HairBSDF, Mp, lower

Time bar (total: 15.5s)

analyze674.0ms (4.4%)

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: 418.0ms
...c/correct-round.rkt:119:19: 129.0ms (30.9% of total)
ival-<=: 91.0ms (21.8% of total)
ival-mult: 50.0ms (12% of total)
ival-div: 37.0ms (8.8% of total)
ival-log: 32.0ms (7.7% of total)
ival-add: 22.0ms (5.3% of total)
ival-sub: 20.0ms (4.8% of total)
ival-and: 17.0ms (4.1% of total)
ival-exp: 14.0ms (3.3% of total)
const: 3.0ms (0.7% of total)
backward-pass: 1.0ms (0.2% of total)

sample3.2s (20.4%)

Results
2.6s8256×0valid
37.0ms131×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
...c/correct-round.rkt:119:19: 484.0ms (24.4% of total)
ival-<=: 484.0ms (24.4% of total)
ival-div: 288.0ms (14.5% of total)
ival-mult: 226.0ms (11.4% of total)
ival-log: 129.0ms (6.5% of total)
ival-sub: 100.0ms (5% of total)
ival-exp: 91.0ms (4.6% of total)
ival-add: 91.0ms (4.6% of total)
ival-and: 73.0ms (3.7% of total)
const: 16.0ms (0.8% of total)
backward-pass: 4.0ms (0.2% of total)
Bogosity

preprocess272.0ms (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)

explain192.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1012(-3.764581643017543e-36 1.9692683673171101e-19 -8.351152587238175e-7 3.769381847971954e-16 4.644370166229095e-10)40(-2.7030227409532964e-23 1.355916560360197e-20 -5.843159844864942e-10 4.0830762526899147e-25 3.856559280090189e-31)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
793(-4.763566237347116e-22 -2.351457968474308e-37 -2.934789167734859e-16 -1.3472541357936157e-35 2.983143303936231e-6)26(-1.657683896771116e-31 1.2230195542217003e-21 -2.8561614878741537e-11 -1.6396591878198437e-34 4.3158445727986855e-19)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
12(-5.226198640517765e-11 2.2315694958605696e-32 -3.952590427597363e-36 7.45435768996496e-24 0.005120368674397469)1(2.8541963254301426e-37 8.871018581757298e-32 -2.1423906169354367e-33 7.357707685222819e-28 0.012452736496925354)(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
110.0ms512×0valid
Compiler

Compiled 308 to 65 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-div: 17.0ms (27.7% of total)
ival-mult: 12.0ms (19.5% of total)
...c/correct-round.rkt:119:19: 9.0ms (14.7% of total)
ival-log: 8.0ms (13% of total)
ival-add: 5.0ms (8.1% of total)
ival-sub: 5.0ms (8.1% of total)
ival-exp: 3.0ms (4.9% of total)
const: 1.0ms (1.6% 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)))
▶99.4%
(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)

simplify188.0ms (1.2%)

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-diff64
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
✓cost-diff64
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
✓cost-diff64
(+.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-diff3264
(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)

localize125.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(-.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))
✓accuracy78.5%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy99.7%
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓accuracy99.6%
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
✓accuracy78.5%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy75.1%
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
Results
83.0ms256×0valid
Compiler

Compiled 242 to 32 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 14.0ms (30.5% of total)
ival-mult: 9.0ms (19.6% of total)
...c/correct-round.rkt:119:19: 6.0ms (13.1% of total)
ival-add: 5.0ms (10.9% of total)
ival-sub: 4.0ms (8.7% of total)
ival-log: 4.0ms (8.7% of total)
ival-exp: 3.0ms (6.5% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series210.0ms (1.4%)

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 (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))>
#<alt (log (/ 1 (* 2 v)))>
#<alt (/ 1 (* 2 v))>
#<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 (/ (* cosTheta_i cosTheta_O) v)>
#<alt (/ (* sinTheta_i sinTheta_O) v)>
#<alt (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) 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 (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
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#<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 (/ (* 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 (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (/ (* 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
80.0ms
v
@0
(log (/ 1 (* 2 v)))
34.0ms
v
@inf
(log (/ 1 (* 2 v)))
17.0ms
cosTheta_i
@inf
(/ (exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))) (* v 2))
10.0ms
v
@-inf
(log (/ 1 (* 2 v)))
7.0ms
cosTheta_i
@0
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))

