (log 2) (log v))) (- 6931/10000 (+ (log 2) (log v)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))) (* 48038761/100000000 (/ 1 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))) (/ (* (+ 6931/10000 (+ (log 2) (log v))) (- 6931/10000 (+ (log 2) (log v)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))))) (+ (log 2) (log v)))))) 1) v)
(/ 48038761/100000000 (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))
(- (+ (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (* v (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))))) (* 48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (* v (pow (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))) 2)))))
(- (+ (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (* v (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))))) (+ (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))) (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (* (pow v 2) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))))) (+ (* 48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (* v (pow (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))) 2)))) (/ (* (- (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))) (* 48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))) 2)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* (pow v 2) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))))))
(- (+ (* -1 (/ (* (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (- (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (/ (* (- (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))) (* 48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))) 2)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))))) (* (pow v 3) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))))) (+ (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (* v (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))))) (+ (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))) (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (* (pow v 2) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))))))) (+ (* 48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (* v (pow (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))) 2)))) (/ (* (- (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))) (* 48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))) 2)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* (pow v 2) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))))))
(/ 48038761/100000000 (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))
(+ (* -1 (/ (- (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) v)) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))))
(+ (* -1 (/ (- (+ (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -1 (/ (- (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (* (- (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))))) v))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) v)) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))))
(+ (* -1 (/ (- (+ (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -1 (/ (- (+ (* -1 (/ (* (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (- (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))) (* -1 (/ (* (- (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))))) (* v (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))))) (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -1 (/ (* (- (* -6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))))) v))) (* -48038761/100000000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) v)) (* 48038761/100000000 (/ 1 (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))))
(- 6931/10000 (+ (log 2) (log v)))
(- 6931/10000 (+ (log 2) (log v)))
(- 6931/10000 (+ (log 2) (log v)))
(- 6931/10000 (+ (log 2) (log v)))
(- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))
(- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))
(- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))
(- 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))
(- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))
(- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))
(- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))
(- 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))
(/ (* v (+ (log 2) (log v))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))
(* v (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (log 2) (log v))) (+ (log 2) (log v)))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2))) (+ (/ (log 2) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (/ (log v) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))))
(* v (+ (* v (- (/ (* v (* (pow (+ 6931/10000 (+ (log 2) (log v))) 2) (+ (log 2) (log v)))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3)) (/ (* (+ 6931/10000 (+ (log 2) (log v))) (+ (log 2) (log v))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)))) (+ (/ (log 2) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (/ (log v) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))))
(* v (+ (* v (- (* v (- (* -1 (/ (* v (* (pow (+ 6931/10000 (+ (log 2) (log v))) 3) (+ (log 2) (log v)))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 4))) (* -1 (/ (* (pow (+ 6931/10000 (+ (log 2) (log v))) 2) (+ (log 2) (log v))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3))))) (/ (* (+ 6931/10000 (+ (log 2) (log v))) (+ (log 2) (log v))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)))) (+ (/ (log 2) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (/ (log v) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))))
(/ (+ (log 2) (* -1 (log (/ 1 v)))) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))
(+ (* -1 (/ (log (/ 1 v)) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))) (+ (* -1 (/ (* (+ (log 2) (* -1 (log (/ 1 v)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* v (pow (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))) 2)))) (/ (log 2) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))))
(- (+ (* -1 (/ (log (/ 1 v)) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))) (+ (/ (log 2) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))) (/ (* (+ (log 2) (* -1 (log (/ 1 v)))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (* (pow v 2) (pow (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))) 3))))) (/ (* (+ (log 2) (* -1 (log (/ 1 v)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* v (pow (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))) 2))))
(- (+ (* -1 (/ (log (/ 1 v)) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))))) (+ (* -1 (/ (* (+ (log 2) (* -1 (log (/ 1 v)))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3)) (* (pow v 3) (pow (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))) 4)))) (/ (log 2) (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))))) (+ (* -1 (/ (* (+ (log 2) (* -1 (log (/ 1 v)))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (* (pow v 2) (pow (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))) 3)))) (/ (* (+ (log 2) (* -1 (log (/ 1 v)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* v (pow (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v))))) 2)))))
(/ (+ (log -2) (* -1 (log (/ -1 v)))) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))
(+ (* -1 (/ (log (/ -1 v)) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (+ (* -1 (/ (* (+ (log -2) (* -1 (log (/ -1 v)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (* v (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) (/ (log -2) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))))
(+ (* -1 (/ (log (/ -1 v)) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (+ (* -1 (/ (- (* -1 (/ (* (+ (log -2) (* -1 (log (/ -1 v)))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (* v (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 3)))) (* -1 (/ (* (+ (log -2) (* -1 (log (/ -1 v)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) v)) (/ (log -2) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))))
(+ (* -1 (/ (log (/ -1 v)) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (log -2) (* -1 (log (/ -1 v)))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 3)) (* v (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 4)))) (* -1 (/ (* (+ (log -2) (* -1 (log (/ -1 v)))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 3)))) v)) (* -1 (/ (* (+ (log -2) (* -1 (log (/ -1 v)))) (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)) (pow (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))) 2)))) v)) (/ (log -2) (+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v))))))))
(/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (/ (* sinTheta_O (* sinTheta_i (log (* 2 v)))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))))
(+ (* sinTheta_O (- (/ (* sinTheta_O (* (pow sinTheta_i 2) (log (* 2 v)))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* -1 (/ (* sinTheta_i (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(+ (* sinTheta_O (- (* sinTheta_O (- (/ (* sinTheta_O (* (pow sinTheta_i 3) (log (* 2 v)))) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 4))) (* -1 (/ (* (pow sinTheta_i 2) (log (* 2 v))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3)))))) (* -1 (/ (* sinTheta_i (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(* -1 (/ (* v (log (* 2 v))) (* sinTheta_O sinTheta_i)))
(/ (+ (* -1 (/ (* v (log (* 2 v))) sinTheta_i)) (* -1 (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(/ (- (+ (* -1 (/ (* v (log (* 2 v))) sinTheta_i)) (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O)
(/ (- (+ (* -1 (/ (* v (log (* 2 v))) sinTheta_i)) (* -1 (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* (pow sinTheta_O 3) (pow sinTheta_i 4))))) (+ (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2))) (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) sinTheta_O)
(* -1 (/ (* v (log (* 2 v))) (* sinTheta_O sinTheta_i)))
(* -1 (/ (+ (/ (* v (log (* 2 v))) sinTheta_i) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_i 2))) sinTheta_O)) (/ (* v (log (* 2 v))) sinTheta_i)) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* sinTheta_O (pow sinTheta_i 4))) (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_i 2))) sinTheta_O)) (/ (* v (log (* 2 v))) sinTheta_i)) sinTheta_O))
(/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(* -1 (/ (* v (log (* 2 v))) (* sinTheta_O sinTheta_i)))
(/ (+ (* -1 (/ (* v (log (* 2 v))) sinTheta_O)) (* -1 (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/ (- (+ (* -1 (/ (* v (log (* 2 v))) sinTheta_O)) (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i)
(/ (- (+ (* -1 (/ (* v (log (* 2 v))) sinTheta_O)) (* -1 (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 3))))) (+ (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i)) (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) sinTheta_i)
(* -1 (/ (* v (log (* 2 v))) (* sinTheta_O sinTheta_i)))
(* -1 (/ (+ (/ (* v (log (* 2 v))) sinTheta_O) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_O 2))) sinTheta_i)) (/ (* v (log (* 2 v))) sinTheta_O)) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* (pow sinTheta_O 4) sinTheta_i)) (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_O 2))) sinTheta_i)) (/ (* v (log (* 2 v))) sinTheta_O)) sinTheta_i))
(/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (log (* 2 v)))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2)))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(+ (* cosTheta_O (- (/ (* cosTheta_O (* (pow cosTheta_i 2) (log (* 2 v)))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (/ (* cosTheta_i (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (/ (* cosTheta_O (* (pow cosTheta_i 3) (log (* 2 v)))) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 4)))) (* -1 (/ (* (pow cosTheta_i 2) (log (* 2 v))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3)))))) (/ (* cosTheta_i (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(/ (* v (log (* 2 v))) (* cosTheta_O cosTheta_i))
(/ (+ (* -1 (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* v (log (* 2 v))) cosTheta_i)) cosTheta_O)
(/ (- (+ (/ (* v (log (* 2 v))) cosTheta_i) (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O)
(/ (- (+ (* -1 (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (/ (* v (log (* 2 v))) cosTheta_i)) (+ (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O)
(/ (* v (log (* 2 v))) (* cosTheta_O cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_i)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_i)) (* -1 (/ (- (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* cosTheta_O (pow cosTheta_i 3))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_i)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* cosTheta_O (pow cosTheta_i 4))) (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (pow cosTheta_i 3))) cosTheta_O)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
(/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (log (* 2 v)))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2)))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(+ (* cosTheta_i (- (/ (* (pow cosTheta_O 2) (* cosTheta_i (log (* 2 v)))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (/ (* cosTheta_O (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (/ (* (pow cosTheta_O 3) (* cosTheta_i (log (* 2 v)))) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 4)))) (* -1 (/ (* (pow cosTheta_O 2) (log (* 2 v))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3)))))) (/ (* cosTheta_O (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(/ (* v (log (* 2 v))) (* cosTheta_O cosTheta_i))
(/ (+ (* -1 (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i))) (/ (* v (log (* 2 v))) cosTheta_O)) cosTheta_i)
(/ (- (+ (/ (* v (log (* 2 v))) cosTheta_O) (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i)
(/ (- (+ (* -1 (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (/ (* v (log (* 2 v))) cosTheta_O)) (+ (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i)))) cosTheta_i)
(/ (* v (log (* 2 v))) (* cosTheta_O cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_O)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_O)) (* -1 (/ (- (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_O)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* (pow cosTheta_O 4) cosTheta_i)) (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (pow cosTheta_O 3))) cosTheta_i)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 2) (log v)))))) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 2) (log v)))))) 1) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 2) (log v)))))) 1) v)
(+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))
(- (+ 6931/10000 (+ (log 2) (+ (* -1 (log (/ 1 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
(- (+ 6931/10000 (+ (log 2) (+ (* -1 (log (/ 1 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
(- (+ 6931/10000 (+ (log 2) (+ (* -1 (log (/ 1 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
(+ 6931/10000 (+ (log -2) (* -1 (log (/ -1 v)))))
(- (+ 6931/10000 (+ (log -2) (+ (* -1 (log (/ -1 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
(- (+ 6931/10000 (+ (log -2) (+ (* -1 (log (/ -1 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
(- (+ 6931/10000 (+ (log -2) (+ (* -1 (log (/ -1 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
(- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))) (/ 1 (* sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))) (/ 1 (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (* 2 v)) cosTheta_O)))) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (* 2 v)) cosTheta_O)))) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (* 2 v)) cosTheta_O)))) (/ 1 (* cosTheta_O v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_O)))))
(- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (* 2 v)) cosTheta_i)))) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (* 2 v)) cosTheta_i)))) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (* 2 v)) cosTheta_i)))) (/ 1 (* cosTheta_i v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_i)))))
Outputs
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
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(/ (* cosTheta_O cosTheta_i) v)
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(/ -1 v)
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)))
(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O)))
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(* cosTheta_O (- cosTheta_i (/ 1 cosTheta_O)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 #s(literal 1 binary32) cosTheta_O)))
(* cosTheta_O cosTheta_i)
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(*.f32 (*.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i) (*.f32 v sinTheta_O)) (/.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 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i) (*.f32 v sinTheta_O)) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v)) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_O sinTheta_O)))))
(* (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 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i) (*.f32 v sinTheta_O)) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v)) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_O sinTheta_O)))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.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))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i) (*.f32 v sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v 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 2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i) v) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O))) sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v 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 2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i) v) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O))) sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))))
(pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)
(*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(+ (* -2 (/ (* sinTheta_O (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2))
(fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) v) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+ (* 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))
(fma.f32 sinTheta_i (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) v) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(+ (* 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))
(fma.f32 sinTheta_i (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) v) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* (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))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (*.f32 v sinTheta_i)) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v))))
(* (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)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (*.f32 v sinTheta_i)) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_i sinTheta_i)))))
(* (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)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (*.f32 v sinTheta_i)) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (*.f32 sinTheta_i sinTheta_i)))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* (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))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (*.f32 v sinTheta_i)) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v 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 2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) v) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_i))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v 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 2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) v) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_i))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v))))
(pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))
(+ (* 2 (/ (* cosTheta_O (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))) v)) (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2))
(fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
(+ (* cosTheta_O (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))) (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2))
(fma.f32 cosTheta_O (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
(+ (* cosTheta_O (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))) (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2))
(fma.f32 cosTheta_O (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 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 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v cosTheta_O)) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_O v))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (pow cosTheta_O 2)))))
(*.f32 (*.f32 cosTheta_O cosTheta_O) (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v cosTheta_O)) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))) (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O cosTheta_O))))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_O v))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (pow cosTheta_O 2)))))
(*.f32 (*.f32 cosTheta_O cosTheta_O) (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v cosTheta_O)) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))) (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O cosTheta_O))))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v))
(* (pow cosTheta_O 2) (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 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 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 v cosTheta_O)) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (* -1 (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 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 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v) (neg.f32 (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) cosTheta_O))) cosTheta_O) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (* -1 (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 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 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v) (neg.f32 (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) cosTheta_O))) cosTheta_O) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))
(pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))
(+ (* 2 (/ (* cosTheta_O (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)))) v)) (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2))
(fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
(+ (* cosTheta_i (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2)))) (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2))
(fma.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v))) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
(+ (* cosTheta_i (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2)))) (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2))
(fma.f32 cosTheta_i (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v))) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_i v))) (/ (pow cosTheta_O 2) (pow v 2))))
(*.f32 (*.f32 cosTheta_i cosTheta_i) (fma.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (*.f32 v cosTheta_i))) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_i v))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (pow cosTheta_i 2)))))
(*.f32 (*.f32 cosTheta_i cosTheta_i) (+.f32 (fma.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (*.f32 v cosTheta_i))) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))) (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i cosTheta_i))))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_i v))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (pow cosTheta_i 2)))))
(*.f32 (*.f32 cosTheta_i cosTheta_i) (+.f32 (fma.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (*.f32 v cosTheta_i))) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))) (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i cosTheta_i))))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v))
(* (pow cosTheta_i 2) (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* cosTheta_i v))) (/ (pow cosTheta_O 2) (pow v 2))))
(*.f32 (*.f32 cosTheta_i cosTheta_i) (fma.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (*.f32 v cosTheta_i))) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (* -1 (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 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 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) v) (neg.f32 (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) cosTheta_i))) cosTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) v)) (* -1 (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) cosTheta_i))) cosTheta_i)) (/ (pow cosTheta_O 2) (pow v 2))))
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(/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))
(/.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)))) (*.f32 v v))
(/ (+ (* 6931/5000 (* v (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))
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(/ (+ (* v (+ (* 48038761/100000000 v) (* 6931/5000 (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)))) (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2)) (pow v 2))
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48038761/100000000
#s(literal 48038761/100000000 binary32)
(+ 48038761/100000000 (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)))
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(+ 48038761/100000000 (+ (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)) (/ (pow (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) 2) (pow v 2))))
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48038761/100000000
#s(literal 48038761/100000000 binary32)
(+ 48038761/100000000 (* 6931/5000 (/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)))
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(/ (exp (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (exp (/ (pow (log (* 2 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))
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#s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 #s(literal 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(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
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(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
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(+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))))))) (*.f32 (exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))))) (exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))))
(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
(exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)))))
(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
(exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)))))
(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
(exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)))))
(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
(exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)))))
(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
(exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)))))
(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
(exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)))))
(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
(exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)))))
(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
(exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 #s(literal 1 binary32) v)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)))))
(exp (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(exp.f32 (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))
(+ (exp (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (* (exp (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2)))))))
(fma.f32 (*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))) (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_i (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))) (exp.f32 (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))))
(+ (exp (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (+ (* cosTheta_O (* (exp (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (- (+ (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2)))) 2)) (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (* (exp (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))))))
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(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
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(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
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(+ (exp (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_i (* (exp (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2)))))))
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(/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (exp.f32 (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))))
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(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
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(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
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(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
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(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
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(exp (/ (pow (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))))
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(exp (/ 48038761/100000000 (+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))))
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(fma.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i)) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_i) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(fma.f32 sinTheta_O (-.f32 (fma.f32 sinTheta_O (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i)) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_i) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i)) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))) (neg.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_i) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_O (- (+ (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (/ (pow sinTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_i (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(fma.f32 sinTheta_O (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (*.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i)) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_i) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i)) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_i) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))))))) (neg.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_i) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (/ 1 (* sinTheta_O v)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
(*.f32 sinTheta_O (-.f32 (-.f32 (+.f32 (neg.f32 (/.f32 sinTheta_i v)) (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)))) (/.f32 #s(literal 6931/10000 binary32) sinTheta_O)) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_O))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (/ 1 (* sinTheta_O v))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))))
