HairBSDF, Mp, lower

Time bar (total: 16.8s)

analyze760.0ms (4.5%)

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 69 to 43 computations (37.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 438.0ms
ival-<=: 117.0ms (26.7% of total)
...c/correct-round.rkt:119:19: 97.0ms (22.1% of total)
ival-sub: 50.0ms (11.4% of total)
ival-mult: 43.0ms (9.8% of total)
ival-div: 41.0ms (9.4% of total)
ival-add: 23.0ms (5.3% of total)
ival-and: 22.0ms (5% of total)
ival-exp: 21.0ms (4.8% of total)
ival-log: 20.0ms (4.6% of total)
const: 4.0ms (0.9% of total)
backward-pass: 1.0ms (0.2% of total)

sample3.3s (19.7%)

Results
2.6s8256×0valid
45.0ms150×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
...c/correct-round.rkt:119:19: 446.0ms (22.5% of total)
ival-<=: 394.0ms (19.9% of total)
ival-div: 341.0ms (17.2% of total)
ival-mult: 194.0ms (9.8% of total)
ival-add: 152.0ms (7.7% of total)
ival-log: 135.0ms (6.8% of total)
ival-sub: 108.0ms (5.5% of total)
ival-and: 95.0ms (4.8% of total)
ival-exp: 93.0ms (4.7% of total)
const: 18.0ms (0.9% of total)
backward-pass: 4.0ms (0.2% of total)
Bogosity

preprocess299.0ms (1.8%)

Algorithm
2×egg-herbie
Rules
2134×*-lowering-*.f32
2134×*-lowering-*.f64
1878×sum3-define
1746×fnmsub-define
1272×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0164462
1501408
21578399
37275399
02121
15319
215019
360819
4274119
5792319
0839619
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)))))
(/.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v #s(literal 2 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 (+ (fmsub cosTheta_i (/ cosTheta_O v) (fma sinTheta_i (/ sinTheta_O v) (recip 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 (fnmsub cosTheta_i (/ cosTheta_O v) (+ (fma sinTheta_i (/ sinTheta_O v) (recip v)) -6931/10000))))
(exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (exp (fnmsub cosTheta_i (/ cosTheta_O v) (+ (fma sinTheta_i (/ sinTheta_O v) (recip v)) -6931/10000))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (exp (+ 6931/10000 (fma cosTheta_i (/ cosTheta_O v) (fmsub sinTheta_i (/ sinTheta_O v) (recip 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 (+ 6931/10000 (fma cosTheta_i (/ cosTheta_O v) (fmsub sinTheta_i (/ sinTheta_O v) (recip 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 (sum4 (recip v) (fnmadd cosTheta_i (/ cosTheta_O v) (* sinTheta_i (/ sinTheta_O v))) 6931/10000 (log (/ -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 (fnmsub cosTheta_i (/ cosTheta_O v) (+ (fma sinTheta_i (/ sinTheta_O v) (recip v)) -6931/10000))))
(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 (fnmsub cosTheta_i (/ cosTheta_O v) (+ (fma sinTheta_i (/ sinTheta_O v) (recip v)) -6931/10000))))
(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 (+ 6931/10000 (fma cosTheta_i (/ cosTheta_O v) (fmsub sinTheta_i (/ sinTheta_O v) (recip 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 (+ 6931/10000 (fma cosTheta_i (/ cosTheta_O v) (fmsub sinTheta_i (/ sinTheta_O v) (recip 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 (+ 6931/10000 (fnmadd cosTheta_i (/ cosTheta_O v) (fma sinTheta_i (/ sinTheta_O v) (recip 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 (+ (fmsub cosTheta_i (/ cosTheta_O v) (fma sinTheta_i (/ sinTheta_O v) (recip 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 (sum3 (* cosTheta_O (/ sinTheta_i v)) (fnmsub cosTheta_i (/ sinTheta_O v) (recip v)) 6931/10000)))
(exp (+ (+ (- (- (/ (* sinTheta_O cosTheta_O) v) (/ (* sinTheta_i cosTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(exp (sum4 6931/10000 (log (/ 1/2 v)) (* sinTheta_O (/ cosTheta_O v)) (fnmsub cosTheta_i (/ sinTheta_i v) (recip v))))
(exp (+ (+ (- (- (/ (* v cosTheta_O) cosTheta_i) (/ (* sinTheta_i sinTheta_O) cosTheta_i)) (/ 1 cosTheta_i)) 6931/10000) (log (/ 1 (* 2 cosTheta_i)))))
(* (exp (+ 6931/10000 (fmsub cosTheta_O (/ v cosTheta_i) (fma sinTheta_O (/ sinTheta_i cosTheta_i) (recip 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 (sum3 (* sinTheta_i (/ cosTheta_i v)) (fnmsub cosTheta_O (/ sinTheta_O v) (recip 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 (sum3 (* cosTheta_i (/ sinTheta_O v)) (fnmsub cosTheta_O (/ sinTheta_i v) (recip v)) 6931/10000)))
(exp (+ (+ (- (- (/ (* cosTheta_i v) cosTheta_O) (/ (* sinTheta_i sinTheta_O) cosTheta_O)) (/ 1 cosTheta_O)) 6931/10000) (log (/ 1 (* 2 cosTheta_O)))))
(* (exp (+ 6931/10000 (fma cosTheta_i (/ v cosTheta_O) (fnmsub sinTheta_i (/ sinTheta_O cosTheta_O) (recip cosTheta_O))))) (/ 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 (+ (fmsub cosTheta_i (/ cosTheta_O v) (fma sinTheta_i (/ sinTheta_O v) (recip 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 (sum3 (/ (* cosTheta_i cosTheta_O) sinTheta_i) (fnmsub v (/ sinTheta_O sinTheta_i) (recip 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 (sum4 6931/10000 (log (/ 1/2 sinTheta_O)) (* cosTheta_i (/ cosTheta_O sinTheta_O)) (fnmsub v (/ sinTheta_i sinTheta_O) (recip sinTheta_O))))
Symmetry

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain314.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
990-33(-5.160107684787363e-5 1.6046002893861313e-16 -7.414556372745313e-16 -6.930639460809755e-29 2.8333041424177696e-38)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
783(-3.441733738945491e-21 2.698534397135983e-34 -1.2864748448715984e-19 3.8727129337659234e-25 2.9289132230658765e-10)26(-1.0122899851622881e-18 7.441550637939287e-27 -1.0095339774333364e-36 5.1765289889963085e-21 1.6052865037366183e-23)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
13(-4.0440073708542336e-32 -1.0866190427392827e-35 -4.7313442238224097e-29 9.862335794764195e-15 0.0037473924458026886)1(-0.053351324051618576 -7.95980855885013e-38 2.7298614757587103e-12 4.9161940296471585e-8 0.01238631084561348)(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)))))
10-0-(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
00-0-cosTheta_O
00-0-(-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v))
00-0-(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
00-0-#s(literal 6931/10000 binary32)
00-0-(*.f32 cosTheta_i cosTheta_O)
00-0-#s(literal 1 binary32)
00-0-(*.f32 sinTheta_i sinTheta_O)
00-0-(*.f32 #s(literal 2 binary32) v)
00-0-sinTheta_O
00-0-(+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
00-0-v
00-0-cosTheta_i
00-0-sinTheta_i
00-0-(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
00-0-#s(literal 2 binary32)
00-0-(/.f32 #s(literal 1 binary32) v)
00-0-(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
Results
202.0ms512×0valid
Compiler

Compiled 308 to 65 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-div: 39.0ms (47.1% of total)
ival-mult: 11.0ms (13.3% of total)
ival-log: 8.0ms (9.7% of total)
...c/correct-round.rkt:119:19: 8.0ms (9.7% of total)
ival-add: 6.0ms (7.2% of total)
ival-sub: 5.0ms (6% of total)
ival-exp: 4.0ms (4.8% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 27 to 19 computations (29.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v #s(literal 2 binary32)))
▶99.3%
(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 57 to 40 computations (29.8% saved)

simplify220.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓cost-diff0
(+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓cost-diff0
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓cost-diff0
(/.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v #s(literal 2 binary32)))
✓cost-diff0
(+.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))
✓cost-diff0
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
✓cost-diff3200
(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
2116×*-lowering-*.f32
2116×*-lowering-*.f64
1378×+-lowering-+.f64
1378×+-lowering-+.f32
1372×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031210
183202
2249201
3967201
43926201
08135201
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
(/ (exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))) (* v 2))
(exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v))))
(+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))
(- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v))
(* cosTheta_O (/ cosTheta_i v))
cosTheta_O
(/ cosTheta_i v)
cosTheta_i
v
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(+ 6931/10000 (/ -1 v))
6931/10000
(/ -1 v)
-1
(* v 2)
2
Outputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
(+.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/ (* cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(/ (* sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(* 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)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/ 1 (* 2 v))
(/.f32 #s(literal 1/2 binary32) v)
(* 2 v)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)
(/ (exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))) (* v 2))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v))))
(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(* cosTheta_O (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cosTheta_O
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
v
(/ (* sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(+ 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 2)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)

localize363.0ms (2.2%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓accuracy99.7%
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓accuracy99.3%
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓accuracy73.7%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy99.7%
(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)))))
✓accuracy99.6%
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
✓accuracy80.3%
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓accuracy73.7%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
Results
265.0ms256×0valid
Compiler

Compiled 242 to 32 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 200.0ms
ival-mult: 87.0ms (43.5% of total)
ival-add: 51.0ms (25.5% of total)
ival-log: 34.0ms (17% of total)
ival-div: 15.0ms (7.5% of total)
...c/correct-round.rkt:119:19: 5.0ms (2.5% of total)
ival-exp: 4.0ms (2% of total)
ival-sub: 4.0ms (2% of total)
const: 1.0ms (0.5% of total)
backward-pass: 0.0ms (0% of total)

series168.0ms (1%)

Counts
12 → 552
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 (/ 1 (* 2 v))>
#<alt (+ (+ (- (- (/ (* 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)) 6931/10000)>
#<alt (/ (exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))) (* v 2))>
#<alt (exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v))))>
#<alt (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))>
#<alt (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v))>
#<alt (/ (* sinTheta_i sinTheta_O) v)>
#<alt (/ (* cosTheta_i cosTheta_O) v)>
#<alt (log (/ 1 (* 2 v)))>
#<alt (* cosTheta_O (/ cosTheta_i 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 (/ 1/2 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 (- (+ 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)))))>
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#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 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 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* 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 (/ (- (* 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 (/ (* 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 (+ (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 (/ (* 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)>
Calls

138 calls:

TimeVariablePointExpression
32.0ms
v
@0
(log (/ 1 (* 2 v)))
31.0ms
cosTheta_i
@0
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
18.0ms
v
@-inf
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
15.0ms
sinTheta_i
@0
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
9.0ms
v
@-inf
(log (/ 1 (* 2 v)))

rewrite417.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
3202×fma-lowering-fma.f32
3202×fma-lowering-fma.f64
2298×*-lowering-*.f32
2298×*-lowering-*.f64
1720×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031131
1226117
22368117
08228117
Stop Event
1×iter limit
1×node limit
Counts
12 → 669
Calls
Call 1
Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(/ 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)
(/ (exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))) (* v 2))
(exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v))))
(+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))
(- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v))
(/ (* sinTheta_i sinTheta_O) v)
(/ (* cosTheta_i cosTheta_O) v)
(log (/ 1 (* 2 v)))
(* cosTheta_O (/ cosTheta_i v))
Outputs
(neg.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (*.f32 v #s(literal -2 binary32))))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (*.f32 v #s(literal 2 binary32))))
(exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal -1 binary32)))
(exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -1 binary32)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (*.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))))
(pow.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (+.f32 (*.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))))
(pow.f32 (exp.f32 (-.f32 (*.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (neg.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (*.f32 v #s(literal -2 binary32)))
(/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))
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(/.f32 (+.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 3 binary32))) (+.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) (-.f32 (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(/.f32 (-.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) (pow.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) #s(literal 2 binary32))) (-.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
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(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal -1 binary32) v))
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(pow.f32 (/.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal -1 binary32))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
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(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O))) (/.f32 (/.f32 #s(literal 1 binary32) v) v) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
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(pow.f32 (exp.f32 (+.f32 (/.f32 (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (*.f32 v v) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))))))
(pow.f32 (exp.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
(pow.f32 (exp.f32 (*.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(pow.f32 (exp.f32 (+.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) #s(literal -48038761/100000000 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32))))
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/.f32 (exp.f32 (/.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32)))))
(/.f32 (exp.f32 (/.f32 (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)))
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))))
(*.f32 (exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32)))))
(*.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal -1 binary32) v))
(+.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (/.f32 (+.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (+.f32 #s(literal 332956652491/1000000000000 binary32) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32)) (+.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) #s(literal -48038761/100000000 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))) (+.f32 (/.f32 (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (*.f32 v v) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal -1 binary32))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
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(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O))) (fma.f32 (neg.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O)))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(+.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O))) (fma.f32 (neg.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O)))
(+.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O))) (fma.f32 (neg.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O)))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O))) (fma.f32 (neg.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O)))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(pow.f32 (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 v v) (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))) (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) #s(literal -1 binary32))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O))) (/.f32 (/.f32 #s(literal 1 binary32) v) v) (+.f32 (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O))) (/.f32 (/.f32 #s(literal 1 binary32) v) v) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (+.f32 (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v v)) (/.f32 (*.f32 v (*.f32 sinTheta_i sinTheta_O)) (*.f32 v v)))
(-.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))) (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))))
(-.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (/.f32 (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v v) (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))) (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O))) (*.f32 v v))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v (*.f32 sinTheta_i sinTheta_O))) v) (*.f32 v (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (*.f32 v (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (neg.f32 v)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) v))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (neg.f32 v)) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v)))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) v) (*.f32 (neg.f32 v) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (neg.f32 v) v))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 v (*.f32 sinTheta_i sinTheta_O))) (*.f32 (neg.f32 v) #s(literal 1 binary32))) (*.f32 (neg.f32 v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v)) (*.f32 (neg.f32 v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (neg.f32 v) (neg.f32 v)))
(/.f32 (neg.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O)))) (neg.f32 (*.f32 v v)))
(/.f32 (neg.f32 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (neg.f32 (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))))
(/.f32 (neg.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 (+.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(/.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O))) v) v)
(/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))
(*.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O))) (/.f32 (/.f32 #s(literal 1 binary32) v) v))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))))
(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))
(*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v))
(neg.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) (neg.f32 v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_i sinTheta_O))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) v))
(exp.f32 (*.f32 (log.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 cosTheta_O #s(literal 1 binary32)) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (*.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(neg.f32 (log.f32 (*.f32 v #s(literal 2 binary32))))
(neg.f32 (log.f32 (neg.f32 (*.f32 v #s(literal -2 binary32)))))
(neg.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 0 binary32))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 v #s(literal -2 binary32)))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 #s(literal 0 binary32) (log.f32 v)))
(+.f32 (-.f32 #s(literal 0 binary32) (log.f32 v)) (log.f32 #s(literal 1/2 binary32)))
(+.f32 (log.f32 (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32))) (log.f32 (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 (neg.f32 (*.f32 v #s(literal -2 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (*.f32 v #s(literal -2 binary32))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(-.f32 (-.f32 #s(literal 0 binary32) (log.f32 v)) (log.f32 #s(literal 2 binary32)))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v)))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal 0 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))) (+.f32 #s(literal 0 binary32) (log.f32 (*.f32 v #s(literal 2 binary32)))))
(*.f32 #s(literal -1 binary32) (log.f32 (*.f32 v #s(literal 2 binary32))))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) v))
(exp.f32 (*.f32 (log.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 cosTheta_O #s(literal 1 binary32)) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (*.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))