rewrite404.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
3190×fma-lowering-fma.f32
3190×fma-lowering-fma.f64
2292×*-lowering-*.f32
2292×*-lowering-*.f64
1984×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031127
1226113
22358113
09006113
Stop Event
1×iter limit
1×node limit
Counts
12 → 661
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))))
(log (/ 1 (* 2 v)))
(/ 1 (* 2 v))
(/ (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_i cosTheta_O) v)
(/ (* sinTheta_i sinTheta_O) v)
(- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) 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)))
(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 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 #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))
(/.f32 (exp.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (exp.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 (neg.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))))) (neg.f32 (*.f32 v #s(literal -2 binary32))))
(/.f32 (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))) 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))) #s(literal 1 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))) #s(literal -1 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))) #s(literal 1/2 binary32)) v)
(/.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))) #s(literal 2 binary32)) v)
(/.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))) (+.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 (pow.f32 (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 (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)) #s(literal 0 binary32))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (+.f32 (/.f32 #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)) #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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 v 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(+.f32 (*.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))))
(+.f32 (*.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))))
(+.f32 (*.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))))
(+.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 cosTheta_i (/.f32 cosTheta_O v))) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (/.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)) #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)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 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 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))) (+.f32 (*.f32 (/.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)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 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 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 #s(literal 1 binary32) (*.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 #s(literal 1 binary32) (*.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 #s(literal 1 binary32) (*.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 #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)))))
(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)))
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(+.f32 (fma.f32 (neg.f32 (*.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 (neg.f32 (*.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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)))
(fma.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal -1 binary32) v) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)))
(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 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 #s(literal 1 binary32) (*.f32 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 cosTheta_i (/.f32 cosTheta_O v)))
(fma.f32 (neg.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 (-.f32 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (+.f32 (/.f32 (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 (/.f32 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) v) (*.f32 (neg.f32 v) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (neg.f32 v) v))
(/.f32 (-.f32 (*.f32 (neg.f32 (*.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 (neg.f32 (*.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))
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(+.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 (neg.f32 (*.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 (neg.f32 (*.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 (neg.f32 (*.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 (neg.f32 (*.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 (neg.f32 (*.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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)))
(fma.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal -1 binary32) v) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)))
(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 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 #s(literal 1 binary32) (*.f32 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 cosTheta_i (/.f32 cosTheta_O v)))
(fma.f32 (neg.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 (-.f32 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (+.f32 (/.f32 (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 (/.f32 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) v) (*.f32 (neg.f32 v) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (neg.f32 v) v))
(/.f32 (-.f32 (*.f32 (neg.f32 (*.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 (neg.f32 (*.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 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(/.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (/.f32 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 (neg.f32 (*.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 #s(literal 1 binary32) (*.f32 v v)))
(*.f32 (-.f32 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (*.f32 cosTheta_i (/.f32 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 cosTheta_i (/.f32 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 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(neg.f32 (/.f32 (neg.f32 (*.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 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)
(/.f32 (neg.f32 (neg.f32 (*.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 cosTheta_i (/.f32 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 (neg.f32 (*.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))

simplify457.0ms (2.9%)