(*.f32 sinTheta_O (-.f32 (+.f32 (neg.f32 (/.f32 sinTheta_i v)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_O))))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_i))) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 3) sinTheta_i)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) (* (pow sinTheta_O 2) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))))
(*.f32 sinTheta_O (+.f32 (neg.f32 (/.f32 sinTheta_i v)) (-.f32 (+.f32 (neg.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))) (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (neg.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) sinTheta_i)) (neg.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32))))))) sinTheta_i)))) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_O)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_O)))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_O)) (/ sinTheta_i v))))
(neg.f32 (*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32))))) sinTheta_O) (/.f32 sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_O)) (/ sinTheta_i v))))
(neg.f32 (*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) sinTheta_i) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32))))))) sinTheta_i)) sinTheta_O) (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))))) sinTheta_O) (/.f32 sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_i)))) (* sinTheta_O sinTheta_i)) (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_i)) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_O)) (/ sinTheta_i v))))
(neg.f32 (*.f32 sinTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) sinTheta_i) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32))))))) sinTheta_i))) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) sinTheta_i) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32))))))) sinTheta_i))) sinTheta_O) (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))))) sinTheta_O) (/.f32 sinTheta_i v))))
(/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))
(+ (* sinTheta_i (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(fma.f32 sinTheta_i (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_i (- (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(fma.f32 sinTheta_i (-.f32 (fma.f32 sinTheta_i (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 sinTheta_O (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O)) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))) (neg.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_i (- (+ (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* sinTheta_i (- (+ (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (/ (pow sinTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))))))) (* -1 (/ (* sinTheta_O (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
(fma.f32 sinTheta_i (-.f32 (fma.f32 sinTheta_i (fma.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 sinTheta_O (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (*.f32 sinTheta_O (fma.f32 #s(literal -2 binary32) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_O)) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))) (neg.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) sinTheta_O) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (/ 1 (* sinTheta_i v)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
(*.f32 sinTheta_i (+.f32 (neg.f32 (/.f32 sinTheta_O v)) (-.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_i)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_i))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (/ 1 (* sinTheta_i v))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))))
(*.f32 sinTheta_i (-.f32 (+.f32 (neg.f32 (/.f32 sinTheta_O v)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_i)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_i))))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 2 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_O))) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 3))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) (* sinTheta_O (pow sinTheta_i 2)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))))
(*.f32 sinTheta_i (+.f32 (neg.f32 (/.f32 sinTheta_O v)) (-.f32 (+.f32 (neg.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) sinTheta_i) (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (neg.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) sinTheta_O)) (neg.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32))))))) sinTheta_O)))) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_i)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_i)))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_i)) (/ sinTheta_O v))))
(neg.f32 (*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32))))) sinTheta_i) (/.f32 sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_i)) (/ sinTheta_O v))))
(neg.f32 (*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) sinTheta_O) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32))))))) sinTheta_O)) sinTheta_i) (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))))) sinTheta_i) (/.f32 sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_O)))) (* sinTheta_O sinTheta_i)) (/ (* v (pow (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) 2)) sinTheta_O)) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v)))) sinTheta_i)) (/ sinTheta_O v))))
(neg.f32 (*.f32 sinTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) sinTheta_O) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32))))))) sinTheta_O))) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))) sinTheta_O) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32))))))) sinTheta_O))) sinTheta_i) (-.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))))) sinTheta_i) (/.f32 sinTheta_O v))))
(/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))
(/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))
(+ (* cosTheta_O (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(fma.f32 cosTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_i (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))) (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))
(+ (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_O (- (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(fma.f32 cosTheta_O (-.f32 (fma.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_i (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (*.f32 cosTheta_i (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))) (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))
(+ (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (- (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (pow cosTheta_i 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_i (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(fma.f32 cosTheta_O (-.f32 (fma.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_i (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_i (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (*.f32 cosTheta_i (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))) (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (/ cosTheta_i v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ (log (* 2 v)) cosTheta_O)))))
(*.f32 cosTheta_O (-.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) (+.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)))) (+.f32 (+.f32 (/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (*.f32 v cosTheta_O)) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) cosTheta_O))))
(* cosTheta_O (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* (pow cosTheta_O 2) cosTheta_i))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i)))))))
(*.f32 cosTheta_O (-.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O))) (fma.f32 v (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_O))) (/.f32 cosTheta_i v))) (+.f32 (+.f32 (/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (*.f32 v cosTheta_O)) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_O))) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) cosTheta_O)))))
(* cosTheta_O (- (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)))) (* (pow cosTheta_O 3) cosTheta_i))) (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_O)) (+ (/ 1 (* cosTheta_O v)) (+ (/ cosTheta_i v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* (pow cosTheta_O 2) cosTheta_i)))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i)))))))
(*.f32 cosTheta_O (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))) (-.f32 (/.f32 (*.f32 v (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))))) cosTheta_i))) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (-.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O))) (fma.f32 v (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_O))) (/.f32 cosTheta_i v))) (+.f32 (+.f32 (/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (*.f32 v cosTheta_O)) (/.f32 #s(literal 6931/10000 binary32) cosTheta_O)) (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_O))) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) cosTheta_O))))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))) cosTheta_O) (/.f32 (neg.f32 cosTheta_i) v)))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_i))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))) cosTheta_O)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
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(/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))
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(+ (* cosTheta_i (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
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(+ (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_i (- (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(fma.f32 cosTheta_i (-.f32 (fma.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (*.f32 cosTheta_O (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))) (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))
(+ (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (- (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (pow cosTheta_O 2) (* (pow v 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (* v (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))))) (/ (* cosTheta_O (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
(fma.f32 cosTheta_i (-.f32 (fma.f32 cosTheta_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (*.f32 cosTheta_O (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))))) (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (/ cosTheta_O v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ (log (* 2 v)) cosTheta_i)))))
(*.f32 cosTheta_i (-.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) cosTheta_i) (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i)))) (+.f32 (+.f32 (/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (*.f32 v cosTheta_i)) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) cosTheta_i))))
(* cosTheta_i (- (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* cosTheta_O (pow cosTheta_i 2)))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2))))))))
(*.f32 cosTheta_i (-.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i))) (fma.f32 v (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) (/.f32 cosTheta_O v))) (+.f32 (+.f32 (/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (*.f32 v cosTheta_i)) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) cosTheta_i)))))
(* cosTheta_i (- (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)))) (* cosTheta_O (pow cosTheta_i 3)))) (+ (* 2 (/ (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) cosTheta_i)) (+ (/ 1 (* cosTheta_i v)) (+ (/ cosTheta_O v) (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) (* cosTheta_O (pow cosTheta_i 2))))))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2))))))))
(*.f32 cosTheta_i (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 v (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))) (-.f32 (/.f32 (*.f32 v (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)))) cosTheta_O) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))))) cosTheta_O))) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))))) (-.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i))) (fma.f32 v (/.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) (/.f32 cosTheta_O v))) (+.f32 (+.f32 (/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (*.f32 v cosTheta_i)) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (fma.f32 v (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) (-.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) cosTheta_i))))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))))) cosTheta_i) (/.f32 (neg.f32 cosTheta_O) v)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* v (* (- (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O)) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O cosTheta_i))) (* -1 (/ (* v (pow (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v)) 2)) cosTheta_O))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) (- (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v)) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))) cosTheta_i)) (+ (* 2 (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))) (/ 1 v))) (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
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(/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))
(+ (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (/ (* sinTheta_O (* sinTheta_i (log (* 2 v)))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))))
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(+ (* sinTheta_O (- (/ (* sinTheta_O (* (pow sinTheta_i 2) (log (* 2 v)))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* -1 (/ (* sinTheta_i (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
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(+ (* sinTheta_O (- (* sinTheta_O (- (/ (* sinTheta_O (* (pow sinTheta_i 3) (log (* 2 v)))) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 4))) (* -1 (/ (* (pow sinTheta_i 2) (log (* 2 v))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3)))))) (* -1 (/ (* sinTheta_i (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
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(* -1 (/ (* v (log (* 2 v))) (* sinTheta_O sinTheta_i)))
(neg.f32 (*.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (*.f32 sinTheta_O sinTheta_i))))
(/ (+ (* -1 (/ (* v (log (* 2 v))) sinTheta_i)) (* -1 (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(neg.f32 (/.f32 (fma.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 v v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) sinTheta_O))
(/ (- (+ (* -1 (/ (* v (log (* 2 v))) sinTheta_i)) (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O)
(/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 v (*.f32 v v)) (log.f32 (*.f32 v #s(literal 2 binary32)))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))) (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 v v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) sinTheta_O)
(/ (- (+ (* -1 (/ (* v (log (* 2 v))) sinTheta_i)) (* -1 (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* (pow sinTheta_O 3) (pow sinTheta_i 4))))) (+ (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2))) (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) sinTheta_O)
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(* -1 (/ (* v (log (* 2 v))) (* sinTheta_O sinTheta_i)))
(neg.f32 (*.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (*.f32 sinTheta_O sinTheta_i))))