simplify403.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
6300×*-lowering-*.f32
6300×*-lowering-*.f64
2392×+-lowering-+.f64
2392×+-lowering-+.f32
1864×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05969738
120098662
277788653
083788653
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
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))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) 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)
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(- (+ 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)))))
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(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 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 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
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(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 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 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
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6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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6931/10000
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(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* 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)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 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 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* 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)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 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 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
6931/10000
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 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 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 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 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(+ (log 1/2) (* -1 (log v)))
(+ (log 1/2) (* -1 (log v)))
(+ (log 1/2) (* -1 (log v)))
(+ (log 1/2) (* -1 (log v)))
(+ (log 1/2) (log (/ 1 v)))
(+ (log 1/2) (log (/ 1 v)))
(+ (log 1/2) (log (/ 1 v)))
(+ (log 1/2) (log (/ 1 v)))
(+ (log -1/2) (log (/ -1 v)))
(+ (log -1/2) (log (/ -1 v)))
(+ (log -1/2) (log (/ -1 v)))
(+ (log -1/2) (log (/ -1 v)))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
Outputs
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 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))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_O cosTheta_i)) 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))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_O))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (*.f32 v v)) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (/.f32 cosTheta_O 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))))
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(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i)) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i))))))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 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)))))
(*.f32 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) cosTheta_i)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) cosTheta_i)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) cosTheta_i)) (neg.f32 cosTheta_i))
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #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 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #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 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 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 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 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 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 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 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O))))))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 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 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O)) (neg.f32 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 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O)) (neg.f32 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 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i v)) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O)) (neg.f32 cosTheta_O))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 (*.f32 v (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 (*.f32 v (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 (*.f32 v (-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal 1/2 binary32))) (log.f32 v))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
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(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
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(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
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(- (+ 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 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.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))))
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(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v sinTheta_i)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 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 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_i) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v sinTheta_i)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.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 (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (neg.f32 sinTheta_i))) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
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(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.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))))
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(* 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 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O) (-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_O) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) sinTheta_O) (/.f32 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 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) sinTheta_O) (-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_O) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) sinTheta_O) (/.f32 sinTheta_i v))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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6931/10000
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6931/10000
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(+.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i (+.f32 (*.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v)) (*.f32 cosTheta_i (+.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (*.f32 v (*.f32 v v))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v)))))))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal 6931/10000 binary32))) v))
(+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal 6931/10000 binary32))) v) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v v))))))
(+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (+.f32 (/.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal 6931/10000 binary32))) v) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v v))))) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v (*.f32 v v)))))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (exp.f32 #s(literal 6931/10000 binary32))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (+.f32 (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (exp.f32 #s(literal 6931/10000 binary32)))) v)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))) (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))))) v)) v))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
(-.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) v))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v v)) (*.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 sinTheta_O v)))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(+.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_i (-.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i)))) (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)))))) (*.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 sinTheta_O v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
(-.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) v))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_O (-.f32 (*.f32 (*.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) sinTheta_O)) (*.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 sinTheta_i v)))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(+.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_O (-.f32 (*.f32 sinTheta_O (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_O) (*.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (*.f32 v (*.f32 v v))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v)))))) (*.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 sinTheta_i v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
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(/ (* cosTheta_O cosTheta_i) v)
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6931/10000
#s(literal 6931/10000 binary32)
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6931/10000
#s(literal 6931/10000 binary32)
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))

eval121.0ms (0.7%)

Compiler

Compiled 40711 to 3078 computations (92.4% saved)

prune136.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1268111279
Fresh000
Picked202
Done000
Total1270111281
Accuracy
99.8%
Counts
1281 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.0%
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (*.f32 v #s(literal 2 binary32)))
99.4%
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32))))) (*.f32 v #s(literal 2 binary32)))
▶99.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)
4.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
▶99.7%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
▶99.7%
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
99.3%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
97.5%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
▶11.7%
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
99.3%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
▶14.3%
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
Compiler

Compiled 518 to 338 computations (34.7% saved)

simplify209.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
✓cost-diff0
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)
✓cost-diff0
(/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
✓cost-diff0
(exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
✓cost-diff0
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)
✓cost-diff64
(-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
✓cost-diff0
(*.f32 sinTheta_O sinTheta_i)
✓cost-diff0
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓cost-diff0
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
✓cost-diff32
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓cost-diff0
(/.f32 cosTheta_i v)
✓cost-diff0
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓cost-diff0
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓cost-diff0
(log.f32 (*.f32 v #s(literal 2 binary32)))
✓cost-diff0
(-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
✓cost-diff3200
(exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
Rules
2496×*-lowering-*.f32
2496×*-lowering-*.f64
1806×+-lowering-+.f64
1806×+-lowering-+.f32
1498×sum5-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038340
199317
2235316
3662312
42257311
08225311
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (exp (- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
1
(exp (- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))
(log (* v 2))
(* v 2)
v
2
(+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)
(/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)
(- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1)
(- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
6931/10000
(exp (* cosTheta_O (/ cosTheta_i v)))
(* cosTheta_O (/ cosTheta_i v))
cosTheta_O
(/ cosTheta_i v)
cosTheta_i
v
(exp (- 0 (/ (* sinTheta_O sinTheta_i) v)))
(- 0 (/ (* sinTheta_O sinTheta_i) v))
0
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(/ (* 1/2 (exp (- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)))) v)
(* 1/2 (exp (- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))))
1/2
(exp (- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)))
(- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))
6931/10000
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(/ 1 v)
1
(/ 1 (/ 2 (/ (exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v)))
1
(/ 2 (/ (exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v))
2
(/ (exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v)
(exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))
(+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)
(/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)
(- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1)
(- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
6931/10000
Outputs
(/ 1 (exp (- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))))
1
#s(literal 1 binary32)
(exp (- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))))
(- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))
(+.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v)) #s(literal -6931/10000 binary32))
(log (* v 2))
(log.f32 (*.f32 v #s(literal 2 binary32)))
(* v 2)
(*.f32 v #s(literal 2 binary32))
v
2
#s(literal 2 binary32)
(+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
(/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)
(- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1)
(+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))
(- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
6931/10000
#s(literal 6931/10000 binary32)
(exp (* cosTheta_O (/ cosTheta_i v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(* cosTheta_O (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cosTheta_O
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
v
(exp (- 0 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(- 0 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
0
#s(literal 0 binary32)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
sinTheta_i
v
(/ (* 1/2 (exp (- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)))) v)
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v))) (*.f32 v #s(literal 2 binary32)))
(* 1/2 (exp (- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v))))
1/2
#s(literal 1/2 binary32)
(exp (- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)))
(- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v))
(- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
sinTheta_i
v
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
(/ 1 (/ 2 (/ (exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))))
1
#s(literal 1 binary32)
(/ 2 (/ (exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v))
(/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))))
2
#s(literal 2 binary32)
(/ (exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v)
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v)
(exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))
(+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
(/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)
(- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1)
(+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))
(- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
6931/10000
#s(literal 6931/10000 binary32)

localize218.0ms (1.3%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
✓accuracy99.9%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
✓accuracy99.9%
(+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
✓accuracy99.7%
(exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
✓accuracy100.0%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)
✓accuracy99.8%
(-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
✓accuracy99.7%
(exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))
✓accuracy98.1%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓accuracy100.0%
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓accuracy100.0%
(*.f32 sinTheta_O sinTheta_i)
✓accuracy100.0%
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
✓accuracy98.1%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓accuracy100.0%
(/.f32 cosTheta_i v)
✓accuracy100.0%
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓accuracy99.9%
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓accuracy99.9%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
✓accuracy99.9%
(-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
✓accuracy99.9%
(+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
✓accuracy99.7%
(exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
Results
122.0ms198×0unsamplable
39.0ms58×0valid
Compiler

Compiled 368 to 39 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 14.0ms (24.4% of total)
ival-exp: 11.0ms (19.2% of total)
ival-mult: 11.0ms (19.2% of total)
ival-sub: 8.0ms (14% of total)
ival-log: 4.0ms (7% of total)
...c/correct-round.rkt:119:19: 4.0ms (7% of total)
ival-add: 3.0ms (5.2% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series183.0ms (1.1%)

Counts
21 → 912
Calls
Call 1
Inputs
#<alt (exp (- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)))>
#<alt (/ 1 (exp (- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))))>
#<alt (- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))>
#<alt (log (* v 2))>
#<alt (exp (* cosTheta_O (/ cosTheta_i v)))>
#<alt (* cosTheta_O (/ cosTheta_i v))>
#<alt (/ cosTheta_i v)>
#<alt (- 0 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (- 0 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (/ (* 1/2 (exp (- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)))) v)>
#<alt (* 1/2 (exp (- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))))>
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Outputs
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#<alt (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))>
#<alt (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))>
#<alt (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))>
Calls

228 calls:

TimeVariablePointExpression
38.0ms
v
@0
(log (* v 2))
23.0ms
cosTheta_i
@0
(- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))
9.0ms
v
@-inf
(log (* v 2))
7.0ms
sinTheta_i
@inf
(/ (* 1/2 (exp (- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)))) v)
5.0ms
v
@inf
(log (* v 2))

rewrite670.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
4992×*-lowering-*.f32
4992×*-lowering-*.f64
3306×/-lowering-/.f32
3306×/-lowering-/.f64
2768×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038225
1245207
22163203
010327203
Stop Event
1×iter limit
1×node limit
Counts
21 → 616
Calls
Call 1
Inputs
(exp (- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(/ 1 (exp (- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))
(log (* v 2))
(exp (* cosTheta_O (/ cosTheta_i v)))
(* cosTheta_O (/ cosTheta_i v))
(/ cosTheta_i v)
(- 0 (/ (* sinTheta_O sinTheta_i) v))
(exp (- 0 (/ (* sinTheta_O sinTheta_i) v)))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(/ (* 1/2 (exp (- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)))) v)
(* 1/2 (exp (- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))))
(exp (- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)))
(/ 1 (/ 2 (/ (exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v)))
(/ 2 (/ (exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v))
(/ (exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)) v)
(exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))
(+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)
(- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))
Outputs
(neg.f32 (/.f32 #s(literal -2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v)))
(exp.f32 (+.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)) #s(literal -6931/10000 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (neg.f32 (+.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)) #s(literal -6931/10000 binary32))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (*.f32 (+.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)) #s(literal -6931/10000 binary32)) #s(literal -1 binary32)) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (neg.f32 (+.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)) #s(literal -6931/10000 binary32)))))
(exp.f32 (neg.f32 (*.f32 (+.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)) #s(literal -6931/10000 binary32)) #s(literal -1 binary32))))
(pow.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 3 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 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 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))))
(/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(/.f32 (*.f32 v #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal -2 binary32) (neg.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 #s(literal -2 binary32) (*.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v))))
(/.f32 (/.f32 #s(literal -2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v)) #s(literal -1 binary32))
(/.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (neg.f32 (*.f32 v #s(literal 2 binary32))) (neg.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(/.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))) (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) (+.f32 (pow.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))))
(/.f32 (exp.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 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))) (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
(/.f32 (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)))
(*.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(*.f32 v (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (neg.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
(*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(*.f32 #s(literal 2 binary32) (/.f32 v (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 v (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v))) #s(literal -1 binary32)))
(*.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v))))
(*.f32 (/.f32 v (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) v)
(*.f32 (exp.f32 (neg.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) (*.f32 v #s(literal 2 binary32)))
(*.f32 (exp.f32 (neg.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v))) (exp.f32 #s(literal -6931/10000 binary32)))
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(-.f32 (/.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32))))
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(/.f32 (-.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)))) (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) #s(literal 1 binary32)) (+.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 (*.f32 (*.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))
(*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))
(*.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))))
(*.f32 (*.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))

simplify499.0ms (3%)