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
05969417
120098462
277598459
083588459
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))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))
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(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))))
(- (+ 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)))
(- (+ 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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(* 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)
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(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
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(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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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))))
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(exp 6931/10000)
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(exp 6931/10000)
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(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
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(+ (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))))))
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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) (/ (* 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))))
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(+ (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))))))))
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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 (/ (* 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)
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(/ (- (+ (* 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
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(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
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(- (+ 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))
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(- (+ 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)))))
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(/ (- (* 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)
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(* -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)))))
(/ (* 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)
(/ (* 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)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(/ (* 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_O (*.f32 cosTheta_O cosTheta_i))) (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))))
(+.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 (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)) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_i)))) (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 (*.f32 v v))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.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)))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.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)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.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)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.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)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.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)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.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)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.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)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.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)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.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)))))
(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_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))))
(+.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 (+.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_i v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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 (*.f32 cosTheta_i cosTheta_i)))) (*.f32 v v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+.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 (+.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_i v)) (*.f32 cosTheta_O (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) cosTheta_O) (*.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 cosTheta_i cosTheta_i)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_i)) (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)))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.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)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.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)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.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)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(+.f32 (+.f32 (+.f32 (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 (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 (*.f32 #s(literal 1/6 binary32) (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))) (-.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 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 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (/.f32 (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 (*.f32 #s(literal -1/2 binary32) (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))) (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))) 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 (*.f32 #s(literal -1/6 binary32) (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))) (*.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))))) 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))))))
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(+ (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))))))))
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(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 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i 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 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_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 (*.f32 #s(literal -1/6 binary32) sinTheta_O) (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i 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 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i 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_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))))
(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))))
(- 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)))
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(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 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 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.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 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.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 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (/.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 cosTheta_O (/.f32 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 (+ (/ 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)))
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(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 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 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) 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 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 (*.f32 (neg.f32 cosTheta_i) #s(literal -1 binary32)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 (*.f32 (neg.f32 cosTheta_i) #s(literal -1 binary32)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 (*.f32 (neg.f32 cosTheta_i) #s(literal -1 binary32)) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) cosTheta_i)))
(/ (- (* 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 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal 6931/10000 binary32) v)) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal 6931/10000 binary32) v)) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal 6931/10000 binary32) v)) 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 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.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)))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.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)))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.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)))
(* -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 #s(literal 6931/10000 binary32) sinTheta_i) (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 cosTheta_i v)) sinTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) 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 (/.f32 cosTheta_i v)) sinTheta_i) (/.f32 (/.f32 #s(literal 1 binary32) 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 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (*.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 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (*.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 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (*.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))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.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)))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.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)))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.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)))
(* -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 #s(literal 6931/10000 binary32) 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)) (/ (* 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 (/.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)) (/ (* 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 (/.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))
(-.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 (+.f32 (/.f32 sinTheta_i v) (neg.f32 (/.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) sinTheta_O))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 (+.f32 (/.f32 sinTheta_i v) (neg.f32 (/.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) sinTheta_O))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 (+.f32 (/.f32 sinTheta_i v) (neg.f32 (/.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) sinTheta_O))) (neg.f32 sinTheta_O))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O))))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.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)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 (-.f32 (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 (-.f32 (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 (-.f32 (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) v)
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
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(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(*.f32 sinTheta_O (*.f32 (+.f32 (/.f32 sinTheta_i v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_O))) #s(literal -1 binary32)))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(*.f32 sinTheta_O (*.f32 (+.f32 (/.f32 sinTheta_i v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_O))) #s(literal -1 binary32)))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(*.f32 sinTheta_O (*.f32 (+.f32 (/.f32 sinTheta_i v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_O))) #s(literal -1 binary32)))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))

eval128.0ms (0.8%)

Compiler

Compiled 39953 to 3311 computations (91.7% saved)

prune142.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1261101271
Fresh000
Picked202
Done000
Total1263101273
Accuracy
99.9%
Counts
1273 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(/.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)
4.6%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
98.8%
(/.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))) (+.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 (pow.f32 (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)))))))
▶99.8%
(/.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))
▶12.4%
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
▶99.4%
(exp.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))))
▶13.5%
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
Compiler

Compiled 574 to 316 computations (44.9% saved)

simplify198.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓cost-diff0
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓cost-diff64
(+.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)))
✓cost-diff3264
(exp.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))))
✓cost-diff64
(-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
✓cost-diff64
(exp.f32 (-.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 1/2 binary32) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v))))
✓cost-diff64
(/.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-diff0
(*.f32 sinTheta_O sinTheta_i)
✓cost-diff0
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓cost-diff32
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓cost-diff32
(exp.f32 (-.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-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))))
✓cost-diff3264
(/.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)))))
Rules
2700×*-lowering-*.f32
2700×*-lowering-*.f64
1568×/-lowering-/.f32
1568×/-lowering-/.f64
1506×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042293
1107280
2283276
3800271
42537268
08165268
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
(exp (+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v))))
(+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v)))
(+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v)))
(log (/ 1/2 v))
(/ 1/2 v)
1/2
v
(* cosTheta_O (/ cosTheta_i v))
cosTheta_O
(/ cosTheta_i v)
cosTheta_i
(+ 6931/10000 (/ -1 v))
6931/10000
(/ -1 v)
-1
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 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i sinTheta_O) (*.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 (exp.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 cosTheta_i cosTheta_O))) v))) (/.f32 #s(literal 1/2 binary32) v))
(- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 cosTheta_i cosTheta_O))) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(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 (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))
(/ (- (- (* 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 (/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -6931/10000 binary32)))) v)
(* 1/2 (exp (- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -6931/10000 binary32))))
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)
(exp (+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) v))) (*.f32 v #s(literal 2 binary32)))
(+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v)))
(-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 #s(literal -6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) v)))
(+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v)))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(log (/ 1/2 v))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
v
(* cosTheta_O (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cosTheta_O
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
(+ 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)

localize193.0ms (1.2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓accuracy99.8%
(exp.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))))
✓accuracy99.6%
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓accuracy99.3%
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓accuracy99.9%
(-.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)))
✓accuracy99.6%
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓accuracy78.5%
(/.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)
✓accuracy99.8%
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
✓accuracy78.5%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓accuracy100.0%
(/.f32 cosTheta_i v)
✓accuracy99.9%
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓accuracy99.3%
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓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))
✓accuracy99.9%
(-.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)))
✓accuracy99.8%
(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))))
✓accuracy99.8%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
Results
114.0ms256×0valid
Compiler