(* -1 (/ (+ (/ (* v (log (* 2 v))) sinTheta_i) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2)))) sinTheta_O))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* sinTheta_O (pow sinTheta_i 3)))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_i 2))) sinTheta_O)) (/ (* v (log (* 2 v))) sinTheta_i)) sinTheta_O))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* sinTheta_O (pow sinTheta_i 4))) (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (pow sinTheta_i 3)))) sinTheta_O)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_i 2))) sinTheta_O)) (/ (* v (log (* 2 v))) sinTheta_i)) sinTheta_O))
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(/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))
(+ (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (/ (* sinTheta_O (* sinTheta_i (log (* 2 v)))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))))
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(+ (* sinTheta_i (- (/ (* (pow sinTheta_O 2) (* sinTheta_i (log (* 2 v)))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* -1 (/ (* sinTheta_O (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
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(+ (* sinTheta_i (- (* sinTheta_i (- (/ (* (pow sinTheta_O 3) (* sinTheta_i (log (* 2 v)))) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 4))) (* -1 (/ (* (pow sinTheta_O 2) (log (* 2 v))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3)))))) (* -1 (/ (* sinTheta_O (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2)))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))
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(* -1 (/ (* v (log (* 2 v))) (* sinTheta_O sinTheta_i)))
(neg.f32 (*.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (*.f32 sinTheta_O sinTheta_i))))
(/ (+ (* -1 (/ (* v (log (* 2 v))) sinTheta_O)) (* -1 (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(neg.f32 (/.f32 (fma.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 v v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))) sinTheta_i))
(/ (- (+ (* -1 (/ (* v (log (* 2 v))) sinTheta_O)) (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i)
(/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 v (*.f32 v v)) (log.f32 (*.f32 v #s(literal 2 binary32)))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))) (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 v v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))))) sinTheta_i)
(/ (- (+ (* -1 (/ (* v (log (* 2 v))) sinTheta_O)) (* -1 (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* (pow sinTheta_O 4) (pow sinTheta_i 3))))) (+ (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i)) (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) sinTheta_i)
(/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_O) (/.f32 (*.f32 (*.f32 (pow.f32 v #s(literal 4 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))) (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (pow.f32 sinTheta_O #s(literal 4 binary32))))) (neg.f32 (fma.f32 (*.f32 v v) (/.f32 (*.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) (/.f32 (*.f32 (*.f32 (*.f32 v (*.f32 v v)) (log.f32 (*.f32 v #s(literal 2 binary32)))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))))) sinTheta_i)
(* -1 (/ (* v (log (* 2 v))) (* sinTheta_O sinTheta_i)))
(neg.f32 (*.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (*.f32 sinTheta_O sinTheta_i))))
(* -1 (/ (+ (/ (* v (log (* 2 v))) sinTheta_O) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i))) sinTheta_i))
(neg.f32 (/.f32 (fma.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) sinTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 v v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (* (pow sinTheta_O 3) sinTheta_i))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_O 2))) sinTheta_i)) (/ (* v (log (* 2 v))) sinTheta_O)) sinTheta_i))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 3))) (* (pow sinTheta_O 4) sinTheta_i)) (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) 2))) (pow sinTheta_O 3)))) sinTheta_i)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow sinTheta_O 2))) sinTheta_i)) (/ (* v (log (* 2 v))) sinTheta_O)) sinTheta_i))
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(/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))
(/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (log (* 2 v)))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2)))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
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(+ (* cosTheta_O (- (/ (* cosTheta_O (* (pow cosTheta_i 2) (log (* 2 v)))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (/ (* cosTheta_i (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
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(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (/ (* cosTheta_O (* (pow cosTheta_i 3) (log (* 2 v)))) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 4)))) (* -1 (/ (* (pow cosTheta_i 2) (log (* 2 v))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3)))))) (/ (* cosTheta_i (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
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(/ (* v (log (* 2 v))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (*.f32 cosTheta_O cosTheta_i)))
(/ (+ (* -1 (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2)))) (/ (* v (log (* 2 v))) cosTheta_i)) cosTheta_O)
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(/ (- (+ (/ (* v (log (* 2 v))) cosTheta_i) (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O)
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(/ (- (+ (* -1 (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* (pow cosTheta_O 3) (pow cosTheta_i 4)))) (/ (* v (log (* 2 v))) cosTheta_i)) (+ (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O)
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(/ (* v (log (* 2 v))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (*.f32 cosTheta_O cosTheta_i)))
(* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_i)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* cosTheta_O (pow cosTheta_i 2)))) cosTheta_O))
(neg.f32 (/.f32 (fma.f32 (*.f32 v v) (/.f32 (*.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) (neg.f32 (/.f32 (*.f32 v (log.f32 (*.f32 v #s(literal 2 binary32)))) cosTheta_i))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_i)) (* -1 (/ (- (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* cosTheta_O (pow cosTheta_i 3))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
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(* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_i)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* cosTheta_O (pow cosTheta_i 4))) (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (pow cosTheta_i 3))) cosTheta_O)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_i 2))) cosTheta_O))) cosTheta_O))
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(/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))
(/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (log (* 2 v)))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2)))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
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(+ (* cosTheta_i (- (/ (* (pow cosTheta_O 2) (* cosTheta_i (log (* 2 v)))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (/ (* cosTheta_O (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
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(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (/ (* (pow cosTheta_O 3) (* cosTheta_i (log (* 2 v)))) (* (pow v 3) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 4)))) (* -1 (/ (* (pow cosTheta_O 2) (log (* 2 v))) (* (pow v 2) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3)))))) (/ (* cosTheta_O (log (* 2 v))) (* v (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))))) (/ (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))))
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(/ (* v (log (* 2 v))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (*.f32 cosTheta_O cosTheta_i)))
(/ (+ (* -1 (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i))) (/ (* v (log (* 2 v))) cosTheta_O)) cosTheta_i)
(/.f32 (fma.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) cosTheta_O) (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 v v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_O))))) cosTheta_i)
(/ (- (+ (/ (* v (log (* 2 v))) cosTheta_O) (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i)
(/.f32 (fma.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) cosTheta_O) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 v (*.f32 v v)) (log.f32 (*.f32 v #s(literal 2 binary32)))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (*.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (/.f32 (*.f32 (*.f32 (*.f32 v v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_O))))) cosTheta_i)
(/ (- (+ (* -1 (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* (pow cosTheta_O 4) (pow cosTheta_i 3)))) (/ (* v (log (* 2 v))) cosTheta_O)) (+ (* -1 (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 3) (pow cosTheta_i 2)))) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i)))) cosTheta_i)
(/.f32 (-.f32 (fma.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) cosTheta_O) (neg.f32 (/.f32 (*.f32 (*.f32 (pow.f32 v #s(literal 4 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))) (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (pow.f32 cosTheta_O #s(literal 4 binary32)))))) (fma.f32 (*.f32 v v) (/.f32 (*.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_O))) (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 v (*.f32 v v)) (log.f32 (*.f32 v #s(literal 2 binary32)))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (*.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))))))) cosTheta_i)
(/ (* v (log (* 2 v))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (*.f32 cosTheta_O cosTheta_i)))
(* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_O)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (* (pow cosTheta_O 2) cosTheta_i))) cosTheta_i))
(neg.f32 (/.f32 (fma.f32 (*.f32 v v) (/.f32 (*.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_O))) (neg.f32 (/.f32 (*.f32 v (log.f32 (*.f32 v #s(literal 2 binary32)))) cosTheta_O))) cosTheta_i))
(* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_O)) (* -1 (/ (- (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (* (pow cosTheta_O 3) cosTheta_i)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
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(* -1 (/ (+ (* -1 (/ (* v (log (* 2 v))) cosTheta_O)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow v 4) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 3))) (* (pow cosTheta_O 4) cosTheta_i)) (/ (* (pow v 3) (* (log (* 2 v)) (pow (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) 2))) (pow cosTheta_O 3))) cosTheta_i)) (/ (* (pow v 2) (* (log (* 2 v)) (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)))) (pow cosTheta_O 2))) cosTheta_i))) cosTheta_i))
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(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1) v)
(/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)
(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 2) (log v)))))) 1) v)
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(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 2) (log v)))))) 1) v)
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(/ (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 2) (log v)))))) 1) v)
(/.f32 (+.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (-.f32 (fma.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 2 binary32))) (log.f32 v)) (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32))) v)
(+ 6931/10000 (+ (log 2) (* -1 (log (/ 1 v)))))
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(- (+ 6931/10000 (+ (log 2) (+ (* -1 (log (/ 1 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
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(- (+ 6931/10000 (+ (log 2) (+ (* -1 (log (/ 1 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
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(- (+ 6931/10000 (+ (log 2) (+ (* -1 (log (/ 1 v))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))))) (/ 1 v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))) (/ 1 (* sinTheta_O v))))
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(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))) (/ 1 (* sinTheta_O v))))
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(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (* 2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))) (/ 1 (* sinTheta_O v))))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))) (/ 1 (* sinTheta_i v))))
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(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))) (/ 1 (* sinTheta_i v))))
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(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (* 2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))) (/ 1 (* sinTheta_i v))))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
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(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
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(- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
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(/ (* cosTheta_O cosTheta_i) v)
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(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (* 2 v)) cosTheta_O)))) (/ 1 (* cosTheta_O v))))
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(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (* 2 v)) cosTheta_O)))) (/ 1 (* cosTheta_O v))))
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(* cosTheta_O (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (* 2 v)) cosTheta_O)))) (/ 1 (* cosTheta_O v))))
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_O)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_O)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_O)))))
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(- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v))
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(- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
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(- (+ 6931/10000 (+ (log (* 2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 #s(literal 1 binary32) v)))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (* 2 v)) cosTheta_i)))) (/ 1 (* cosTheta_i v))))
(*.f32 cosTheta_i (+.f32 (/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (*.f32 v cosTheta_i)) (-.f32 (+.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) cosTheta_i)) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i)))))
(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (* 2 v)) cosTheta_i)))) (/ 1 (* cosTheta_i v))))
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(* cosTheta_i (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (* 2 v)) cosTheta_i)))) (/ 1 (* cosTheta_i v))))
(*.f32 cosTheta_i (+.f32 (/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (*.f32 v cosTheta_i)) (-.f32 (+.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 6931/10000 binary32) cosTheta_i)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) cosTheta_i)) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i)))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (/.f32 (neg.f32 cosTheta_O) v)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (/.f32 (neg.f32 cosTheta_O) v)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (+ (log (* 2 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (/ 1 v)) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (/.f32 (neg.f32 cosTheta_O) v)))