Algorithm
1×egg-herbie
Rules
6428×*-lowering-*.f32
6428×*-lowering-*.f64
2878×+-lowering-+.f64
2878×+-lowering-+.f32
1870×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0140718490
1500017028
0826517028
Stop Event
1×iter limit
1×node limit
Counts
912 → 912
Calls
Call 1
Inputs
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v)))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))))
(exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1/2 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_O (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_O (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_i (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))
(- (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))) (+ (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ (* sinTheta_O sinTheta_i) (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (* (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (- (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))))) (pow v 2))) (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))) (+ (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ (* sinTheta_O sinTheta_i) (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))))
(- (+ (* -1 (/ (+ (* -1 (* (+ (* 1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (* (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (- (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) (+ (* 1/6 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (* 1/2 (* (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (- (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))))))) (pow v 3))) (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))) (+ (* 1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))))) (+ (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (+ (/ (* sinTheta_O sinTheta_i) (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ (* (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (- (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))) (pow v 2))))))
(/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))
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(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))
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(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))
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(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/6 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/2 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_i (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1 (/ cosTheta_i (* v (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
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(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/6 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (/ sinTheta_O (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))) (/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
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(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))) v)) (+ (* -1/2 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/6 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))))))) (+ (* -1 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))))) (/ sinTheta_i (* v (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))))) (/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)
(/ (- (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (+ (log 2) (log v)) 6931/10000)))) (* cosTheta_O cosTheta_i)) v)
(/ (- (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (+ (log 2) (log v)) 6931/10000)))) (* cosTheta_O cosTheta_i)) v)
(/ (- (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (+ (log 2) (log v)) 6931/10000)))) (* cosTheta_O cosTheta_i)) v)
(- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))) 6931/10000)
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))) 6931/10000)
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)))) 6931/10000)
(- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (+ (log (* 2 v)) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000)
(- (+ (log (* 2 v)) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000)
(- (+ (log (* 2 v)) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000)
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (+ (/ (log (* 2 v)) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)
(- (+ (log (* 2 v)) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000)
(- (+ (log (* 2 v)) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000)
(- (+ (log (* 2 v)) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 6931/10000)
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (+ (/ (log (* 2 v)) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log (* 2 v)) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log (* 2 v)) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log (* 2 v)) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)))))
(- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
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(- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(/ (* sinTheta_O sinTheta_i) v)
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(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log (* 2 v)) sinTheta_O))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
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(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))
(+ (log 2) (log v))
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1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
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(exp (/ (* cosTheta_O cosTheta_i) v))
1
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(exp (/ (* cosTheta_O cosTheta_i) v))
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1
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1
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(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
1
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(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
1
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(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
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1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
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(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(- 6931/10000 (/ 1 v))
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6931/10000
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6931/10000
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(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
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(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
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(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)
(* 1/2 (/ (exp 6931/10000) v))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- 1 (* -1 (* sinTheta_O sinTheta_i))) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (- 1 (* -1 (* sinTheta_O sinTheta_i))) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (- 1 (* -1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v))
(* 1/2 (exp (- 6931/10000 (/ 1 v))))
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(+ (* 1/2 (exp (- 6931/10000 (/ 1 v)))) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(* 1/2 (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
(* 1/2 (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
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(* 1/2 (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))
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(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
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(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
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(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
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(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) v)
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(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
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(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(* 2 (/ v (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(* 2 (/ v (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
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(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp 6931/10000)
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(exp 6931/10000)
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1 (/ (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v))) v)))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* 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)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 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 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* 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)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 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 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 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 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 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 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
Outputs
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))
(exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (/ (* (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))
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(exp 6931/10000)
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(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
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(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
(-.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) v))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))))) (*.f32 v v)) (/.f32 (*.f32 sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) v))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))) (*.f32 sinTheta_O (-.f32 (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))))) (*.f32 v v)))) (/.f32 (*.f32 sinTheta_i (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))))) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal 6931/10000 binary32))) v))
(+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal 6931/10000 binary32))) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (*.f32 v v))))
(+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (+.f32 (/.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal 6931/10000 binary32))) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (exp.f32 #s(literal 6931/10000 binary32)))) (*.f32 v (*.f32 v v)))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal 6931/10000 binary32))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v) (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal 6931/10000 binary32)))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1 (/ (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (-.f32 #s(literal 0 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (exp.f32 #s(literal 6931/10000 binary32)))) v) (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) v)) v))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 cosTheta_i (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i)) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 cosTheta_i (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i)) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 cosTheta_i (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 cosTheta_O v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i)) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v)) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v)) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v)) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)) (neg.f32 cosTheta_i))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) v))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (neg.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (neg.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (neg.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O))) (neg.f32 cosTheta_O))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(-.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(-.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(-.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #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)) (/ (* 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 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 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 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) sinTheta_i) (/.f32 sinTheta_O v))) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) sinTheta_i) (/.f32 sinTheta_O v))) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) sinTheta_i) (/.f32 sinTheta_O v))) (neg.f32 sinTheta_i))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v)))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(-.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(-.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(-.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #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)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)) (/.f32 sinTheta_i v)))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)) (/.f32 sinTheta_i v)))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v sinTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)) (/.f32 sinTheta_i v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) sinTheta_O) (/.f32 sinTheta_i v))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) sinTheta_O) (/.f32 sinTheta_i v))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1 binary32) v))) sinTheta_O) (/.f32 sinTheta_i v))) (neg.f32 sinTheta_O))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)
6931/10000
#s(literal 6931/10000 binary32)
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
6931/10000
#s(literal 6931/10000 binary32)
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) (neg.f32 cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O)))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O)))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(neg.f32 (*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(neg.f32 (*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(neg.f32 (*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i)) sinTheta_i) sinTheta_O) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i)) sinTheta_i) sinTheta_O) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i)) sinTheta_i) sinTheta_O) (neg.f32 sinTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (neg.f32 sinTheta_O) (neg.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (neg.f32 sinTheta_O) (neg.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (neg.f32 sinTheta_O) (neg.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i)))

eval188.0ms (1.1%)

Compiler

Compiled 49474 to 4355 computations (91.2% saved)

prune167.0ms (1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1784191803
Fresh426
Picked415
Done000
Total1792221814
Accuracy
99.9%
Counts
1814 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)) #s(literal -6931/10000 binary32)))
99.4%
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32))))) (*.f32 v #s(literal 2 binary32)))
96.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))) (exp.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))))) v)
99.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))) v)
99.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
99.4%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32))))) v)))
99.7%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
▶99.7%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (log.f32 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
▶99.7%
(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
11.7%
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
99.7%
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
6.3%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
6.2%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
3.9%
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
▶99.3%
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
14.3%
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
11.7%
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
99.3%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
▶11.7%
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
14.7%
(exp.f32 (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
✓14.3%
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
▶6.5%
#s(literal 1 binary32)
Compiler

Compiled 1043 to 650 computations (37.7% saved)

simplify227.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff32
(-.f32 #s(literal 0 binary32) (log.f32 v))
✓cost-diff32
(+.f32 (-.f32 #s(literal 0 binary32) (log.f32 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (log.f32 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
✓cost-diff3200
(exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (log.f32 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
✓cost-diff0
(/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)
✓cost-diff0
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))
✓cost-diff0
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
✓cost-diff0
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
✓cost-diff0
(/.f32 sinTheta_i v)
✓cost-diff0
(neg.f32 sinTheta_O)
✓cost-diff0
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
✓cost-diff0
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
✓cost-diff0
(-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
✓cost-diff0
(*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
✓cost-diff3200
(exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
Rules
2288×*-lowering-*.f32
2288×*-lowering-*.f64
2164×+-lowering-+.f64
2164×+-lowering-+.f32
1630×--lowering--.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036302
192295
2247292
3736292
42609291
08123291
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (* v (exp (- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))))
1
(* v (exp (- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))))
v
(exp (- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))
(- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))
(log 2)
2
(+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)
(/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)
(- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(+ (* sinTheta_i sinTheta_O) 1)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
6931/10000
1
(exp (* (neg sinTheta_O) (/ sinTheta_i v)))
(* (neg sinTheta_O) (/ sinTheta_i v))
(neg sinTheta_O)
sinTheta_O
(/ sinTheta_i v)
sinTheta_i
v
(* (exp (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))) (/ 1/2 v))
(exp (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))
(- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))
6931/10000
(/ (+ (* sinTheta_i sinTheta_O) 1) v)
(+ (* sinTheta_i sinTheta_O) 1)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
1
v
(/ 1/2 v)
1/2
(/ 1 (/ 2 (exp (+ (- 0 (log v)) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))))
1
(/ 2 (exp (+ (- 0 (log v)) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))))
2
(exp (+ (- 0 (log v)) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))
(+ (- 0 (log v)) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))
(- 0 (log v))
0
(log v)
v
(+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)
(/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)
(- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(+ (* sinTheta_i sinTheta_O) 1)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
6931/10000
Outputs
(/ 1 (* v (exp (- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) (*.f32 v #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(* v (exp (- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))))
(/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v))
v
(exp (- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))
(/.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))))
(- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))
(+.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v) (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal -6931/10000 binary32)))
(log 2)
(log.f32 #s(literal 2 binary32))
2
#s(literal 2 binary32)
(+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
(/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)
(/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)
(- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1))
(+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(+ (* sinTheta_i sinTheta_O) 1)
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
6931/10000
#s(literal 6931/10000 binary32)
1
#s(literal 1 binary32)
(exp (* (neg sinTheta_O) (/ sinTheta_i v)))
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(* (neg sinTheta_O) (/ sinTheta_i v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
(neg sinTheta_O)
(neg.f32 sinTheta_O)
sinTheta_O
(/ sinTheta_i v)
(/.f32 sinTheta_i v)
sinTheta_i
v
(* (exp (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))) (/ 1/2 v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -6931/10000 binary32))))
(exp (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)))
(- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ (+ (* sinTheta_i sinTheta_O) 1) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)
(+ (* sinTheta_i sinTheta_O) 1)
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
1
#s(literal 1 binary32)
v
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
(/ 1 (/ 2 (exp (+ (- 0 (log v)) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) (*.f32 v #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(/ 2 (exp (+ (- 0 (log v)) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))))
(/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v))
2
#s(literal 2 binary32)
(exp (+ (- 0 (log v)) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v)
(+ (- 0 (log v)) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 v) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v)))
(- 0 (log v))
(neg.f32 (log.f32 v))
0
#s(literal 0 binary32)
(log v)
(log.f32 v)
v
(+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v))
(/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v)
(/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)
(- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1))
(+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(+ (* sinTheta_i sinTheta_O) 1)
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
6931/10000
#s(literal 6931/10000 binary32)

localize206.0ms (1.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (log.f32 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
✓accuracy99.9%
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
✓accuracy99.8%
(+.f32 (-.f32 #s(literal 0 binary32) (log.f32 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
✓accuracy99.7%
(exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (log.f32 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
✓accuracy100.0%
(*.f32 sinTheta_i sinTheta_O)
✓accuracy99.9%
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
✓accuracy99.9%
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))
✓accuracy99.7%
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
✓accuracy100.0%
(/.f32 sinTheta_i v)
✓accuracy100.0%
(neg.f32 sinTheta_O)
✓accuracy100.0%
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
✓accuracy99.9%
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
✓accuracy100.0%
(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
✓accuracy99.9%
(-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))
✓accuracy99.9%
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))
✓accuracy99.8%
(exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
Results
115.0ms198×0unsamplable
35.0ms58×0valid
Compiler

Compiled 352 to 37 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 13.0ms (24.9% of total)
ival-exp: 8.0ms (15.3% of total)
ival-mult: 8.0ms (15.3% of total)
ival-log: 7.0ms (13.4% of total)
ival-sub: 5.0ms (9.6% of total)
ival-add: 4.0ms (7.6% of total)
...c/correct-round.rkt:119:19: 4.0ms (7.6% of total)
const: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series171.0ms (1%)