Compiled 318 to 43 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-div: 14.0ms (22.9% of total)
ival-mult: 10.0ms (16.4% of total)
ival-exp: 9.0ms (14.7% of total)
ival-sub: 9.0ms (14.7% of total)
ival-log: 8.0ms (13.1% of total)
ival-add: 5.0ms (8.2% of total)
...c/correct-round.rkt:119:19: 4.0ms (6.5% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series163.0ms (1.1%)

Counts
22 → 828
Calls
Call 1
Inputs
#<alt (/ 1 (exp (- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))))>
#<alt (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 (exp (- 0 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- 0 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_O sinTheta_i)>
#<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))))>
#<alt (exp (- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)))>
#<alt (- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))>
#<alt (exp (+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v))))>
#<alt (+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v)))>
#<alt (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v)))>
#<alt (log (/ 1/2 v))>
#<alt (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))>
#<alt (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)>
#<alt (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))>
Outputs
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))>
#<alt (- (+ (/ 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))))))>
#<alt (- (+ (* -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))))))>
#<alt (- (+ (* -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))))))>
#<alt (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))>
#<alt (+ (* -1 (/ (- (+ (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))>
#<alt (+ (* -1 (/ (- (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* v (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))) (/ (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) v)))) (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))>
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ (* (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (- (+ (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) v)))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))))) v)) (+ (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))) (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))>
#<alt (+ (/ 1 (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)))))>
#<alt (+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1 (/ cosTheta_O (* 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))))>
#<alt (+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/6 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (+ (* 1/2 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (/ (* cosTheta_O (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))))) v))))) (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000))))) (* 1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))))))) (* -1 (/ cosTheta_O (* 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))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 6931/10000)))>
#<alt (+ (/ 1 (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)))))>
#<alt (+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -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))))>
#<alt (+ (* 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))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -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))))))>
#<alt (+ (* 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))))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
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#<alt (* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)))))>
#<alt (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<alt (* 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)))))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
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#<alt (* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))>
#<alt (+ (log 2) (log v))>
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#<alt (+ 1 (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (pow cosTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2))))) (/ cosTheta_i v))))>
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#<alt 1>
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#<alt 1>
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#<alt (+ 1 (+ (* 1/6 (/ (* (pow cosTheta_O 3) (pow cosTheta_i 3)) (pow v 3))) (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))>
#<alt 1>
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#<alt (+ 1 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow cosTheta_O 3) (pow cosTheta_i 3)) v)) (* 1/2 (* (pow cosTheta_O 2) (pow cosTheta_i 2)))) v))) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
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#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
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#<alt 1>
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#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
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#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
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#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
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#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))>
#<alt 1>
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#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))>
#<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))>
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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))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<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))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
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#<alt (/ (* sinTheta_O sinTheta_i) v)>
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#<alt (/ (* sinTheta_O sinTheta_i) v)>
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#<alt (* sinTheta_O sinTheta_i)>
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#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))>
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#<alt (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) 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))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
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#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
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#<alt (* 1/2 (/ (exp 6931/10000) v))>
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#<alt (/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- 1 (* -1 (* sinTheta_O sinTheta_i)))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (- 1 (* -1 (* sinTheta_O sinTheta_i))))) (* 1/4 (/ (* (exp 6931/10000) (pow (- 1 (* -1 (* sinTheta_O sinTheta_i))) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- 1 (* -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))>
#<alt (* 1/2 (exp (- 6931/10000 (/ 1 v))))>
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#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) v)>
#<alt (/ (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) v)>
#<alt (/ (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) v)>
#<alt (+ (log 1/2) (log (/ 1 v)))>
#<alt (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (+ (log -1/2) (log (/ -1 v)))>
#<alt (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (log (/ 1/2 v))>
#<alt (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)))>
#<alt (* cosTheta_O (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)))>
#<alt (* cosTheta_O (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (log (/ 1/2 v)) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (log (/ 1/2 v)) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (log (/ 1/2 v)) cosTheta_O)))))>
#<alt (log (/ 1/2 v))>
#<alt (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)))>
#<alt (* cosTheta_i (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)))>
#<alt (* cosTheta_i (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (log (/ 1/2 v)) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (log (/ 1/2 v)) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (log (/ 1/2 v)) cosTheta_i)))))>
#<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 (* -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_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))))>
#<alt (- 6931/10000 (+ (/ 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 (/ (* 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)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 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 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (- 6931/10000 (+ (/ 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 (/ (* 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 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
Calls