eval254.0ms (1.7%)

Memory
17.3MiB live, 638.0MiB allocated
Compiler

Compiled 134 872 to 5 410 computations (96% saved)

prune201.0ms (1.4%)

Memory
35.1MiB live, 595.7MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1 55681 564
Fresh235
Picked325
Done101
Total1 562131 575
Accuracy
100.0%
Counts
1 575 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.1%
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
▶99.4%
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
99.1%
(/.f32 (pow.f32 (exp.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))) (pow.f32 (*.f32 v #s(literal 2 binary32)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))))
▶99.9%
(/.f32 (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) v)
▶99.1%
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) v)
45.6%
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)))))) v)
▶99.4%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
✓99.9%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
99.2%
(/.f32 (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))))
99.4%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
99.9%
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))
99.4%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓6.3%
#s(literal 1 binary32)
Compiler

Compiled 661 to 365 computations (44.8% saved)

simplify172.0ms (1.2%)

Memory
-32.4MiB live, 367.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
✓cost-diff0
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) v)
✓cost-diff608
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
✓cost-diff3456
(/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
✓cost-diff0
(/.f32 #s(literal -1 binary32) v)
✓cost-diff0
(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓cost-diff0
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
✓cost-diff0
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
✓cost-diff0
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
✓cost-diff0
(E.f32)
✓cost-diff0
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓cost-diff0
(/.f32 cosTheta_i v)
✓cost-diff0
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
✓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 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) v)
✓cost-diff3456
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
Rules
2 730×accelerator-lowering-fma.f32
2 730×accelerator-lowering-fma.f64
2 690×*-lowering-*.f32
2 690×*-lowering-*.f64
1 888×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036226
163226
298224
3167224
4287214
5537214
61030214
73019214
84909214
08111205
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (* (exp 6931/10000) 1/2) (exp (/ 1 v))) v)
(/ (* (exp 6931/10000) 1/2) (exp (/ 1 v)))
(* (exp 6931/10000) 1/2)
(exp 6931/10000)
6931/10000
1/2
(exp (/ 1 v))
(/ 1 v)
1
v
(+ (* cosTheta_O (/ cosTheta_i v)) 1)
cosTheta_O
(/ cosTheta_i v)
cosTheta_i
v
1
(pow (E) (/ (+ (* cosTheta_O cosTheta_i) -1) v))
(E)
(/ (+ (* cosTheta_O cosTheta_i) -1) v)
(+ (* cosTheta_O cosTheta_i) -1)
cosTheta_O
cosTheta_i
-1
v
(/ (* 1/2 (exp (/ -1 v))) v)
(* 1/2 (exp (/ -1 v)))
1/2
(exp (/ -1 v))
(/ -1 v)
-1
v
(/ (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))))) v)
(* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v))))))
1/2
(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))))
(exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))
(/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))
48038761/100000000
(+ 6931/10000 (/ 1 v))
6931/10000
(/ 1 v)
1
v
(exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v))))
(/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))
(/ 1 (* v v))
(* v v)
Outputs
(/ (/ (* (exp 6931/10000) 1/2) (exp (/ 1 v))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/ (* (exp 6931/10000) 1/2) (exp (/ 1 v)))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(* (exp 6931/10000) 1/2)
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
6931/10000
#s(literal 6931/10000 binary32)
1/2
#s(literal 1/2 binary32)
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
v
(+ (* cosTheta_O (/ cosTheta_i v)) 1)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
cosTheta_O
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
v
1
#s(literal 1 binary32)
(pow (E) (/ (+ (* cosTheta_O cosTheta_i) -1) v))
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(E)
(E.f32)
(/ (+ (* cosTheta_O cosTheta_i) -1) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
(+ (* cosTheta_O cosTheta_i) -1)
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
cosTheta_O
cosTheta_i
-1
#s(literal -1 binary32)
v
(/ (* 1/2 (exp (/ -1 v))) v)
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(* 1/2 (exp (/ -1 v)))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
1/2
#s(literal 1/2 binary32)
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)
v
(/ (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))))) v)
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 v (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) #s(literal 0 binary32))) (/.f32 #s(literal -48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v))))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (fma.f32 v (fma.f32 v #s(literal -6931/10000 binary32) #s(literal -1 binary32)) #s(literal 0 binary32))))))
1/2
#s(literal 1/2 binary32)
(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))))
(exp.f32 (+.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (fma.f32 v (fma.f32 v #s(literal -6931/10000 binary32) #s(literal -1 binary32)) #s(literal 0 binary32)))))
(exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))
(exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))
(/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
48038761/100000000
#s(literal 48038761/100000000 binary32)
(+ 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
v
(exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v))))
(exp.f32 (/.f32 #s(literal 1 binary32) (fma.f32 v (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) #s(literal 0 binary32))))
(/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))
(/.f32 #s(literal 1 binary32) (fma.f32 v (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) #s(literal 0 binary32)))
(/ 1 (* v v))
(/.f32 #s(literal 1 binary32) (fma.f32 v v #s(literal 0 binary32)))
(* v v)
(fma.f32 v v #s(literal 0 binary32))

localize123.0ms (0.8%)

Memory
8.6MiB live, 285.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
✓accuracy99.6%
(/.f32 #s(literal 1 binary32) (*.f32 v v))
✓accuracy98.4%
(/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
✓accuracy52.4%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
✓accuracy100.0%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
✓accuracy100.0%
(/.f32 #s(literal -1 binary32) v)
✓accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓accuracy99.9%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓accuracy100.0%
(fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))
✓accuracy100.0%
(E.f32)
✓accuracy100.0%
(/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)
✓accuracy99.9%
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
✓accuracy100.0%
(/.f32 cosTheta_i v)
✓accuracy99.8%
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
✓accuracy100.0%
(exp.f32 #s(literal 6931/10000 binary32))
✓accuracy100.0%
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
✓accuracy100.0%
(/.f32 (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) v)
✓accuracy99.9%
(exp.f32 (/.f32 #s(literal 1 binary32) v))
Samples
75.0ms256×0valid
Compiler

Compiled 227 to 40 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 21.0ms (36.8% of total)
ival-exp: 10.0ms (17.5% of total)
ival-mult: 8.0ms (14% of total)
const: 8.0ms (14% of total)
ival-pow: 5.0ms (8.8% of total)
ival-add: 3.0ms (5.3% of total)
ival-e: 2.0ms (3.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.1%)