Counts
18 → 768
Calls
Call 1
Inputs
#<alt (exp (- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))>
#<alt (/ 1 (* v (exp (- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))))>
#<alt (* v (exp (- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))))>
#<alt (- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))>
#<alt (exp (* (neg sinTheta_O) (/ sinTheta_i v)))>
#<alt (* (neg sinTheta_O) (/ sinTheta_i v))>
#<alt (neg sinTheta_O)>
#<alt (/ sinTheta_i v)>
#<alt (* (exp (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))) (/ 1/2 v))>
#<alt (exp (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))>
#<alt (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))>
#<alt (/ (+ (* sinTheta_i sinTheta_O) 1) v)>
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Outputs
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#<alt (+ (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))>
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#<alt (+ (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_O (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))>
#<alt (+ (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_O (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))>
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#<alt (exp (- (log 2) 6931/10000))>
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#<alt (+ (exp (- (log 2) 6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (- (log 2) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (- (log 2) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (- (log 2) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))>
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#<alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (log 2) 6931/10000)))) (* (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (- (/ (* cosTheta_O cosTheta_i) (exp (- (log 2) 6931/10000))) (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000))))))) (pow v 2))) (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (* v (exp (- (log 2) 6931/10000)))))) (+ (/ 1 (* v (exp (- (log 2) 6931/10000)))) (/ (* sinTheta_O sinTheta_i) (* v (exp (- (log 2) 6931/10000)))))) v)>
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#<alt (/ 1 (* v (exp (- (log 2) 6931/10000))))>
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#<alt (* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (+ (/ (log 2) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))>
#<alt (* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (+ (/ (log 2) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))>
#<alt (* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (+ (/ (log 2) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))>
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#<alt (* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (+ (/ (log 2) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))>
#<alt (* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (+ (/ (log 2) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))>
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#<alt (* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log 2) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))>
#<alt (* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log 2) sinTheta_i))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))>
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#<alt (* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log 2) sinTheta_O))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))>
#<alt (* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log 2) sinTheta_O))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))>
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#<alt (- (log 2) 6931/10000)>
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#<alt 1>
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#<alt 1>
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#<alt 1>
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#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
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#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
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#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
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#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
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#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
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#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 sinTheta_O)>
#<alt (* -1 sinTheta_O)>
#<alt (* -1 sinTheta_O)>
#<alt (* -1 sinTheta_O)>
#<alt (* -1 sinTheta_O)>
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#<alt (/ sinTheta_i v)>
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#<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))))))))>
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#<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))>
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#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))>
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#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))>
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#<alt (- (+ 6931/10000 (/ (* 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)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 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 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -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)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (+ (* 6931/10000 (/ 1 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 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (* -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)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 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 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt 6931/10000>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 6931/10000>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
Calls

192 calls:

TimeVariablePointExpression
58.0ms
v
@-inf
(- 0 (log v))
14.0ms
v
@0
(- 0 (log v))
7.0ms
v
@inf
(exp (- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))
6.0ms
cosTheta_i
@0
(- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))
5.0ms
v
@inf
(- 0 (log v))

rewrite361.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
3350×/-lowering-/.f32
3350×/-lowering-/.f64
2738×*-lowering-*.f32
2738×*-lowering-*.f64
1830×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036184
1217178
22050163
09636163
Stop Event
1×iter limit
1×node limit
Counts
18 → 555
Calls
Call 1
Inputs
(exp (- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))
(/ 1 (* v (exp (- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))))
(* v (exp (- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))))
(- (log 2) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))
(exp (* (neg sinTheta_O) (/ sinTheta_i v)))
(* (neg sinTheta_O) (/ sinTheta_i v))
(neg sinTheta_O)
(/ sinTheta_i v)
(* (exp (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))) (/ 1/2 v))
(exp (- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))
(- 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))
(/ (+ (* sinTheta_i sinTheta_O) 1) v)
(exp (+ (- 0 (log v)) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))
(/ 1 (/ 2 (exp (+ (- 0 (log v)) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)))))
(+ (- 0 (log v)) (+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000))
(- 0 (log v))
(+ (/ (- (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) 1)) v) 6931/10000)
(* sinTheta_i sinTheta_O)
Outputs
(exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v))))))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v))))
(/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 2 binary32) (neg.f32 (neg.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32))))
(/.f32 #s(literal -2 binary32) (neg.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(/.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)))))) (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)))))))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)))) (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)))))
(/.f32 (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)))
(/.f32 (neg.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)))) (neg.f32 (exp.f32 #s(literal 6931/10000 binary32))))
(*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v))) (exp.f32 #s(literal -6931/10000 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 2 binary32))
(neg.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v))))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) v) #s(literal -1 binary32))
(pow.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) v))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
(/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))) v)))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (/.f32 v (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
(/.f32 (neg.f32 v) (neg.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
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(/.f32 v (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32)))))
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(/.f32 (neg.f32 (+.f32 (/.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (*.f32 v (*.f32 v v))) #s(literal 332956652491/1000000000000 binary32))) (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32)) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))))))
(/.f32 (neg.f32 (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) #s(literal -48038761/100000000 binary32))) (neg.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)))
(/.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (*.f32 v (*.f32 v v))) #s(literal 332956652491/1000000000000 binary32)))) (neg.f32 (neg.f32 (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) (*.f32 v #s(literal 6931/10000 binary32))))))))
(/.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) #s(literal -48038761/100000000 binary32)))) (neg.f32 (neg.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))))) (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v))))
(*.f32 (+.f32 (/.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (*.f32 v (*.f32 v v))) #s(literal 332956652491/1000000000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) (*.f32 v #s(literal 6931/10000 binary32)))))))
(*.f32 (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) #s(literal -48038761/100000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32))))
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_i (*.f32 sinTheta_O #s(literal 1 binary32)))
(*.f32 sinTheta_O sinTheta_i)
(*.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 1 binary32)))
(*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))

simplify445.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
6740×*-lowering-*.f32
6740×*-lowering-*.f64
4172×+-lowering-+.f64
4172×+-lowering-+.f32
1744×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0111316297
1395615028
0876215028
Stop Event
1×iter limit
1×node limit
Counts
768 → 768
Calls
Call 1
Inputs
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(+ (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))
(+ (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(+ (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))
(+ (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(+ (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v))
(+ (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_O (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_O (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(+ (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v))
(+ (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 2))) (/ (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(+ (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) (pow v 2))))) (/ (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (log 2) 6931/10000))
(+ (exp (- (log 2) 6931/10000)) (/ (* (exp (- (log 2) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))
(+ (exp (- (log 2) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (log 2) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (log 2) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v)))
(+ (exp (- (log 2) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (log 2) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (log 2) 6931/10000)) (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (log 2) 6931/10000)) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) v))))
(exp (- (log 2) 6931/10000))
(+ (exp (- (log 2) 6931/10000)) (* -1 (/ (* (exp (- (log 2) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (- (log 2) 6931/10000)) (* -1 (/ (+ (* -1/2 (/ (* (exp (- (log 2) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (- (log 2) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (- (log 2) 6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (- (log 2) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (- (log 2) 6931/10000)) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (- (log 2) 6931/10000)) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)))
(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (* v (exp (- (log 2) 6931/10000))))
(/ (- (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (* v (exp (- (log 2) 6931/10000))))) (+ (/ 1 (* v (exp (- (log 2) 6931/10000)))) (/ (* sinTheta_O sinTheta_i) (* v (exp (- (log 2) 6931/10000)))))) v)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (log 2) 6931/10000)))) (* (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (- (/ (* cosTheta_O cosTheta_i) (exp (- (log 2) 6931/10000))) (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000))))))) (pow v 2))) (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (* v (exp (- (log 2) 6931/10000)))))) (+ (/ 1 (* v (exp (- (log 2) 6931/10000)))) (/ (* sinTheta_O sinTheta_i) (* v (exp (- (log 2) 6931/10000)))))) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ (* 1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (exp (- (log 2) 6931/10000)))) (* (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (- (/ (* cosTheta_O cosTheta_i) (exp (- (log 2) 6931/10000))) (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000))))))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)))) (+ (* 1/6 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 3) (exp (- (log 2) 6931/10000)))) (* 1/2 (* (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (- (/ (* cosTheta_O cosTheta_i) (exp (- (log 2) 6931/10000))) (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000))))))))) (pow v 3))) (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (* v (exp (- (log 2) 6931/10000)))))) (+ (* 1/2 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 2) (* (pow v 2) (exp (- (log 2) 6931/10000))))) (+ (/ 1 (* v (exp (- (log 2) 6931/10000)))) (+ (/ (* sinTheta_O sinTheta_i) (* v (exp (- (log 2) 6931/10000)))) (/ (* (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) (- (/ (* cosTheta_O cosTheta_i) (exp (- (log 2) 6931/10000))) (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000)))))) (pow v 2)))))) v)
(/ 1 (* v (exp (- (log 2) 6931/10000))))
(* -1 (/ (- (+ (/ 1 (* v (exp (- (log 2) 6931/10000)))) (/ (* sinTheta_O sinTheta_i) (* v (exp (- (log 2) 6931/10000))))) (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* cosTheta_O cosTheta_i) (* v (exp (- (log 2) 6931/10000)))))) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp (- (log 2) 6931/10000))))) (* -1 (/ (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp (- (log 2) 6931/10000)))) (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp (- (log 2) 6931/10000)))))) v))) v)) (/ 1 (exp (- (log 2) 6931/10000)))) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp (- (log 2) 6931/10000))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp (- (log 2) 6931/10000)))) (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp (- (log 2) 6931/10000)))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (exp (- (log 2) 6931/10000)))) (* 1/2 (* (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (- (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp (- (log 2) 6931/10000)))))))) v)) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp (- (log 2) 6931/10000)))) (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp (- (log 2) 6931/10000))))))) v))) v)) (/ 1 (exp (- (log 2) 6931/10000)))) v))
(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))
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(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
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(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
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(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))
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(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
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(/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))))
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(* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))
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(* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
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(* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
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(* v (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
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(* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
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(* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
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(* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
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(* -1 (/ (* cosTheta_O cosTheta_i) v))
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(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))
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1
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(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
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(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
1
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1
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1
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 sinTheta_O)
(* -1 sinTheta_O)
(* -1 sinTheta_O)
(* -1 sinTheta_O)
(* -1 sinTheta_O)
(* -1 sinTheta_O)
(* -1 sinTheta_O)
(* -1 sinTheta_O)
(* -1 sinTheta_O)
(* -1 sinTheta_O)
(* -1 sinTheta_O)
(* -1 sinTheta_O)
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(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
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6931/10000
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) cosTheta_O)))))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log v) (/ 1 v))) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log v) (/ 1 v))) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log v) (/ 1 v))) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log v) (/ 1 v)))
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(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (log v) (/ 1 v)))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log v) sinTheta_O)))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (+ (/ sinTheta_i v) (/ (log v) sinTheta_O)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log v) (/ 1 v))) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log v) (/ 1 v))) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log v) (/ 1 v))) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (log v))
(* -1 (log v))
(* -1 (log v))
(* -1 (log v))
(log (/ 1 v))
(log (/ 1 v))
(log (/ 1 v))
(log (/ 1 v))
(* -1 (+ (log -1) (* -1 (log (/ -1 v)))))
(* -1 (+ (log -1) (* -1 (log (/ -1 v)))))
(* -1 (+ (log -1) (* -1 (log (/ -1 v)))))
(* -1 (+ (log -1) (* -1 (log (/ -1 v)))))
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(- (+ 6931/10000 (/ (* 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)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 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 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* 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)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 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 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 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 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 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 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
Outputs
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32))))
(+ (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))
(-.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32)))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32))))) v))
(+ (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32)))) (*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32)))))) (*.f32 v v)) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32)))) cosTheta_O) v))))
(+ (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(+.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32)))) (*.f32 cosTheta_i (-.f32 (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) cosTheta_i) (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32)))))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32)))) (*.f32 cosTheta_O cosTheta_O))) (*.f32 v v)))) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32)))) cosTheta_O) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32))))
(+ (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) v)))
(-.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32)))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32))))) v))
(+ (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 2))))))
(+.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32)))) (*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32)))))) (*.f32 v v)) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32)))) cosTheta_i) v))))
(+ (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))) (pow v 2))))))))
(+.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32)))) (*.f32 cosTheta_O (-.f32 (*.f32 cosTheta_O (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))) (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32)))))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32)))) (*.f32 cosTheta_i cosTheta_i))) (*.f32 v v)))) (/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -6931/10000 binary32)))) cosTheta_i) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 #s(literal 2 binary32) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(+ (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))) v))
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(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (+ (/ (log v) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
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(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (+ (/ (log v) cosTheta_i) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) cosTheta_i)))))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) cosTheta_i)))))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) cosTheta_i)))))
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(- 6931/10000 (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (log.f32 v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (+ (/ (log v) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
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(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (+ (/ (log v) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
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(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (+ (/ (log v) cosTheta_O) (/ (* sinTheta_O sinTheta_i) (* 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 v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) cosTheta_O)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) cosTheta_O)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (log v) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) cosTheta_O)))))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log v) sinTheta_i)))))
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(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log v) sinTheta_i)))))
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(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (+ (/ sinTheta_O v) (/ (log v) sinTheta_i)))))
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(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log v) (/ 1 v))) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
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(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (log v) (/ 1 v))) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
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(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O)))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (-.f32 (/.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (neg.f32 cosTheta_O)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (-.f32 (/.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (neg.f32 cosTheta_O)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (-.f32 (/.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (neg.f32 cosTheta_O)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v)) (/.f32 sinTheta_O v)))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v)) (/.f32 sinTheta_O v)))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v)) (/.f32 sinTheta_O v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (+.f32 (/.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (+.f32 (/.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (+.f32 (/.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v sinTheta_O))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v) (/.f32 sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v sinTheta_O))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v) (/.f32 sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v sinTheta_O))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_O) v) (/.f32 sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 (neg.f32 sinTheta_O) (+.f32 (/.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 (neg.f32 sinTheta_O) (+.f32 (/.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v)))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 (neg.f32 sinTheta_O) (+.f32 (/.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v)))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)
6931/10000
#s(literal 6931/10000 binary32)
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
6931/10000
#s(literal 6931/10000 binary32)
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)

eval179.0ms (1.1%)