207 calls:

TimeVariablePointExpression
32.0ms
v
@0
(log (* v 2))
21.0ms
cosTheta_i
@0
(- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))
19.0ms
cosTheta_i
@0
(exp (* cosTheta_O (/ cosTheta_i v)))
10.0ms
v
@-inf
(log (* v 2))
4.0ms
v
@inf
(log (* v 2))

rewrite345.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
2690×fma-lowering-fma.f32
2690×fma-lowering-fma.f64
2536×*-lowering-*.f32
2536×*-lowering-*.f64
1726×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042210
1281198
22755197
08235197
Stop Event
1×iter limit
1×node limit
Counts
22 → 464
Calls
Call 1
Inputs
(/ 1 (exp (- (log (* v 2)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))))
(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)
(exp (- 0 (/ (* sinTheta_O sinTheta_i) v)))
(- 0 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(/ (* 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)))
(- (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v))
(exp (+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v))))
(+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v)))
(+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v)))
(log (/ 1/2 v))
(- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))
(+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)
(- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))))))
(exp.f32 (neg.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) 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 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32))
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(neg.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(neg.f32 (log.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) #s(literal 1 binary32))))
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(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (neg.f32 v))))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32)))))
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(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
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(+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 cosTheta_i cosTheta_O))
(pow.f32 (/.f32 (+.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_i) cosTheta_i) (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))))) #s(literal -1 binary32))
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(fma.f32 #s(literal 1 binary32) (-.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)))
(fma.f32 #s(literal 1 binary32) (-.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))))
(fma.f32 cosTheta_i cosTheta_O (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 cosTheta_i cosTheta_O (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 cosTheta_i cosTheta_O (neg.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)))))
(fma.f32 cosTheta_O cosTheta_i (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 cosTheta_O cosTheta_i (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 cosTheta_O cosTheta_i (neg.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)))))
(fma.f32 sinTheta_i (neg.f32 sinTheta_O) (*.f32 cosTheta_i cosTheta_O))
(fma.f32 sinTheta_O (neg.f32 sinTheta_i) (*.f32 cosTheta_i cosTheta_O))
(fma.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32) (+.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))))
(fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O) (*.f32 cosTheta_i cosTheta_O))
(fma.f32 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_i cosTheta_O))
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(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) cosTheta_i) (*.f32 (*.f32 cosTheta_O cosTheta_O) 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 #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))))
(fma.f32 (-.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal 1 binary32) (+.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)))
(fma.f32 (-.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal 1 binary32) (+.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))))
(fma.f32 (neg.f32 sinTheta_i) sinTheta_O (*.f32 cosTheta_i cosTheta_O))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O))))
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(*.f32 #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 (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) cosTheta_i) (*.f32 (*.f32 cosTheta_O cosTheta_O) 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 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (/.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 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v))
(pow.f32 (/.f32 (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))))) (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (*.f32 v v) v)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal -6931/10000 binary32)) (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) #s(literal -48038761/100000000 binary32))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))
(fma.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(fma.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) #s(literal 6931/10000 binary32))
(fma.f32 (neg.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(-.f32 (/.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal -6931/10000 binary32))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal -6931/10000 binary32))))
(-.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 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))))) (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (*.f32 v v) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal -6931/10000 binary32)) (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) #s(literal -48038761/100000000 binary32))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (*.f32 v v) v))) (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (*.f32 v v) v))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 6931/10000 binary32) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))))))
(/.f32 (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) #s(literal -48038761/100000000 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal -6931/10000 binary32)))
(/.f32 (neg.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (*.f32 v v) v)))) (neg.f32 (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))))))))
(/.f32 (neg.f32 (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) #s(literal -48038761/100000000 binary32))) (neg.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal -6931/10000 binary32))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)))
(*.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))))))))
(*.f32 (+.f32 (/.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) #s(literal -48038761/100000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal -6931/10000 binary32))))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal 6931/10000 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (*.f32 v v) v)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) #s(literal -1 binary32))
(fma.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i v)) #s(literal 6931/10000 binary32))
(fma.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 6931/10000 binary32))
(fma.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v) #s(literal 6931/10000 binary32))
(fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) #s(literal 6931/10000 binary32))
(fma.f32 (neg.f32 (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v (*.f32 sinTheta_i sinTheta_O)) #s(literal 6931/10000 binary32))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (/.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (*.f32 v v) v)) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (*.f32 v v) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (*.f32 v v) v))) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) v)))
(/.f32 (neg.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (*.f32 v v) v)))) (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (*.f32 v v) v))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))) (*.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) v)))))
(*.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))