Memory
9.1MiB live, 47.4MiB allocated
Counts
22 → 324
Calls
Call 1
Inputs
#<alt (/ (* (exp 6931/10000) 1/2) (exp (/ 1 v)))>
#<alt (/ (/ (* (exp 6931/10000) 1/2) (exp (/ 1 v))) v)>
#<alt (* (exp 6931/10000) 1/2)>
#<alt (exp 6931/10000)>
#<alt (+ (* cosTheta_O (/ cosTheta_i v)) 1)>
#<alt (/ cosTheta_i v)>
#<alt (pow (E) (/ (+ (* cosTheta_O cosTheta_i) -1) v))>
#<alt (E)>
#<alt (/ (+ (* cosTheta_O cosTheta_i) -1) v)>
#<alt (+ (* cosTheta_O cosTheta_i) -1)>
#<alt (/ (* 1/2 (exp (/ -1 v))) v)>
#<alt (* 1/2 (exp (/ -1 v)))>
#<alt (exp (/ -1 v))>
#<alt (/ -1 v)>
#<alt (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))))>
#<alt (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))>
#<alt (/ (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))))) v)>
#<alt (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v))))))>
#<alt (exp (/ 1 v))>
#<alt (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))>
#<alt (/ 1 (* v v))>
#<alt (+ 6931/10000 (/ 1 v))>
Outputs
#<alt (* 1/2 (/ (exp 6931/10000) (exp (/ 1 v))))>
#<alt (* 1/2 (/ (exp 6931/10000) (exp (/ 1 v))))>
#<alt (* 1/2 (/ (exp 6931/10000) (exp (/ 1 v))))>
#<alt (* 1/2 (/ (exp 6931/10000) (exp (/ 1 v))))>
#<alt (* 1/2 (exp 6931/10000))>
#<alt (+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000)))>
#<alt (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/2 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))) (pow v 2))) (* 1/2 (exp 6931/10000))))>
#<alt (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/2 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000)))) (+ (* -1/2 (exp 6931/10000)) (* 1/6 (exp 6931/10000)))) (pow v 3))) (* 1/2 (exp 6931/10000)))))>
#<alt (* 1/2 (exp 6931/10000))>
#<alt (+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))) v))) v)) (* 1/2 (exp 6931/10000)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000)))) (* 1/2 (/ (+ (exp 6931/10000) (+ (* -1 (exp 6931/10000)) (* -1/6 (exp 6931/10000)))) v))) v)) (* 1/2 (exp 6931/10000))) v)) (* 1/2 (exp 6931/10000)))>
#<alt (* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v)))))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (/ (+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v)>
#<alt (/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/2 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)>
#<alt (/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/2 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000)))) (+ (* -1/2 (exp 6931/10000)) (* 1/6 (exp 6931/10000)))) (pow v 3))) (* 1/2 (exp 6931/10000))))) v)>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))) v))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (exp 6931/10000) (+ (* -1 (exp 6931/10000)) (* -1/6 (exp 6931/10000)))) v)) (* 1/2 (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))))) v)) (* -1/2 (exp 6931/10000))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt 1>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
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#<alt 6931/10000>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (+ 6931/10000 (* -1 (/ (- 1 (* 10000/6931 (/ 1 v))) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* -1 (/ (- 10000/6931 (* 100000000/48038761 (/ 1 v))) v))) v)))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 (pow v 2))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 6931/10000 v)) v)>
#<alt (/ (+ 1 (* 6931/10000 v)) v)>
#<alt (/ (+ 1 (* 6931/10000 v)) v)>
#<alt 6931/10000>
#<alt (+ 6931/10000 (/ 1 v))>
#<alt (+ 6931/10000 (/ 1 v))>
#<alt (+ 6931/10000 (/ 1 v))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (/ 1 v))>
#<alt (+ 6931/10000 (/ 1 v))>
#<alt (+ 6931/10000 (/ 1 v))>
Calls

81 calls:

TimeVariablePointExpression
3.0ms
v
@-inf
(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))))
1.0ms
cosTheta_O
@0
(pow (E) (/ (+ (* cosTheta_O cosTheta_i) -1) v))
1.0ms
v
@0
(/ (* (exp 6931/10000) 1/2) (exp (/ 1 v)))
1.0ms
v
@0
(/ (/ (* (exp 6931/10000) 1/2) (exp (/ 1 v))) v)
1.0ms
v
@0
(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))))

rewrite328.0ms (2.2%)

Memory
-26.9MiB live, 706.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 660×accelerator-lowering-fma.f32
4 660×accelerator-lowering-fma.f64
3 932×*-lowering-*.f32
3 932×*-lowering-*.f64
3 802×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036151
1192132
21383128
08534124
Stop Event
1×iter limit
1×node limit
Counts
22 → 877
Calls
Call 1
Inputs
(/ (* (exp 6931/10000) 1/2) (exp (/ 1 v)))
(/ (/ (* (exp 6931/10000) 1/2) (exp (/ 1 v))) v)
(* (exp 6931/10000) 1/2)
(exp 6931/10000)
(+ (* cosTheta_O (/ cosTheta_i v)) 1)
(/ cosTheta_i v)
(pow (E) (/ (+ (* cosTheta_O cosTheta_i) -1) v))
(E)
(/ (+ (* cosTheta_O cosTheta_i) -1) v)
(+ (* cosTheta_O cosTheta_i) -1)
(/ (* 1/2 (exp (/ -1 v))) v)
(* 1/2 (exp (/ -1 v)))
(exp (/ -1 v))
(/ -1 v)
(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))))
(/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))
(/ (* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v)))))) v)
(* 1/2 (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (exp (/ (/ 1 (* v v)) (+ 6931/10000 (/ 1 v))))))
(exp (/ 1 v))
(/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))
(/ 1 (* v v))
(+ 6931/10000 (/ 1 v))
Outputs
(neg.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) #s(literal -1 binary32)))
(pow.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))) (*.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) #s(literal 1/2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))))
(/.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) #s(literal 1/2 binary32)) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))) (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) #s(literal 1/2 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)))
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)))
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))) #s(literal 1/2 binary32)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))))
(*.f32 #s(literal -1/2 binary32) (neg.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))))
(*.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))))
(*.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal -1 binary32)) (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) #s(literal -1/2 binary32)))
(neg.f32 (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)) v))
(exp.f32 (*.f32 (log.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (*.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)) v))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 v)) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32)) v))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (neg.f32 (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (*.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (neg.f32 (neg.f32 (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (neg.f32 (*.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (neg.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (*.f32 v #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (neg.f32 v))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (*.f32 v #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (neg.f32 v)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)) (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) v) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)) (*.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))) (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))) (neg.f32 v)) (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) v)))
(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (neg.f32 v)))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (*.f32 v #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/2 binary32)) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) v))
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(neg.f32 (/.f32 #s(literal -48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
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(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32))
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(fma.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)) #s(literal 6931/10000 binary32))
(fma.f32 (pow.f32 (*.f32 v v) #s(literal -1/4 binary32)) (pow.f32 (*.f32 v v) #s(literal -1/4 binary32)) #s(literal 6931/10000 binary32))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 0 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal -6931/10000 binary32)))
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(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(-.f32 (/.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) #s(literal 1 binary32)))
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(*.f32 (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -1 binary32) (*.f32 v v)))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal -48038761/100000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))

simplify431.0ms (2.9%)