Compiler

Compiled 42608 to 3692 computations (91.3% saved)

prune188.0ms (1.1%)

Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New146681474
Fresh31316
Picked325
Done011
Total1472241496
Accuracy
99.9%
Counts
1496 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)) #s(literal -6931/10000 binary32)))
99.4%
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32))))) (*.f32 v #s(literal 2 binary32)))
99.3%
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
96.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))) (exp.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))))) v)
99.4%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32))))) v)))
▶99.7%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
▶99.7%
(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))))))
11.7%
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
99.7%
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
6.3%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
▶6.2%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
3.9%
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
▶99.4%
(*.f32 (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
99.3%
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
99.3%
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
99.7%
(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (log.f32 v)))))
14.3%
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
11.7%
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
99.3%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
✓11.7%
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
11.7%
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v sinTheta_i))))
▶14.7%
(exp.f32 (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
✓14.3%
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓6.5%
#s(literal 1 binary32)
Compiler

Compiled 1129 to 691 computations (38.8% saved)

simplify206.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
✓cost-diff0
(exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))
✓cost-diff0
(*.f32 (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
✓cost-diff3200
(/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))))
✓cost-diff0
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
✓cost-diff0
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)
✓cost-diff0
(/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) v)
✓cost-diff0
(*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O))
✓cost-diff0
(exp.f32 (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
✓cost-diff64
(*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)
✓cost-diff0
(*.f32 cosTheta_O cosTheta_i)
✓cost-diff0
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓cost-diff0
(-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))
✓cost-diff0
(*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))))))
✓cost-diff3200
(exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))))
Rules
4446×*-lowering-*.f32
4446×*-lowering-*.f64
2000×/-lowering-/.f32
2000×/-lowering-/.f64
968×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048404
1111393
2261381
3793355
42459355
08344355
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (* v (exp (- (log 2) (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v))))))
1
(* v (exp (- (log 2) (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v)))))
v
(exp (- (log 2) (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v))))
(- (log 2) (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v)))
(log 2)
2
(+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v))
(- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))
6931/10000
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(/ -1 v)
-1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
1
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(exp (* cosTheta_i (* (/ 1 v) cosTheta_O)))
(* cosTheta_i (* (/ 1 v) cosTheta_O))
cosTheta_i
(* (/ 1 v) cosTheta_O)
(/ 1 v)
1
v
cosTheta_O
(/ 1 (/ 2 (/ (exp (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)) v)))
1
(/ 2 (/ (exp (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)) v))
2
(/ (exp (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)) v)
(exp (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000))
(+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(- (* cosTheta_O cosTheta_i) 1)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
6931/10000
(* (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))) (exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))))) (/ 1/2 v))
(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))) (exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))))
(exp (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))))
(/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))
48038761/100000000
(+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))
6931/10000
(/ (+ (* sinTheta_i sinTheta_O) 1) v)
(+ (* sinTheta_i sinTheta_O) 1)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
1
v
(exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))))
(/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))
(/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1)))
(/ v (+ (* sinTheta_i sinTheta_O) 1))
(/ 1/2 v)
1/2
Outputs
(/ 1 (* v (exp (- (log 2) (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v))))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 v #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(* v (exp (- (log 2) (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v)))))
(/.f32 v (/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
v
(exp (- (log 2) (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v))))
(/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(- (log 2) (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v)))
(+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(log 2)
(log.f32 #s(literal 2 binary32))
2
#s(literal 2 binary32)
(+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v))
(+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
1
#s(literal 1 binary32)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(exp (* cosTheta_i (* (/ 1 v) cosTheta_O)))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(* cosTheta_i (* (/ 1 v) cosTheta_O))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cosTheta_i
(* (/ 1 v) cosTheta_O)
(/.f32 cosTheta_O v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
v
cosTheta_O
(/ 1 (/ 2 (/ (exp (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)) v)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v))) (*.f32 v #s(literal 2 binary32)))
1
#s(literal 1 binary32)
(/ 2 (/ (exp (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)) v))
(/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v))))
2
#s(literal 2 binary32)
(/ (exp (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)) v)
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v))) v)
(exp (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)))
(+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(- (* cosTheta_O cosTheta_i) 1)
(+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
6931/10000
#s(literal 6931/10000 binary32)
(* (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))) (exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))))) (/ 1/2 v))
(*.f32 (exp.f32 (-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (/.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) (/.f32 #s(literal 1/2 binary32) v))
(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))) (exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))))
(exp.f32 (-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (/.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(exp (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))))
(exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))
(/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
48038761/100000000
#s(literal 48038761/100000000 binary32)
(+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ (+ (* sinTheta_i sinTheta_O) 1) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(+ (* sinTheta_i sinTheta_O) 1)
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
1
#s(literal 1 binary32)
v
(exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))))
(exp.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (/.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))
(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (/.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (/.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))
(/ v (+ (* sinTheta_i sinTheta_O) 1))
(/.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)

localize254.0ms (1.5%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))
✓accuracy99.8%
(exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))
✓accuracy99.8%
(/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
✓accuracy99.8%
(/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
✓accuracy100.0%
(/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v))
✓accuracy100.0%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
✓accuracy99.9%
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
✓accuracy99.7%
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
✓accuracy100.0%
(/.f32 #s(literal 1 binary32) v)
✓accuracy100.0%
(exp.f32 (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
✓accuracy99.9%
(*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O))
✓accuracy99.8%
(*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)
✓accuracy100.0%
(*.f32 cosTheta_O cosTheta_i)
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓accuracy98.3%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓accuracy99.9%
(-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))
✓accuracy99.8%
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))
✓accuracy99.8%
(exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))))
✓accuracy98.1%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
Results
136.0ms198×0unsamplable
44.0ms58×0valid
Compiler

Compiled 449 to 49 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-div: 30.0ms (38.4% of total)
ival-mult: 12.0ms (15.4% of total)
...c/correct-round.rkt:119:19: 11.0ms (14.1% of total)
ival-exp: 10.0ms (12.8% of total)
ival-add: 7.0ms (9% of total)
ival-sub: 4.0ms (5.1% of total)
ival-log: 4.0ms (5.1% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series128.0ms (0.8%)

Counts
25 → 852
Calls
Call 1
Inputs
#<alt (exp (- (log 2) (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v))))>
#<alt (/ 1 (* v (exp (- (log 2) (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v))))))>
#<alt (* v (exp (- (log 2) (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v)))))>
#<alt (- (log 2) (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v)))>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* (/ 1 v) cosTheta_O)>
#<alt (exp (* cosTheta_i (* (/ 1 v) cosTheta_O)))>
#<alt (* cosTheta_i (* (/ 1 v) cosTheta_O))>
#<alt (/ 1 v)>
#<alt (/ 1 (/ 2 (/ (exp (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)) v)))>
#<alt (/ 2 (/ (exp (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)) v))>
#<alt (/ (exp (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)) v)>
#<alt (exp (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000))>
#<alt (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))) (exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))))>
#<alt (* (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))) (exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))))) (/ 1/2 v))>
#<alt (exp (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))))>
#<alt (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v))>
#<alt (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)>
#<alt (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))>
#<alt (exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))))>
#<alt (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))>
Outputs
#<alt (exp (- (+ (log 2) (/ 1 v)) 6931/10000))>
#<alt (+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) v))>
#<alt (+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 2))) (/ (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v))))>
#<alt (+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) (pow v 2))))) (/ (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v))))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (/ 1 v)) 6931/10000))>
#<alt (+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) v))>
#<alt (+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 2))) (/ (* sinTheta_O (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v))))>
#<alt (+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) (pow v 2))))) (/ (* sinTheta_O (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v))))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))>
#<alt (exp (- (log 2) 6931/10000))>
#<alt (+ (exp (- (log 2) 6931/10000)) (/ (* (exp (- (log 2) 6931/10000)) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (+ (exp (- (log 2) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (log 2) 6931/10000)) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (log 2) 6931/10000)) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ (exp (- (log 2) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (log 2) 6931/10000)) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (log 2) 6931/10000)) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (log 2) 6931/10000)) (+ 1 (* sinTheta_O sinTheta_i))) v))))>
#<alt (exp (- (log 2) 6931/10000))>
#<alt (+ (exp (- (log 2) 6931/10000)) (* -1 (/ (* (exp (- (log 2) 6931/10000)) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v)))>
#<alt (+ (exp (- (log 2) 6931/10000)) (* -1 (/ (+ (* -1/2 (/ (* (exp (- (log 2) 6931/10000)) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2)) v)) (* (exp (- (log 2) 6931/10000)) (- (* -1 (* sinTheta_O sinTheta_i)) 1))) v)))>
#<alt (+ (exp (- (log 2) 6931/10000)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (- (log 2) 6931/10000)) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 3)) v)) (* 1/2 (* (exp (- (log 2) 6931/10000)) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2)))) v)) (* (exp (- (log 2) 6931/10000)) (- (* -1 (* sinTheta_O sinTheta_i)) 1))) v)))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (log 2) 6931/10000))))>
#<alt (/ (+ (* -1 (/ (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000)))) v)) (/ 1 (exp (- (log 2) 6931/10000)))) v)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000)))))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp (- (log 2) 6931/10000))))) (pow v 2))) (/ 1 (exp (- (log 2) 6931/10000)))) (+ (/ 1 (* v (exp (- (log 2) 6931/10000)))) (/ (* sinTheta_O sinTheta_i) (* v (exp (- (log 2) 6931/10000)))))) v)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000)))))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp (- (log 2) 6931/10000))))))) (+ (* -1/2 (* (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000)))))) (* 1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (exp (- (log 2) 6931/10000)))))) (pow v 3))) (/ 1 (exp (- (log 2) 6931/10000)))) (+ (* -1 (/ (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (/ 1 (exp (- (log 2) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000))))) (pow v 2))) (+ (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (exp (- (log 2) 6931/10000))))) (+ (/ 1 (* v (exp (- (log 2) 6931/10000)))) (/ (* sinTheta_O sinTheta_i) (* v (exp (- (log 2) 6931/10000)))))))) v)>
#<alt (/ 1 (* v (exp (- (log 2) 6931/10000))))>
#<alt (* -1 (/ (- (/ 1 (* v (exp (- (log 2) 6931/10000)))) (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* v (exp (- (log 2) 6931/10000))))) (/ 1 (exp (- (log 2) 6931/10000))))) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (- (/ 1 (exp (- (log 2) 6931/10000))) (* -1 (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000)))))) (* -1 (/ (+ (* 1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2) (exp (- (log 2) 6931/10000)))) (* (- (* -1 (* sinTheta_O sinTheta_i)) 1) (- (/ 1 (exp (- (log 2) 6931/10000))) (* -1 (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000))))))) v))) v)) (/ 1 (exp (- (log 2) 6931/10000)))) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (- (/ 1 (exp (- (log 2) 6931/10000))) (* -1 (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ (* 1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2) (exp (- (log 2) 6931/10000)))) (* (- (* -1 (* sinTheta_O sinTheta_i)) 1) (- (/ 1 (exp (- (log 2) 6931/10000))) (* -1 (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000))))))) (- (* -1 (* sinTheta_O sinTheta_i)) 1))) (+ (* 1/6 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 3) (exp (- (log 2) 6931/10000)))) (* 1/2 (* (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2) (- (/ 1 (exp (- (log 2) 6931/10000))) (* -1 (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000))))))))) v)) (+ (* 1/2 (/ (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2) (exp (- (log 2) 6931/10000)))) (* (- (* -1 (* sinTheta_O sinTheta_i)) 1) (- (/ 1 (exp (- (log 2) 6931/10000))) (* -1 (/ (* sinTheta_O sinTheta_i) (exp (- (log 2) 6931/10000)))))))) v))) v)) (/ 1 (exp (- (log 2) 6931/10000)))) v))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))) (/ 1 (* v (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))))>
#<alt (+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))))))) (/ sinTheta_i (* (pow v 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))))) (/ 1 (* v (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))))>
#<alt (+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))))) v)) (+ (* -1/2 (/ (pow sinTheta_i 3) (* (pow v 4) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))) (* 1/6 (/ (pow sinTheta_i 3) (* (pow v 4) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))))))) (+ (* -1 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))))))) (/ sinTheta_i (* (pow v 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))))) (/ 1 (* v (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))) (/ 1 (* v (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))))>
#<alt (+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))))))) (/ sinTheta_O (* (pow v 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))))) (/ 1 (* v (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))))>
#<alt (+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))))) v)) (+ (* -1/2 (/ (pow sinTheta_O 3) (* (pow v 4) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))) (* 1/6 (/ (pow sinTheta_O 3) (* (pow v 4) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))))))) (+ (* -1 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))))))) (/ sinTheta_O (* (pow v 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))))) (/ 1 (* v (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (/ 1 (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))>
#<alt (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))>
#<alt (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))>
#<alt (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))>
#<alt (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))>
#<alt (* v (exp (- (log 2) 6931/10000)))>
#<alt (* v (+ (exp (- (log 2) 6931/10000)) (/ (* (exp (- (log 2) 6931/10000)) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* v (+ (exp (- (log 2) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (log 2) 6931/10000)) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (log 2) 6931/10000)) (+ 1 (* sinTheta_O sinTheta_i))) v))))>
#<alt (* v (+ (exp (- (log 2) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (log 2) 6931/10000)) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (log 2) 6931/10000)) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (log 2) 6931/10000)) (+ 1 (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* v (exp (- (log 2) 6931/10000)))>
#<alt (* -1 (* v (+ (* -1 (exp (- (log 2) 6931/10000))) (/ (* (exp (- (log 2) 6931/10000)) (- (* -1 (* sinTheta_O sinTheta_i)) 1)) v))))>
#<alt (* -1 (* v (+ (* -1 (exp (- (log 2) 6931/10000))) (* -1 (/ (+ (* -1 (* (exp (- (log 2) 6931/10000)) (- (* -1 (* sinTheta_O sinTheta_i)) 1))) (* 1/2 (/ (* (exp (- (log 2) 6931/10000)) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2)) v))) v)))))>
#<alt (* -1 (* v (+ (* -1 (exp (- (log 2) 6931/10000))) (* -1 (/ (+ (* -1 (* (exp (- (log 2) 6931/10000)) (- (* -1 (* sinTheta_O sinTheta_i)) 1))) (* -1 (/ (+ (* -1/2 (* (exp (- (log 2) 6931/10000)) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 2))) (* 1/6 (/ (* (exp (- (log 2) 6931/10000)) (pow (- (* -1 (* sinTheta_O sinTheta_i)) 1) 3)) v))) v))) v)))))>
#<alt (* v (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))>
#<alt (+ (* sinTheta_O (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (* v (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))>
#<alt (+ (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) v)) (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))) (* v (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))>
#<alt (+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 2))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v)))) (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))) (* v (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))>
#<alt (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))>
#<alt (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))>
#<alt (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))>
#<alt (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))>
#<alt (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))>
#<alt (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))>
#<alt (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))>
#<alt (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))>
#<alt (* v (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))>
#<alt (+ (* sinTheta_O (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (* v (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))>
#<alt (+ (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) v)) (* sinTheta_O (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))) (* v (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))>
#<alt (+ (* sinTheta_i (+ (* sinTheta_O (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v)))))) (* v (exp (- (+ (log 2) (/ 1 v)) 6931/10000))))>
#<alt (* v (exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))>
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#<alt (+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_i (+ (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6)))))))) (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))))))))>
#<alt 1>
#<alt (+ 1 (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))))>
#<alt (+ 1 (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))))))>
#<alt (+ 1 (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* -2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (+ (* 110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (+ (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))))))>
#<alt 1>
#<alt (+ 1 (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_O 3))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (pow sinTheta_O 3))) (* 2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 3))))) sinTheta_i)) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_O 2))))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i)))>
#<alt (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))>
#<alt (+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* -48038761/100000000 (/ (* sinTheta_O (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))>
#<alt (+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (+ (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_O (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3))))))))))>
#<alt (+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (+ (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6)))))))) (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))))))))>
#<alt 1>
#<alt (+ 1 (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))))>
#<alt (+ 1 (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))))))>
#<alt (+ 1 (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* -2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (+ (* 110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (+ (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))))))>
#<alt 1>
#<alt (+ 1 (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_i 3))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (pow sinTheta_i 3))) (* 2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 3))))) sinTheta_O)) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_i 2))))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O)))>
#<alt 1>
#<alt (+ 1 (* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i)))))>
#<alt (+ 1 (* v (+ (* -4351410491404879/20000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))))>
#<alt (+ 1 (* v (+ (* v (- (* 535804164344572917445081/6000000000000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 4351410491404879/20000000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))))>
#<alt (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (/ (* (exp 6931/10000) (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (pow v 3)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2)))))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) v)) (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))>
#<alt (+ (* -48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))>
#<alt (+ (* sinTheta_i (- (* 48038761/100000000 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))>
#<alt (+ (* sinTheta_i (- (* sinTheta_i (- (* -48038761/100000000 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))>
#<alt (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))>
#<alt (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) (* 48038761/100000000 (/ v sinTheta_O))) sinTheta_i)>
#<alt (/ (- (+ (* 48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)>
#<alt (/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ v sinTheta_O))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i)>
#<alt (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))>
#<alt (* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))>
#<alt (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))>
#<alt (+ (* -48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))>
#<alt (+ (* sinTheta_O (- (* 48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))>
#<alt (+ (* sinTheta_O (- (* sinTheta_O (- (* -48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))>
#<alt (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))>
#<alt (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) (* 48038761/100000000 (/ v sinTheta_i))) sinTheta_O)>
#<alt (/ (- (+ (* 48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)>
#<alt (/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (* 48038761/100000000 (/ v sinTheta_i))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O)>
#<alt (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))>
#<alt (* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* sinTheta_O (pow sinTheta_i 4)))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_i 3)))) sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))>
#<alt (* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i))))>
#<alt (* v (+ (* -332956652491/1000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))>
#<alt (* v (+ (* v (- (* 2307722558415121/10000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))>
#<alt (* v (+ (* v (- (* v (+ (* -15994825052375203651/100000000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) (* 2307722558415121/10000000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (* 332956652491/1000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (- (+ 6931/10000 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3)))) (+ (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (- (* -10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) v)) (* -1 (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ 6931/10000 (* -1 (/ (- (* -1 (/ (- (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) v)) (* -1 (+ 1 (* 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 (/ (* sinTheta_O sinTheta_i) v)>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ 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 (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* 6931/10000 v) (+ 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 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
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#<alt (* sinTheta_i (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_i)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_i)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_i)))))>
#<alt (+ 6931/10000 (/ 1 v))>
#<alt (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_O (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_O)))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_O)))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_O)))))>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (+ (* 6931/10000 v) (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (+ 1 (+ (* 6931/10000 v) (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (+ 1 (+ (* 6931/10000 v) (* sinTheta_O sinTheta_i))) v)>
#<alt 6931/10000>
#<alt (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
Calls