simplify538.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
6114×*-lowering-*.f32
6114×*-lowering-*.f64
3844×+-lowering-+.f64
3844×+-lowering-+.f32
1610×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0107713804
1370112982
0820512982
Stop Event
1×iter limit
1×node limit
Counts
828 → 828
Calls
Call 1
Inputs
(/ 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))))))
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(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(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
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(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)))
(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
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* 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))
(* -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))
(* -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))
(/ (* 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)
(* 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)
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 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 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 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 (+ (/ 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))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- 1 (* -1 (* sinTheta_O sinTheta_i)))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (- 1 (* -1 (* sinTheta_O sinTheta_i))))) (* 1/4 (/ (* (exp 6931/10000) (pow (- 1 (* -1 (* sinTheta_O sinTheta_i))) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v))
(* -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))))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)) (* 1/2 (exp (- 6931/10000 (/ 1 v)))))
(+ (* 1/2 (exp (- 6931/10000 (/ 1 v)))) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(+ (* 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)))))
(* 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)))))
(* 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))))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)) (* 1/2 (exp (- 6931/10000 (/ 1 v)))))
(+ (* 1/2 (exp (- 6931/10000 (/ 1 v)))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(+ (* 1/2 (exp (- 6931/10000 (/ 1 v)))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 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)))))
(* 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)))))
(* 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)))))
(* 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)))))
(* 1/2 (exp 6931/10000))
(+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000)))
(+ (* -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))))
(+ (* -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)))))
(* 1/2 (exp 6931/10000))
(+ (* -1/2 (/ (* (exp 6931/10000) (- 1 (* -1 (* sinTheta_O sinTheta_i)))) v)) (* 1/2 (exp 6931/10000)))
(+ (* -1 (/ (+ (* -1/4 (/ (* (exp 6931/10000) (pow (- 1 (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* 1/2 (* (exp 6931/10000) (- 1 (* -1 (* sinTheta_O sinTheta_i)))))) v)) (* 1/2 (exp 6931/10000)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* (exp 6931/10000) (pow (- 1 (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/4 (* (exp 6931/10000) (pow (- 1 (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* 1/2 (* (exp 6931/10000) (- 1 (* -1 (* sinTheta_O sinTheta_i)))))) v)) (* 1/2 (exp 6931/10000)))
(exp (- 6931/10000 (/ 1 v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(exp (- 6931/10000 (+ (/ 1 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))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (/ 1 v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))
(+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))
(exp (- 6931/10000 (+ (/ 1 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))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))
(+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (- 1 (* -1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (- 1 (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp 6931/10000) (- 1 (* -1 (* sinTheta_O sinTheta_i))))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (- 1 (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (- 1 (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp 6931/10000) (- 1 (* -1 (* sinTheta_O sinTheta_i))))) v)))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (* 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))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (* 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))))
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6931/10000
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6931/10000
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(/ (* cosTheta_O cosTheta_i) v)
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(* cosTheta_i (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)))
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(/ (* cosTheta_O cosTheta_i) v)
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (log (/ 1/2 v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (log (/ 1/2 v)) cosTheta_i)))))
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(* -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))))
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(/ (* cosTheta_O cosTheta_i) v)
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(* 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)
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
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(* -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)))
6931/10000
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
6931/10000
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)
(/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)
(/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)
6931/10000
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
6931/10000
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
Outputs
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (neg.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))))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (neg.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))))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (neg.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))))))
(/ 1 (exp (- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (neg.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))))))
(/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))
(exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))))
(- (+ (/ 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))))))
(-.f32 (+.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))))))
(- (+ (* -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))))))
(-.f32 (-.f32 (+.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)))) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (+.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (/.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))))))) (*.f32 v v))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))))))
(- (+ (* -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))))))
(-.f32 (-.f32 (+.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))))) (/.f32 (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))))) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (+.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (/.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))))))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)))) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (+.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (/.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))))))))) (*.f32 v (*.f32 v v)))) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)))) (*.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (*.f32 v v))) (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))))) (/.f32 (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (+.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (/.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))))))) (*.f32 v v)))))
(/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))
(exp.f32 (neg.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))))
(+ (* -1 (/ (- (+ (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (/ (* sinTheta_O sinTheta_i) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (/ (* cosTheta_O cosTheta_i) (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(-.f32 (exp.f32 (neg.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))) (/.f32 (+.f32 (exp.f32 (neg.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))))) v))
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(*.f32 sinTheta_i (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)) (/.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) sinTheta_i)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v sinTheta_i)))))
(* 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)))))
(*.f32 sinTheta_i (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)) (/.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) sinTheta_i)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v sinTheta_i)))))
(* 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)))))
(*.f32 sinTheta_i (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_i)) (/.f32 sinTheta_O v)) (/.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) sinTheta_i)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v sinTheta_i)))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 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)))))
(*.f32 (-.f32 (/.f32 (neg.f32 sinTheta_O) v) (/.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) sinTheta_i)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)))))
(*.f32 (-.f32 (/.f32 (neg.f32 sinTheta_O) v) (/.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) sinTheta_i)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_i)))))
(*.f32 (-.f32 (/.f32 (neg.f32 sinTheta_O) v) (/.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) sinTheta_i)) (neg.f32 sinTheta_i))
(- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
(- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(+.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))))
(- (+ (log (* 2 v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
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(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* 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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(* 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)))))
(*.f32 sinTheta_O (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)) (/.f32 sinTheta_i v)) (/.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) sinTheta_O)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v))))
(* 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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(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1 (/ (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))) sinTheta_O)))))
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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)))))
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1
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1
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1
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1
#s(literal 1 binary32)
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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))))
(*.f32 sinTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (-.f32 (/.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)) (/ (* 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 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 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 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 sinTheta_i) (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) sinTheta_i) (/.f32 sinTheta_O v))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (neg.f32 sinTheta_i) (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) sinTheta_i) (/.f32 sinTheta_O v))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (neg.f32 sinTheta_i) (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) sinTheta_i) (/.f32 sinTheta_O v))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (-.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 (+.f32 #s(literal 6931/10000 binary32) (-.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 (+.f32 #s(literal 6931/10000 binary32) (-.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 sinTheta_O (-.f32 #s(literal 0 binary32) (/.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 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v) (+.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 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v) (+.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 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O)) (/.f32 sinTheta_i v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.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 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)))
(/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (* 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)
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))