Memory
35.3MiB live, 862.0MiB allocated
Algorithm
1×egg-herbie
Rules
11 130×accelerator-lowering-fma.f32
11 130×accelerator-lowering-fma.f64
5 056×*-lowering-*.f32
5 056×*-lowering-*.f64
3 676×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05353274
116263062
245992842
082072637
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(* 1/2 (/ (exp 6931/10000) (exp (/ 1 v))))
(* 1/2 (/ (exp 6931/10000) (exp (/ 1 v))))
(* 1/2 (/ (exp 6931/10000) (exp (/ 1 v))))
(* 1/2 (/ (exp 6931/10000) (exp (/ 1 v))))
(* 1/2 (exp 6931/10000))
(+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000)))
(+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/2 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))) (pow v 2))) (* 1/2 (exp 6931/10000))))
(+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/2 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000)))) (+ (* -1/2 (exp 6931/10000)) (* 1/6 (exp 6931/10000)))) (pow v 3))) (* 1/2 (exp 6931/10000)))))
(* 1/2 (exp 6931/10000))
(+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000)))
(+ (* -1 (/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))) v))) v)) (* 1/2 (exp 6931/10000)))
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(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 (pow v 2))
(/ 1 v)
(/ (+ 1 (* 6931/10000 v)) v)
(/ (+ 1 (* 6931/10000 v)) v)
(/ (+ 1 (* 6931/10000 v)) v)
6931/10000
(+ 6931/10000 (/ 1 v))
(+ 6931/10000 (/ 1 v))
(+ 6931/10000 (/ 1 v))
6931/10000
(+ 6931/10000 (/ 1 v))
(+ 6931/10000 (/ 1 v))
(+ 6931/10000 (/ 1 v))
Outputs
(* 1/2 (/ (exp 6931/10000) (exp (/ 1 v))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (/ (exp 6931/10000) (exp (/ 1 v))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (/ (exp 6931/10000) (exp (/ 1 v))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (/ (exp 6931/10000) (exp (/ 1 v))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (exp 6931/10000))
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000)))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) v)))
(+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/2 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))) (pow v 2))) (* 1/2 (exp 6931/10000))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) v)) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/2 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000)))) (+ (* -1/2 (exp 6931/10000)) (* 1/6 (exp 6931/10000)))) (pow v 3))) (* 1/2 (exp 6931/10000)))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/6 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 v (*.f32 v v)))))
(* 1/2 (exp 6931/10000))
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000)))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) v)))
(+ (* -1 (/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))) v))) v)) (* 1/2 (exp 6931/10000)))
(fma.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) v))) v))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000)))) (* 1/2 (/ (+ (exp 6931/10000) (+ (* -1 (exp 6931/10000)) (* -1/6 (exp 6931/10000)))) v))) v)) (* 1/2 (exp 6931/10000))) v)) (* 1/2 (exp 6931/10000)))
(fma.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/6 binary32) #s(literal 0 binary32)) v) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/4 binary32))) (neg.f32 v))) (neg.f32 v)))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v)))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v)))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v)))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (/ (exp 6931/10000) (* v (exp (/ 1 v)))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (/ (exp 6931/10000) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (* 1/2 (exp 6931/10000))) v)
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) v))) v)
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/2 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) v)) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) v)
(/ (+ (* -1/2 (/ (exp 6931/10000) v)) (+ (* -1/2 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))) (pow v 2))) (+ (* -1/2 (/ (+ (* -1 (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000)))) (+ (* -1/2 (exp 6931/10000)) (* 1/6 (exp 6931/10000)))) (pow v 3))) (* 1/2 (exp 6931/10000))))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) v))) (fma.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/6 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 v (*.f32 v v))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (exp 6931/10000) v))) v))
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) v))) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))) v))) v)) (* -1/2 (exp 6931/10000))) v))
(/.f32 (fma.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) v))) v)) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (exp 6931/10000) (+ (* -1 (exp 6931/10000)) (* -1/6 (exp 6931/10000)))) v)) (* 1/2 (+ (* -1 (exp 6931/10000)) (* 1/2 (exp 6931/10000))))) v)) (* -1/2 (exp 6931/10000))) v)) (* -1/2 (exp 6931/10000))) v))
(/.f32 (fma.f32 (exp.f32 #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)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/6 binary32) #s(literal 0 binary32)) v) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal -1/4 binary32))) v)) (neg.f32 v))) (neg.f32 v))
1
#s(literal 1 binary32)
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (/ 1 cosTheta_i) (/ cosTheta_O v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(* cosTheta_i (+ (/ 1 cosTheta_i) (/ cosTheta_O v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(* cosTheta_i (+ (/ 1 cosTheta_i) (/ cosTheta_O v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (- (* -1 (/ cosTheta_O v)) (/ 1 cosTheta_i))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(* -1 (* cosTheta_i (- (* -1 (/ cosTheta_O v)) (/ 1 cosTheta_i))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(* -1 (* cosTheta_i (- (* -1 (/ cosTheta_O v)) (/ 1 cosTheta_i))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (+ v (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i v) v)
(/ (+ v (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i v) v)
(/ (+ v (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i v) v)
1
#s(literal 1 binary32)
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(exp (* -1 (/ (log (E)) v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(+ (exp (* -1 (/ (log (E)) v))) (/ (* cosTheta_O (* cosTheta_i (* (exp (* -1 (/ (log (E)) v))) (log (E))))) v))
(fma.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_i v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (exp (* -1 (/ (log (E)) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (* (exp (* -1 (/ (log (E)) v))) (pow (log (E)) 2)))) (pow v 2))) (/ (* cosTheta_i (* (exp (* -1 (/ (log (E)) v))) (log (E)))) v))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_i)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 v v))) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_i v))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (exp (* -1 (/ (log (E)) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (* (exp (* -1 (/ (log (E)) v))) (pow (log (E)) 3)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (* (exp (* -1 (/ (log (E)) v))) (pow (log (E)) 2))) (pow v 2))))) (/ (* cosTheta_i (* (exp (* -1 (/ (log (E)) v))) (log (E)))) v))))
(fma.f32 cosTheta_O (fma.f32 cosTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v)) (*.f32 (*.f32 #s(literal 1/6 binary32) cosTheta_O) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))) (*.f32 v (*.f32 v v))))) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_i v))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (* -1 (/ (log (E)) v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(+ (exp (* -1 (/ (log (E)) v))) (/ (* cosTheta_O (* cosTheta_i (* (exp (* -1 (/ (log (E)) v))) (log (E))))) v))
(fma.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_i v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (exp (* -1 (/ (log (E)) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (* (exp (* -1 (/ (log (E)) v))) (pow (log (E)) 2)))) (pow v 2))) (/ (* cosTheta_O (* (exp (* -1 (/ (log (E)) v))) (log (E)))) v))))
(fma.f32 cosTheta_i (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_i (*.f32 v v))) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (exp (* -1 (/ (log (E)) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (* (exp (* -1 (/ (log (E)) v))) (pow (log (E)) 3)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (* (exp (* -1 (/ (log (E)) v))) (pow (log (E)) 2))) (pow v 2))))) (/ (* cosTheta_O (* (exp (* -1 (/ (log (E)) v))) (log (E)))) v))))
(fma.f32 cosTheta_i (fma.f32 cosTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v (*.f32 v v)))) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp (/ (* (log (E)) (- (* cosTheta_O cosTheta_i) 1)) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
1
#s(literal 1 binary32)
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(* 1/2 (exp 6931/10000))
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(* 1/2 (exp 6931/10000))
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(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
(+ 1 (/ 1 v))
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(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
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(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
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(* 48038761/100000000 v)
(*.f32 v #s(literal 48038761/100000000 binary32))
(* v (+ 48038761/100000000 (* -332956652491/1000000000000 v)))
(*.f32 v (fma.f32 v #s(literal -332956652491/1000000000000 binary32) #s(literal 48038761/100000000 binary32)))
(* v (+ 48038761/100000000 (* v (- (* 2307722558415121/10000000000000000 v) 332956652491/1000000000000))))
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(* v (+ 48038761/100000000 (* v (- (* v (+ 2307722558415121/10000000000000000 (* -15994825052375203651/100000000000000000000 v))) 332956652491/1000000000000))))
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6931/10000
#s(literal 6931/10000 binary32)
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (/ 10000/6931 (pow v 2))) (/ 1 v))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (/.f32 #s(literal 10000/6931 binary32) v) #s(literal -1 binary32)) #s(literal 6931/10000 binary32))
(- (+ 6931/10000 (/ 10000/6931 (pow v 2))) (+ (/ 1 v) (* 100000000/48038761 (/ 1 (pow v 3)))))
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6931/10000
#s(literal 6931/10000 binary32)
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(/ 1 (pow v 2))
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(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
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(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
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(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
(/ 1 (pow v 2))
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(/ 1 (pow v 2))
(/.f32 #s(literal 1 binary32) (*.f32 v v))
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(/ 1 v)
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(/.f32 (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)) v)
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6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (/ 1 v))
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(+ 6931/10000 (/ 1 v))
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6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(+ 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
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(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))

eval116.0ms (0.8%)

Memory
13.9MiB live, 250.1MiB allocated
Compiler

Compiled 22 934 to 3 126 computations (86.4% saved)

prune183.0ms (1.2%)

Memory
-5.8MiB live, 274.3MiB allocated
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New1 25361 259
Fresh156
Picked325
Done022
Total1 257151 272
Accuracy
100.0%
Counts
1 272 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓6.1%
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
99.4%
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
99.9%
(/.f32 (fma.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (*.f32 v (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32))))) (*.f32 (/.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)))))) (fma.f32 v #s(literal -4351410491404879/40000000000000000 binary32) #s(literal 48038761/200000000 binary32)))) v)
99.9%
(/.f32 (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
99.9%
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
37.7%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
99.4%
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))) v)
45.6%
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)))))) v)
✓99.4%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
✓99.9%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
99.2%
(/.f32 (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))))
99.4%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
99.9%
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))
99.4%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
✓6.3%
#s(literal 1 binary32)
Compiler

Compiled 1 174 to 416 computations (64.6% saved)

regimes112.0ms (0.8%)

Memory
-17.7MiB live, 98.1MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(/.f32 (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) v)
(/.f32 (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) v)))) 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 (fma.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (*.f32 v (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32))))) (*.f32 (/.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)))))) (fma.f32 v #s(literal -4351410491404879/40000000000000000 binary32) #s(literal 48038761/200000000 binary32)))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 48038761/100000000 binary32)))))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v))))) (exp.f32 (/.f32 (/.f32 (*.f32 (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) #s(literal -1 binary32))) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (neg.f32 v)))))))
(/.f32 (exp.f32 (+.f32 (neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32)))) (/.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/.f32 (exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))) (pow.f32 (*.f32 v #s(literal 2 binary32)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))))
(/.f32 (pow.f32 (exp.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v)) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))) (pow.f32 (*.f32 v #s(literal 2 binary32)) (/.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))))
(/.f32 (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))))
(/.f32 (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 sinTheta_O (neg.f32 sinTheta_i) (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) v))))) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (*.f32 sinTheta_O (neg.f32 sinTheta_i))) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))) (exp.f32 (*.f32 v (fma.f32 v (fma.f32 v (*.f32 #s(literal -1 binary32) (fma.f32 v (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32))) (pow.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) #s(literal 4 binary32))) (neg.f32 (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32))) (*.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (*.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))))))) (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32)))) (pow.f32 (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32))) (*.f32 (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))))) (/.f32 (pow.f32 (+.f32 (log.f32 v) (log.f32 #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 (neg.f32 sinTheta_O) sinTheta_i (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32))))))))
Outputs
(/.f32 (fma.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (*.f32 v (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32))))) (*.f32 (/.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)))))) (fma.f32 v #s(literal -4351410491404879/40000000000000000 binary32) #s(literal 48038761/200000000 binary32)))) v)
Calls