213 calls:

TimeVariablePointExpression
12.0ms
v
@inf
(exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))))
5.0ms
sinTheta_O
@-inf
(* (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))) (exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))))) (/ 1/2 v))
4.0ms
sinTheta_i
@0
(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))) (exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))))
4.0ms
sinTheta_O
@0
(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))) (exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))))
3.0ms
sinTheta_i
@0
(* (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))) (exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))))) (/ 1/2 v))

rewrite379.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
2886×*-lowering-*.f32
2886×*-lowering-*.f64
2454×/-lowering-/.f32
2454×/-lowering-/.f64
2294×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048293
1298237
22860229
08759229
Stop Event
1×iter limit
1×node limit
Counts
25 → 728
Calls
Call 1
Inputs
(exp (- (log 2) (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v))))
(/ 1 (* v (exp (- (log 2) (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v))))))
(* v (exp (- (log 2) (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v)))))
(- (log 2) (+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v)))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(* (/ 1 v) cosTheta_O)
(exp (* cosTheta_i (* (/ 1 v) cosTheta_O)))
(* cosTheta_i (* (/ 1 v) cosTheta_O))
(/ 1 v)
(/ 1 (/ 2 (/ (exp (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)) v)))
(/ 2 (/ (exp (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)) v))
(/ (exp (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)) v)
(exp (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000))
(/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))) (exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))))
(* (/ (exp (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))) (exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))))) (/ 1/2 v))
(exp (/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))))
(/ 48038761/100000000 (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))
(/ (* sinTheta_O sinTheta_i) v)
(+ (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ -1 v))
(+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)
(/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v)))
(exp (/ (/ (/ (+ (* sinTheta_i sinTheta_O) 1) v) (/ v (+ (* sinTheta_i sinTheta_O) 1))) (+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))))
(+ 6931/10000 (/ (+ (* sinTheta_i sinTheta_O) 1) v))
Outputs
(exp.f32 (+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(pow.f32 (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) #s(literal 2 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(/.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) #s(literal 2 binary32)))
(/.f32 #s(literal -2 binary32) (neg.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))) (exp.f32 (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (exp.f32 (/.f32 (*.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/.f32 (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) #s(literal -1 binary32)))
(exp.f32 (-.f32 (*.f32 (log.f32 v) #s(literal -1 binary32)) (+.f32 (-.f32 (log.f32 #s(literal 2 binary32)) #s(literal 6931/10000 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (/.f32 v #s(literal 1/2 binary32))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 v (exp.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) (*.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 v (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (exp.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (/.f32 v #s(literal 1/2 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))))
(/.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (/.f32 v #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (exp.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) (*.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (/.f32 v #s(literal 1/2 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (/.f32 v #s(literal 1/2 binary32)))
(/.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) v))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
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(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v)))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v))) #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v)))
(exp.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(pow.f32 (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) v))))) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32)))))
(pow.f32 (pow.f32 (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(pow.f32 (exp.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(pow.f32 (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(pow.f32 (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(pow.f32 (exp.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 v (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v)) #s(literal -6931/10000 binary32))))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))
(pow.f32 (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(pow.f32 (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(pow.f32 (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))
(pow.f32 (exp.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) v))))) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32)))))
(pow.f32 (exp.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v)) #s(literal -6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 v (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32)))) (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) v)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 6931/10000 binary32))
(fma.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #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 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32)))) (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) v))) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32)))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) v))) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (*.f32 #s(literal 6931/10000 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(/.f32 (neg.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) v)))) (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))
(/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) #s(literal 48038761/100000000 binary32)) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32)))
(*.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32))))))
(*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 v v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))