eval135.0ms (0.9%)

Compiler

Compiled 34463 to 3407 computations (90.1% saved)

prune133.0ms (0.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1468141482
Fresh325
Picked505
Done000
Total1476161492
Accuracy
99.9%
Counts
1492 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.9%
(/.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)))
90.4%
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) 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)
98.8%
(/.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))) (+.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 (pow.f32 (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)))))))
99.7%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))))))
▶99.8%
(/.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)))))
6.2%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
6.3%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
▶99.3%
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1/2 binary32) v))
91.5%
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
97.5%
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
12.4%
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
13.5%
(exp.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
99.4%
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
▶12.4%
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
▶6.4%
#s(literal 1 binary32)
Compiler

Compiled 738 to 448 computations (39.3% saved)

simplify185.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.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)))
✓cost-diff0
(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))))
✓cost-diff3200
(/.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)))))
✓cost-diff3200
(/.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)))
✓cost-diff64
(*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))
✓cost-diff64
(-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))
✓cost-diff64
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))))
✓cost-diff64
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (/.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
(log.f32 (*.f32 v #s(literal 2 binary32)))
✓cost-diff0
(-.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)))
✓cost-diff3200
(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))))
✓cost-diff3264
(/.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)))))
Rules
2806×*-lowering-*.f32
2806×*-lowering-*.f64
2010×sum3-define
1242×+-lowering-+.f64
1242×+-lowering-+.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
044438
1125404
2348403
31042403
43757402
08426402
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (exp (- (log (* v 2)) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000))))
1
(exp (- (log (* v 2)) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)))
(- (log (* v 2)) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000))
(log (* v 2))
(* v 2)
v
2
(+ (/ (- (* 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
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 (* (/ 1 v) (+ 1 (* sinTheta_i sinTheta_O))))) (/ 1/2 v))
(exp (- 6931/10000 (* (/ 1 v) (+ 1 (* sinTheta_i sinTheta_O)))))
(- 6931/10000 (* (/ 1 v) (+ 1 (* sinTheta_i sinTheta_O))))
6931/10000
(* (/ 1 v) (+ 1 (* sinTheta_i sinTheta_O)))
(/ 1 v)
1
v
(+ 1 (* sinTheta_i sinTheta_O))
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ 1/2 v)
1/2
(/ (/ (exp (/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))) (exp (/ 48038761/100000000 (+ (/ (- (- (* 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) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))) (exp (/ 48038761/100000000 (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))))
(exp (/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) 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) 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) v))
(/ (- (- (* 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
1
v
(+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000)
-6931/10000
(exp (/ 48038761/100000000 (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000)))
(/ 48038761/100000000 (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))
48038761/100000000
(* v 2)
2
Outputs
(/ 1 (exp (- (log (* v 2)) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
1
#s(literal 1 binary32)
(exp (- (log (* v 2)) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)))
(/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))
(- (log (* v 2)) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000))
(+.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)))
(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_O cosTheta_i) 1) v) 6931/10000)
(+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(- (* cosTheta_O cosTheta_i) 1)
(+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
6931/10000
#s(literal 6931/10000 binary32)
1
#s(literal 1 binary32)
(exp (* (neg sinTheta_O) (/ sinTheta_i v)))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(* (neg sinTheta_O) (/ sinTheta_i v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(neg sinTheta_O)