9 calls:

24.0ms
(*.f32 cosTheta_i cosTheta_O)
17.0ms
cosTheta_i
15.0ms
sinTheta_O
10.0ms
(+.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))))
9.0ms
cosTheta_O
Results
AccuracySegmentsBranch
99.9%1cosTheta_i
99.9%1cosTheta_O
99.9%1sinTheta_i
99.9%1sinTheta_O
99.9%1v
99.9%1(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
99.9%1(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
99.9%1(*.f32 cosTheta_i cosTheta_O)
99.9%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes107.0ms (0.7%)

Memory
6.3MiB live, 89.6MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))))
(/.f32 (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) v)
(/.f32 (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (E.f32) (*.f32 (E.f32) (E.f32))) (*.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) v)))) 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)))))
Outputs
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
Calls

9 calls:

29.0ms
(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)))))
28.0ms
sinTheta_i
7.0ms
cosTheta_i
7.0ms
cosTheta_O
7.0ms
sinTheta_O
Results
AccuracySegmentsBranch
99.9%1cosTheta_i
99.9%1cosTheta_O
99.9%1sinTheta_i
99.9%1sinTheta_O
99.9%1v
99.9%1(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
99.9%1(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
99.9%1(*.f32 cosTheta_i cosTheta_O)
99.9%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes77.0ms (0.5%)

Memory
-0.4MiB live, 74.4MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (*.f32 (fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v)))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(exp.f32 (+.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v) (-.f32 #s(literal 6931/10000 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))))
Outputs
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
Calls

9 calls:

27.0ms
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
11.0ms
cosTheta_i
6.0ms
sinTheta_i
6.0ms
sinTheta_O
6.0ms
cosTheta_O
Results
AccuracySegmentsBranch
99.9%1cosTheta_i
99.9%1cosTheta_O
99.9%1sinTheta_i
99.9%1sinTheta_O
99.9%1v
99.9%1(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
99.9%1(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
99.9%1(*.f32 cosTheta_i cosTheta_O)
99.9%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes64.0ms (0.4%)

Memory
-7.0MiB live, 75.9MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))) v)
Outputs
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))) v)
Calls

9 calls:

22.0ms
cosTheta_i
10.0ms
v
5.0ms
cosTheta_O
5.0ms
sinTheta_O
5.0ms
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
Results
AccuracySegmentsBranch
99.4%1cosTheta_i
99.4%1cosTheta_O
99.4%1sinTheta_i
99.4%1sinTheta_O
99.4%1v
99.4%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)))))
99.4%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))))
99.4%1(*.f32 cosTheta_i cosTheta_O)
99.4%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes67.0ms (0.5%)

Memory
17.3MiB live, 95.7MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
Outputs
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
Calls

9 calls:

22.0ms
cosTheta_O
12.0ms
(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)))))
5.0ms
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
5.0ms
sinTheta_i
4.0ms
sinTheta_O
Results
AccuracySegmentsBranch
99.4%1cosTheta_i
99.4%1cosTheta_O
99.4%1sinTheta_i
99.4%1sinTheta_O
99.4%1v
99.4%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)))))
99.4%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))))
99.4%1(*.f32 cosTheta_i cosTheta_O)
99.4%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes48.0ms (0.3%)

Memory
19.3MiB live, 58.4MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i (fma.f32 sinTheta_O (neg.f32 sinTheta_i) #s(literal -1 binary32))) v))
Outputs
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
Calls

9 calls:

15.0ms
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
4.0ms
sinTheta_O
4.0ms
cosTheta_O
4.0ms
sinTheta_i
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
99.4%1cosTheta_i
99.4%1cosTheta_O
99.4%1sinTheta_i
99.4%1sinTheta_O
99.4%1v
99.4%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)))))
99.4%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))))
99.4%1(*.f32 cosTheta_i cosTheta_O)
99.4%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes49.0ms (0.3%)

Memory
-41.2MiB live, 32.3MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(pow.f32 (E.f32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v))
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
Outputs
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
Calls

9 calls:

21.0ms
(*.f32 sinTheta_i sinTheta_O)
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))))
3.0ms
sinTheta_O
3.0ms
cosTheta_O
3.0ms
cosTheta_i
Results
AccuracySegmentsBranch
99.4%1cosTheta_i
99.4%1cosTheta_O
99.4%1sinTheta_i
99.4%1sinTheta_O
99.4%1v
99.4%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)))))
99.4%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))))
99.4%1(*.f32 cosTheta_i cosTheta_O)
99.4%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes30.0ms (0.2%)

Memory
-12.5MiB live, 26.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
Outputs
(exp.f32 (/.f32 #s(literal -1 binary32) v))
Calls

9 calls:

12.0ms
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
2.0ms
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
2.0ms
sinTheta_i
2.0ms
v
2.0ms
cosTheta_i
Results
AccuracySegmentsBranch
99.4%1cosTheta_i
99.4%1cosTheta_O
99.4%1sinTheta_i
99.4%1sinTheta_O
99.4%1v
99.4%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)))))
99.4%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))))
99.4%1(*.f32 cosTheta_i cosTheta_O)
99.4%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes29.0ms (0.2%)

Memory
-5.0MiB live, 33.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) #s(literal 1 binary32))
Outputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
Calls

9 calls:

14.0ms
sinTheta_i
2.0ms
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
2.0ms
cosTheta_O
2.0ms
v
2.0ms
cosTheta_i
Results
AccuracySegmentsBranch
37.7%1cosTheta_i
37.7%1cosTheta_O
37.7%1sinTheta_i
37.7%1sinTheta_O
37.7%1v
37.7%1(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
37.7%1(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
37.7%1(*.f32 cosTheta_i cosTheta_O)
37.7%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes12.0ms (0.1%)

Memory
25.6MiB live, 25.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

9 calls:

2.0ms
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
1.0ms
(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)))))
1.0ms
cosTheta_O
1.0ms
v
1.0ms
sinTheta_O
Results
AccuracySegmentsBranch
6.3%1cosTheta_i
6.3%1sinTheta_O
6.3%1v
6.3%1(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
6.3%1(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
6.3%1(*.f32 cosTheta_i cosTheta_O)
6.3%1(*.f32 sinTheta_i sinTheta_O)
6.3%1sinTheta_i
6.3%1cosTheta_O
Compiler

Compiled 105 to 78 computations (25.7% saved)

simplify52.0ms (0.4%)

Memory
-24.1MiB live, 14.5MiB allocated
Algorithm
1×egg-herbie
Rules
22×*-commutative_binary32
8×sub-neg_binary32
8×+-commutative_binary32
6×neg-sub0_binary32
6×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04491
15991
26691
37291
48091
58191
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 (fma.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (*.f32 v (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32))))) (*.f32 (/.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)))))) (fma.f32 v #s(literal -4351410491404879/40000000000000000 binary32) #s(literal 48038761/200000000 binary32)))) v)
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
#s(literal 1 binary32)
Outputs
(/.f32 (fma.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (*.f32 v (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32))))) (*.f32 (/.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (fma.f32 #s(literal 6931/10000 binary32) v #s(literal 1 binary32)))))) (fma.f32 v #s(literal -4351410491404879/40000000000000000 binary32) #s(literal 48038761/200000000 binary32)))) v)
(/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) #s(literal 1/2 binary32)) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i #s(literal -1 binary32)) v)))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
#s(literal 1 binary32)

soundness1.5s (10.2%)

Memory
50.1MiB live, 1 303.0MiB allocated
Rules
12 124×accelerator-lowering-fma.f32
12 124×accelerator-lowering-fma.f64
11 130×accelerator-lowering-fma.f32
11 130×accelerator-lowering-fma.f64
6 508×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0234657180
0800255052
036282
1208270
22021228
08578215
036151
1192132
21383128
08534124
0253255573
1769455572
0835453266
05353274
116263062
245992842
082072637
03415408
111025126
239194741
082904516
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 479 to 361 computations (24.6% saved)

preprocess56.0ms (0.4%)

Memory
1.7MiB live, 157.7MiB allocated
Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 660 to 398 computations (39.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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