simplify690.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
5640×*-lowering-*.f32
5640×*-lowering-*.f64
3346×+-lowering-+.f64
3346×+-lowering-+.f32
2538×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0200224714
1708923094
0805123094
Stop Event
1×iter limit
1×node limit
Counts
852 → 852
Calls
Call 1
Inputs
(exp (- (+ (log 2) (/ 1 v)) 6931/10000))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) v))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 2))) (/ (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v))))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) (pow v 2))))) (/ (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (/ 1 v)) 6931/10000))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) v))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 2))) (/ (* sinTheta_O (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v))))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) (pow v 2))))) (/ (* sinTheta_O (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp (- (log 2) 6931/10000))
(+ (exp (- (log 2) 6931/10000)) (/ (* (exp (- (log 2) 6931/10000)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(+ (exp (- (log 2) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (log 2) 6931/10000)) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (log 2) 6931/10000)) (+ 1 (* sinTheta_O sinTheta_i))) v)))
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(/ 1 (* v (exp (- (log 2) 6931/10000))))
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1
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(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
(/ cosTheta_O v)
1
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(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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1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
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1
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(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
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(/ 1/2 (* v (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))
(/ (+ (* 48038761/200000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))) (* 1/2 (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) v)
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(/ (+ (* v (+ (* v (- (* 535804164344572917445081/12000000000000000000000000 (/ v (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)))) (* 4351410491404879/40000000000000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))))) (* 48038761/200000000 (/ 1 (* (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (+ 1 (* sinTheta_O sinTheta_i))))))) (* 1/2 (/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* 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)) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (exp 6931/10000)) (+ (* 1/2 (/ (- (* (exp 6931/10000) (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (+ (* -100000000/48038761 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* -10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (pow v 3))) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2)))))) 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)))) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 1/2 (/ (- (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (+ (* 10000/6931 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 100000000/48038761 (* (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))
(exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* -48038761/100000000 (/ (* sinTheta_O (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_i (+ (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_i (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3))))))))))
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_i (+ (* -48038761/100000000 (/ (* sinTheta_O (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_i (+ (* sinTheta_i (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_O 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6)))))))) (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))))))))
1
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(+ 1 (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))))))
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1
(+ 1 (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i)))
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(exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* -48038761/100000000 (/ (* sinTheta_O (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (+ (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_O (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3))))))))))
(+ (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (+ (* -48038761/100000000 (/ (* sinTheta_i (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v))))) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* -48038761/100000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (+ (* -2307722558415121/10000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 5)))) (* -110860132438012536505081/6000000000000000000000000 (/ (pow sinTheta_i 3) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 6)))))))) (* (exp (/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))) (+ (* 2307722558415121/20000000000000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* 48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))))))))
1
(+ 1 (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))))
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1
(+ 1 (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))))
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_i 3))) (+ (* -110860132438012536505081/6000000000000000000000000 (/ (pow v 3) (pow sinTheta_i 3))) (* 2307722558415121/10000000000000000 (/ (* (pow v 3) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 3))))) sinTheta_O)) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2))) (* 2307722558415121/20000000000000000 (/ (pow v 2) (pow sinTheta_i 2))))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O)))
1
(+ 1 (* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i)))))
(+ 1 (* v (+ (* -4351410491404879/20000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))))
(+ 1 (* v (+ (* v (- (* 535804164344572917445081/6000000000000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 4351410491404879/20000000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))))
(exp 6931/10000)
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(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))))
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(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) v)) (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))
(+ (* -48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_i (- (* 48038761/100000000 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -48038761/100000000 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) (* 48038761/100000000 (/ v sinTheta_O))) sinTheta_i)
(/ (- (+ (* 48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ v sinTheta_O))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i)
(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))
(/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))
(+ (* -48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_O (- (* 48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) (* 48038761/100000000 (/ v sinTheta_i))) sinTheta_O)
(/ (- (+ (* 48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (* 48038761/100000000 (/ v sinTheta_i))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O)
(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* sinTheta_O (pow sinTheta_i 4)))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_i 3)))) sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))
(* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i))))
(* v (+ (* -332956652491/1000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i))))))
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6931/10000
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6931/10000
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6931/10000
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6931/10000
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6931/10000
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6931/10000
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(/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
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(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ 1 v)) 6931/10000) sinTheta_O)))))
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
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(* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
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(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))))))
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))
(+ (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (+ (* sinTheta_O (+ (* sinTheta_O (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (+ (* -1 (/ (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))) (* v (+ 6931/10000 (/ 1 v))))) (+ (* 1/6 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 3)) (* (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (+ (* 1/2 (pow (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v)))))))) (* (exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
1
(+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (+ (* 50000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4))) (+ (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4)))))))
1
(+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 50000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)) (* 1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))
(+ 6931/10000 (/ 1 v))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_i)))))
(+ 6931/10000 (/ 1 v))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_O)))))
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (+ 1 (+ (* 6931/10000 v) (* sinTheta_O sinTheta_i))) v)
(/ (+ 1 (+ (* 6931/10000 v) (* sinTheta_O sinTheta_i))) v)
(/ (+ 1 (+ (* 6931/10000 v) (* sinTheta_O sinTheta_i))) v)
6931/10000
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
6931/10000
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
Outputs
(exp (- (+ (log 2) (/ 1 v)) 6931/10000))
(exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) v))
(+.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) v))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 2))) (/ (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v))))
(+.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))) (*.f32 v v)) (/.f32 (*.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) sinTheta_i) v))))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) (pow v 2))))) (/ (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v))))
(+.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) sinTheta_i) v) (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))))))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (/ 1 v)) 6931/10000))
(exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (/ (* sinTheta_O (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) v))
(+.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) v))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 2))) (/ (* sinTheta_O (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v))))
(+.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))) (*.f32 v v)) (/.f32 (*.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) sinTheta_O) v))))
(+ (exp (- (+ (log 2) (/ 1 v)) 6931/10000)) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ (log 2) (/ 1 v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) (pow v 2))))) (/ (* sinTheta_O (exp (- (+ (log 2) (/ 1 v)) 6931/10000))) v))))
(+.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) sinTheta_O) v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v)))))))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (+ (log 2) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))
(exp.f32 (+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal -6931/10000 binary32)))
(exp (- (log 2) 6931/10000))
(exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal -6931/10000 binary32)))
(+ (exp (- (log 2) 6931/10000)) (/ (* (exp (- (log 2) 6931/10000)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(+.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal -6931/10000 binary32))) (/.f32 (*.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) #s(literal -6931/10000 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(+ (exp (- (log 2) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (log 2) 6931/10000)) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (log 2) 6931/10000)) (+ 1 (* sinTheta_O sinTheta_i))) v)))
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#s(literal 6931/10000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))))) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.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 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.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 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.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 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))))) (*.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) 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v (*.f32 v v)) (*.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 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.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 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.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 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.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 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.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 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))))) (-.f32 (-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (+.f32 (/.f32 (*.f32 #s(literal 2307722558415121/20000000000000000 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 4 binary32)))) (/.f32 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) (*.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)))))))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.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 (*.f32 #s(literal -48038761/100000000 binary32) (*.f32 sinTheta_O (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) (*.f32 v (*.f32 (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.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)))))) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))))) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.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 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.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 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.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 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))) (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 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(/ 1 (exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (neg.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
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(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
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(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
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1
#s(literal 1 binary32)
(+ 1 (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))))
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(+ 1 (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (+ (* 2307722558415121/20000000000000000 (/ (pow v 2) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))))))
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1
#s(literal 1 binary32)
(+ 1 (* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i))))
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1
#s(literal 1 binary32)
(+ 1 (* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 48038761/100000000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))
(+ 1 (* v (+ (* -4351410491404879/20000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))))
(+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -4351410491404879/20000000000000000 binary32) v) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))
(+ 1 (* v (+ (* v (- (* 535804164344572917445081/6000000000000000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (* 4351410491404879/20000000000000000 (/ 1 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))))
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(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
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(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2))))
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(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (/ (* (exp 6931/10000) (+ (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* -10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* -1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) (pow v 3)) (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) (pow v 2)))))
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(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
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(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
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(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp 6931/10000) (+ (* 1/6 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))))) v)) (* (exp 6931/10000) (+ (* 1/2 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
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(/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))
(/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(+ (* -48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
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(+ (* sinTheta_i (- (* 48038761/100000000 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
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(+ (* sinTheta_i (- (* sinTheta_i (- (* -48038761/100000000 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_O (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
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(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(/.f32 (*.f32 #s(literal 48038761/100000000 binary32) v) (*.f32 sinTheta_O sinTheta_i))
(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))) (* 48038761/100000000 (/ v sinTheta_O))) sinTheta_i)
(/.f32 (+.f32 (*.f32 #s(literal -48038761/100000000 binary32) (/.f32 (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))) (/.f32 (*.f32 #s(literal 48038761/100000000 binary32) v) sinTheta_O)) sinTheta_i)
(/ (- (+ (* 48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/.f32 (+.f32 (*.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 v sinTheta_O) (/.f32 (*.f32 (*.f32 v (*.f32 v v)) (*.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 sinTheta_i sinTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))))) (*.f32 #s(literal -48038761/100000000 binary32) (/.f32 (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))))) sinTheta_i)
(/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ v sinTheta_O))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i))))) sinTheta_i)
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(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(/.f32 (*.f32 #s(literal 48038761/100000000 binary32) v) (*.f32 sinTheta_O sinTheta_i))
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i))
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(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 4) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_O 2)))) sinTheta_i)) (* -48038761/100000000 (/ v sinTheta_O))) sinTheta_i))
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(/ 48038761/100000000 (+ 6931/10000 (/ 1 v)))
(/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(+ (* -48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (+ 6931/10000 (/ 1 v)) 2)))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
(+.f32 (/.f32 (*.f32 #s(literal -48038761/100000000 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
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(+ (* sinTheta_O (- (* sinTheta_O (- (* -48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 4)))) (* -48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (+ 6931/10000 (/ 1 v)) 3)))))) (* 48038761/100000000 (/ sinTheta_i (* v (pow (+ 6931/10000 (/ 1 v)) 2)))))) (* 48038761/100000000 (/ 1 (+ 6931/10000 (/ 1 v)))))
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(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(/.f32 (*.f32 #s(literal 48038761/100000000 binary32) v) (*.f32 sinTheta_O sinTheta_i))
(/ (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))) (* 48038761/100000000 (/ v sinTheta_i))) sinTheta_O)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -48038761/100000000 binary32) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (/.f32 (*.f32 #s(literal 48038761/100000000 binary32) v) sinTheta_i)) sinTheta_O)
(/ (- (+ (* 48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
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(/ (- (+ (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4)))) (* 48038761/100000000 (/ v sinTheta_i))) (+ (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2)))))) sinTheta_O)
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(* 48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(/.f32 (*.f32 #s(literal 48038761/100000000 binary32) v) (*.f32 sinTheta_O sinTheta_i))
(* -1 (/ (+ (* -48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O))
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(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (/ 1 v)) 3)) (* sinTheta_O (pow sinTheta_i 4)))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2)) (pow sinTheta_i 3)))) sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (/ 1 v))) (pow sinTheta_i 2)))) sinTheta_O)) (* -48038761/100000000 (/ v sinTheta_i))) sinTheta_O))
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(* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i))))
(/.f32 (*.f32 #s(literal 48038761/100000000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))
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6931/10000
#s(literal 6931/10000 binary32)
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6931/10000
#s(literal 6931/10000 binary32)
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(+ (* sinTheta_i (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
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(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (-.f32 (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.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 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.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)))))))))
(+ (* sinTheta_i (- (+ (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_i (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_O 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_O (- (* 2 (/ sinTheta_O (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_O (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (-.f32 (*.f32 sinTheta_i (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.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 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.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 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))) (/.f32 sinTheta_O (*.f32 (*.f32 v (*.f32 v v)) (*.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)))))))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_i (- (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))
(*.f32 sinTheta_i (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)) (/.f32 #s(literal 6931/10000 binary32) sinTheta_i)))
(* sinTheta_i (- (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2))))))
(*.f32 sinTheta_i (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) v))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (*.f32 (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))))
(* sinTheta_i (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_O v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)))) (* sinTheta_O (pow sinTheta_i 3)))) (+ (/ 1 (* sinTheta_O (* (pow sinTheta_i 2) v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O (pow sinTheta_i 2))))))
(*.f32 sinTheta_i (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)) (/.f32 (*.f32 (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) sinTheta_O))) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) v))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (*.f32 (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_i)))))
(*.f32 (*.f32 #s(literal -1 binary32) sinTheta_i) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) sinTheta_i))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_i)))))
(*.f32 (*.f32 #s(literal -1 binary32) sinTheta_i) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (*.f32 sinTheta_O sinTheta_i))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal 6931/10000 binary32))) sinTheta_i))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_O)) (/ 1 (* sinTheta_O v)))) sinTheta_i)) (/ 1 v)) 6931/10000) sinTheta_i)))))
(*.f32 (*.f32 #s(literal -1 binary32) sinTheta_i) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)) (/.f32 (*.f32 (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) sinTheta_O))) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)) (/.f32 (*.f32 (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) sinTheta_O))) sinTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) sinTheta_i))))
(/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(+ (* sinTheta_O (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_i) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (/.f32 sinTheta_i (*.f32 v (*.f32 v v))) (*.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)))))))
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_i) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (-.f32 (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_i) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (/.f32 sinTheta_i (*.f32 v (*.f32 v v))) (*.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 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) (/.f32 (/.f32 sinTheta_i (*.f32 v (*.f32 v v))) (*.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))))))))
(+ (* sinTheta_O (- (+ (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (- (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v)))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (* v (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_i 2) (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ (* sinTheta_i (- (* 2 (/ sinTheta_i (* (pow v 2) (+ 6931/10000 (/ 1 v))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (* v (+ 6931/10000 (/ 1 v))))))) (/ sinTheta_i (* (pow v 3) (pow (+ 6931/10000 (/ 1 v)) 2))))) (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_i) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (-.f32 (*.f32 sinTheta_O (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_i) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (/.f32 sinTheta_i (*.f32 v (*.f32 v v))) (*.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 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))) (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) sinTheta_i) (*.f32 (*.f32 v v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (/.f32 (/.f32 sinTheta_i (*.f32 v (*.f32 v v))) (*.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 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))) (/.f32 (/.f32 sinTheta_i (*.f32 v (*.f32 v v))) (*.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))))))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
(*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)) (-.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 6931/10000 binary32) sinTheta_O))))
(* sinTheta_O (- (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i)))))
(*.f32 sinTheta_O (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)) (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) v)))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (*.f32 (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))))))
(* sinTheta_O (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 (* sinTheta_i v)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)))) (* (pow sinTheta_O 3) sinTheta_i))) (+ (/ 1 (* sinTheta_O v)) (+ (/ 1 (* (pow sinTheta_O 2) (* sinTheta_i v))) (/ sinTheta_i v)))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* (pow sinTheta_O 2) sinTheta_i)))))
(*.f32 sinTheta_O (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 (*.f32 (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) sinTheta_i))) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)) (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) v)))) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (*.f32 (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (/ 1 v) 6931/10000) sinTheta_O)))))
(*.f32 (*.f32 #s(literal -1 binary32) sinTheta_O) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 sinTheta_i v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) sinTheta_O))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) (* sinTheta_O sinTheta_i))) (+ (/ 1 v) (/ 1 (* sinTheta_O (* sinTheta_i v))))) 6931/10000) sinTheta_O)))))
(*.f32 (*.f32 #s(literal -1 binary32) sinTheta_O) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 sinTheta_i v) (/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (*.f32 sinTheta_O sinTheta_i))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal 6931/10000 binary32))) sinTheta_O))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (* -1 (/ (- (/ (* v (* (+ 6931/10000 (/ 1 v)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v))))) (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (* v (* (+ 6931/10000 (/ 1 v)) (- (/ 1 v) 6931/10000))) sinTheta_i)) (/ 1 (* sinTheta_i v)))) sinTheta_O)) (/ 1 v)) 6931/10000) sinTheta_O)))))
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(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v #s(literal -6931/10000 binary32)))) v)
(/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (* 48038761/100000000 (/ v (+ 1 (* sinTheta_O sinTheta_i)))) 6931/10000)))) v)
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(/ (+ 1 (+ (* sinTheta_O sinTheta_i) (* v (- (* v (+ (* -332956652491/1000000000000 (/ v (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 48038761/100000000 (/ 1 (+ 1 (* sinTheta_O sinTheta_i)))))) 6931/10000)))) v)
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(* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 10000/6931 binary32)) (*.f32 v v))
(/ (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))
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(/ (- (+ (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 2)))) (* 100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v))) (pow v 2))
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(/ (- (+ (* -10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) (pow v 3))) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (+ (* -1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 2))) (* 100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)))) (pow v 2))
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(* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
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(/ (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))
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(/ (+ (* -1 (/ (- (* -1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) v)) (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))
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(/ (+ (* -1 (/ (- (* -1 (/ (- (* -10000000000000000/2307722558415121 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 5) v)) (* -1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* -100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) v)) (* 10000/6931 (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (pow v 2))
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(exp (/ 1 (* (pow v 2) (+ 6931/10000 (/ 1 v)))))
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(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(exp (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
1
#s(literal 1 binary32)
(+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 10000/6931 binary32)) (*.f32 v v)))
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 10000/6931 binary32)) (*.f32 v v)) (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) #s(literal -100000000/48038761 binary32)) (*.f32 v (*.f32 v v)))))
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (+ (* 50000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4))) (+ (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))) (* 1000000000000/332956652491 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 4) (pow v 4)))))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) #s(literal -100000000/48038761 binary32)) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 4 binary32)) #s(literal 50000000/48038761 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 10000/6931 binary32)) (*.f32 v v)) (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 4 binary32)) #s(literal 1000000000000/332956652491 binary32)) (pow.f32 v #s(literal 4 binary32)))))))
1
#s(literal 1 binary32)
(+ 1 (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 10000/6931 binary32)) (*.f32 v v)))
(+ 1 (+ (* -100000000/48038761 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 10000/6931 binary32)) (*.f32 v v)) (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) #s(literal -100000000/48038761 binary32)) (*.f32 v (*.f32 v v)))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 50000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4)) (* 1000000000000/332956652491 (pow (+ 1 (* sinTheta_O sinTheta_i)) 4))) v)) (* 100000000/48038761 (pow (+ 1 (* sinTheta_O sinTheta_i)) 3))) (pow v 3))) (* 10000/6931 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 10000/6931 binary32)) (*.f32 v v)) (/.f32 (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) #s(literal 100000000/48038761 binary32)) (neg.f32 (/.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) #s(literal 4 binary32)) #s(literal 1346550000000/332956652491 binary32)) v)))) (*.f32 v (*.f32 v v)))))
(+ 6931/10000 (/ 1 v))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_i (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v))))
(* sinTheta_i (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v))))
(* sinTheta_i (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_i)))))
(*.f32 (*.f32 #s(literal -1 binary32) sinTheta_i) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) sinTheta_i))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_i)))))
(*.f32 (*.f32 #s(literal -1 binary32) sinTheta_i) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) sinTheta_i))))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_i)))))
(*.f32 (*.f32 #s(literal -1 binary32) sinTheta_i) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) sinTheta_i))))
(+ 6931/10000 (/ 1 v))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_O (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)) (/.f32 sinTheta_i v))))
(* sinTheta_O (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)) (/.f32 sinTheta_i v))))
(* sinTheta_O (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)) (/.f32 sinTheta_i v))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_O)))))
(*.f32 (*.f32 #s(literal -1 binary32) sinTheta_O) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 sinTheta_i v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) sinTheta_O))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_O)))))
(*.f32 (*.f32 #s(literal -1 binary32) sinTheta_O) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 sinTheta_i v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) sinTheta_O))))
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (+ 6931/10000 (/ 1 v)) sinTheta_O)))))
(*.f32 (*.f32 #s(literal -1 binary32) sinTheta_O) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 sinTheta_i v) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) sinTheta_O))))
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (+ 1 (+ (* 6931/10000 v) (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))) v)
(/ (+ 1 (+ (* 6931/10000 v) (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))) v)
(/ (+ 1 (+ (* 6931/10000 v) (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))) v)
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))

eval236.0ms (1.4%)

Compiler

Compiled 69683 to 5254 computations (92.5% saved)

prune220.0ms (1.3%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New1652141666
Fresh10616
Picked505
Done033
Total1667231690
Accuracy
99.9%
Counts
1690 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32))))) (*.f32 v #s(literal 2 binary32)))
99.3%
(/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
33.9%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
99.3%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
99.4%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))))) v)))
99.7%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
91.5%
(/.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
14.3%
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v))))
99.7%
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
6.3%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
6.2%
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
3.0%
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
99.1%
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -4351410491404879/20000000000000000 binary32) v) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
99.4%
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v (-.f32 (/.f32 (*.f32 #s(literal 535804164344572917445081/6000000000000000000000000 binary32) v) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (/.f32 #s(literal 4351410491404879/20000000000000000 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
99.4%
(*.f32 (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
99.3%
(*.f32 (/.f32 (exp.f32 (*.f32 v (+.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v (-.f32 (/.f32 (*.f32 #s(literal 2307722558415121/10000000000000000 binary32) v) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (/.f32 #s(literal 332956652491/1000000000000 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
99.3%
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
99.3%
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
6.2%
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
14.3%
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
✓11.7%
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
✓14.3%
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓6.5%
#s(literal 1 binary32)
Compiler

Compiled 1843 to 688 computations (62.7% saved)

regimes247.0ms (1.5%)

Counts
54 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v sinTheta_i))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 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)))) v)
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v #s(literal 2 binary32)))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -4351410491404879/20000000000000000 binary32) v) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v (-.f32 (/.f32 (*.f32 #s(literal 535804164344572917445081/6000000000000000000000000 binary32) v) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (/.f32 #s(literal 4351410491404879/20000000000000000 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (log.f32 v)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (*.f32 v #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (log.f32 v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal 6931/10000 binary32))))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))) (*.f32 v (exp.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))))
(*.f32 (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32))))) v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))) (exp.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))))) v)
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32))))) (*.f32 v #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v) #s(literal -6931/10000 binary32))))) v)))
(*.f32 (/.f32 (exp.f32 (*.f32 v (+.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v (-.f32 (/.f32 (*.f32 #s(literal 2307722558415121/10000000000000000 binary32) v) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (/.f32 #s(literal 332956652491/1000000000000 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (*.f32 v (/.f32 (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) v))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) v)) #s(literal -6931/10000 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))))))
Calls

9 calls:

82.0ms
v
51.0ms
sinTheta_i
22.0ms
(+.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))))
17.0ms
cosTheta_O
15.0ms
sinTheta_O
Results
AccuracySegmentsBranch
99.7%1cosTheta_i
99.7%1cosTheta_O
99.7%1sinTheta_i
99.7%1sinTheta_O
99.7%1v
99.7%1(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
99.7%1(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
99.7%1(*.f32 cosTheta_i cosTheta_O)
99.7%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes108.0ms (0.6%)

Counts
38 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v sinTheta_i))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 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)))) v)
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v #s(literal 2 binary32)))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -4351410491404879/20000000000000000 binary32) v) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v (-.f32 (/.f32 (*.f32 #s(literal 535804164344572917445081/6000000000000000000000000 binary32) v) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (/.f32 #s(literal 4351410491404879/20000000000000000 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (log.f32 v)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
Outputs
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
Calls

7 calls:

38.0ms
(*.f32 cosTheta_i cosTheta_O)
12.0ms
cosTheta_O
11.0ms
sinTheta_O
10.0ms
cosTheta_i
10.0ms
sinTheta_i
Results
AccuracySegmentsBranch
99.7%1cosTheta_i
99.7%1cosTheta_O
99.7%1sinTheta_i
99.7%1sinTheta_O
99.7%1v
99.7%1(*.f32 cosTheta_i cosTheta_O)
99.7%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes76.0ms (0.4%)

Counts
37 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v sinTheta_i))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 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)))) v)
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v #s(literal 2 binary32)))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -4351410491404879/20000000000000000 binary32) v) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v (-.f32 (/.f32 (*.f32 #s(literal 535804164344572917445081/6000000000000000000000000 binary32) v) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (/.f32 #s(literal 4351410491404879/20000000000000000 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (log.f32 v)))))
Outputs
(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (log.f32 v)))))
Calls

7 calls:

12.0ms
cosTheta_O
10.0ms
sinTheta_O
10.0ms
(*.f32 cosTheta_i cosTheta_O)
10.0ms
sinTheta_i
10.0ms
cosTheta_i
Results
AccuracySegmentsBranch
99.7%1cosTheta_i
99.7%1cosTheta_O
99.7%1sinTheta_i
99.7%1sinTheta_O
99.7%1v
99.7%1(*.f32 cosTheta_i cosTheta_O)
99.7%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes134.0ms (0.8%)

Counts
36 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v sinTheta_i))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 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)))) v)
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v #s(literal 2 binary32)))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -4351410491404879/20000000000000000 binary32) v) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v (-.f32 (/.f32 (*.f32 #s(literal 535804164344572917445081/6000000000000000000000000 binary32) v) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (/.f32 #s(literal 4351410491404879/20000000000000000 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))))))) (exp.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) (/.f32 v (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
Outputs
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))) v)
Calls

7 calls:

32.0ms
(*.f32 sinTheta_i sinTheta_O)
31.0ms
cosTheta_i
27.0ms
v
13.0ms
sinTheta_i
10.0ms
cosTheta_O
Results
AccuracySegmentsBranch
99.7%1cosTheta_i
99.7%1cosTheta_O
99.7%1sinTheta_i
99.7%1sinTheta_O
99.7%1v
99.7%1(*.f32 cosTheta_i cosTheta_O)
99.7%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes60.0ms (0.4%)

Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v sinTheta_i))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 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)))) v)
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
Calls

7 calls:

9.0ms
cosTheta_i
9.0ms
sinTheta_O
8.0ms
cosTheta_O
8.0ms
(*.f32 cosTheta_i cosTheta_O)
8.0ms
sinTheta_i
Results
AccuracySegmentsBranch
99.7%1cosTheta_i
99.7%1cosTheta_O
99.7%1sinTheta_i
99.7%1sinTheta_O
99.7%1v
99.7%1(*.f32 cosTheta_i cosTheta_O)
99.7%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes74.0ms (0.4%)

Counts
22 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v sinTheta_i))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 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)))) v)
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
Outputs
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
Calls

7 calls:

34.0ms
sinTheta_i
6.0ms
(*.f32 cosTheta_i cosTheta_O)
6.0ms
cosTheta_O
6.0ms
v
6.0ms
sinTheta_O
Results
AccuracySegmentsBranch
99.7%1cosTheta_i
99.7%1cosTheta_O
99.7%1sinTheta_i
99.7%1sinTheta_O
99.7%1v
99.7%1(*.f32 cosTheta_i cosTheta_O)
99.7%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes128.0ms (0.8%)

Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v sinTheta_i))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v))))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
Outputs
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
Calls

7 calls:

90.0ms
sinTheta_O
7.0ms
cosTheta_i
6.0ms
(*.f32 sinTheta_i sinTheta_O)
6.0ms
sinTheta_i
6.0ms
cosTheta_O
Results
AccuracySegmentsBranch
99.3%1cosTheta_i
99.3%1cosTheta_O
99.3%1sinTheta_i
99.3%1sinTheta_O
99.3%1v
99.3%1(*.f32 cosTheta_i cosTheta_O)
99.3%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes48.0ms (0.3%)

Counts
19 → 2
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 (neg.f32 sinTheta_O) (/.f32 v sinTheta_i)))
(exp.f32 (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 v sinTheta_i))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v))))
Outputs
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
Calls

7 calls:

14.0ms
cosTheta_i
6.0ms
v
5.0ms
sinTheta_O
5.0ms
cosTheta_O
5.0ms
sinTheta_i
Results
AccuracySegmentsBranch
40.2%2cosTheta_i
39.8%2cosTheta_O
33.9%1sinTheta_i
33.9%1sinTheta_O
33.9%1v
42.1%2(*.f32 cosTheta_i cosTheta_O)
33.9%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes9.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
Outputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
Calls

3 calls:

3.0ms
cosTheta_i
3.0ms
cosTheta_O
3.0ms
sinTheta_i
Results
AccuracySegmentsBranch
33.9%1sinTheta_i
33.9%1cosTheta_O
33.9%1cosTheta_i
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes6.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
sinTheta_i
1.0ms
cosTheta_O
1.0ms
v
1.0ms
sinTheta_O
1.0ms
cosTheta_i
Results
AccuracySegmentsBranch
6.5%1v
6.5%1sinTheta_O
6.5%1cosTheta_i
6.5%1cosTheta_O
6.5%1sinTheta_i
Compiler

Compiled 30 to 25 computations (16.7% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-8.916090561650877e-32
-3.3024849632043953e-32
Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify79.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
328×distribute-lft-neg-in_binary32
278×unsub-neg_binary32
198×neg-mul-1_binary32
162×neg-sub0_binary32
150×sub-neg_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061126
194126
2134126
3201126
4274126
5374126
6494126
7694126
8908126
91045126
101123126
111146126
121152126
131153126
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (log.f32 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (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 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(if (<=.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -8507059/170141183460469231731687303715884105728 binary32)) (exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
#s(literal 1 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (*.f32 v (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (log.f32 v)))))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (log.f32 v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 6931/10000 binary32)))))) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (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) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v)
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(if (<=.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -8507059/170141183460469231731687303715884105728 binary32)) (exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(if (<=.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -8507059/170141183460469231731687303715884105728 binary32)) (exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
#s(literal 1 binary32)

soundness3.2s (18.8%)

Rules
6740×*-lowering-*.f32
6740×*-lowering-*.f64
6428×*-lowering-*.f32
6428×*-lowering-*.f64
6300×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05969738
120098662
277788653
083788653
0140718490
1500017028
0826517028
0111316297
1395615028
0876215028
038225
1245207
22163203
010327203
0200224714
1708923094
0805123094
031131
1226117
22368117
08228117
02121
15319
215019
360819
4274119
5792319
0839619
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
1×iter limit
1×node limit
Compiler

Compiled 439 to 307 computations (30.1% saved)

preprocess143.0ms (0.9%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 1090 to 730 computations (33% saved)

end0.0ms (0%)

Profiling

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