(neg.f32 sinTheta_O)
sinTheta_O
(/ sinTheta_i v)
(/.f32 sinTheta_i v)
sinTheta_i
v
(* (exp (- 6931/10000 (* (/ 1 v) (+ 1 (* sinTheta_i sinTheta_O))))) (/ 1/2 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 2 binary32)))
(exp (- 6931/10000 (* (/ 1 v) (+ 1 (* sinTheta_i sinTheta_O)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
(- 6931/10000 (* (/ 1 v) (+ 1 (* sinTheta_i sinTheta_O))))
(+.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)
(* (/ 1 v) (+ 1 (* sinTheta_i sinTheta_O)))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
v
(+ 1 (* sinTheta_i sinTheta_O))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
(/ (/ (exp (/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))) (exp (/ 48038761/100000000 (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000)))) (* v 2))
(/.f32 (exp.f32 (+.f32 (/.f32 (/.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 v v)) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) #s(literal -6931/10000 binary32))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v))))) (*.f32 v #s(literal 2 binary32)))
(/ (exp (/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))) (exp (/ 48038761/100000000 (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))))
(exp.f32 (+.f32 (/.f32 (/.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 v v)) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) #s(literal -6931/10000 binary32))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)))))
(exp (/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000)))
(exp.f32 (/.f32 (/.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 v v)) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) #s(literal -6931/10000 binary32))))
(/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))
(/.f32 (/.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 v v)) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) #s(literal -6931/10000 binary32)))
(* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v))
(/.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 v v))
(/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1)
(+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))
(- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
1
#s(literal 1 binary32)
v
(+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000)
(+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) #s(literal -6931/10000 binary32))
-6931/10000
#s(literal -6931/10000 binary32)
(exp (/ 48038761/100000000 (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000)))
(exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) #s(literal -6931/10000 binary32))))
(/ 48038761/100000000 (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))
(/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) #s(literal -6931/10000 binary32)))
48038761/100000000
#s(literal 48038761/100000000 binary32)
(* v 2)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)

localize209.0ms (1.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(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))))
✓accuracy99.2%
(*.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))
✓accuracy98.6%
(/.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)))
✓accuracy54.8%
(/.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)))
✓accuracy100.0%
(*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))
✓accuracy99.9%
(-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))
✓accuracy99.7%
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))))
✓accuracy99.6%
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1/2 binary32) v))
✓accuracy100.0%
(/.f32 sinTheta_i v)
✓accuracy100.0%
(neg.f32 sinTheta_O)
✓accuracy99.8%
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
✓accuracy99.3%
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
✓accuracy100.0%
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)
✓accuracy99.9%
(-.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)))
✓accuracy99.9%
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
✓accuracy99.8%
(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))))
Results
140.0ms256×0valid
Compiler

Compiled 480 to 45 computations (90.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-div: 24.0ms (26.2% of total)
ival-mult: 21.0ms (22.9% of total)
ival-exp: 15.0ms (16.3% of total)
...c/correct-round.rkt:119:19: 13.0ms (14.2% of total)
ival-sub: 8.0ms (8.7% of total)
ival-add: 4.0ms (4.4% of total)
ival-log: 4.0ms (4.4% of total)
const: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series231.0ms (1.5%)

Counts
20 → 804
Calls
Call 1
Inputs
#<alt (/ 1 (exp (- (log (* v 2)) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000))))>
#<alt (exp (- (log (* v 2)) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)))>
#<alt (- (log (* v 2)) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000))>
#<alt (log (* v 2))>
#<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 (* (/ 1 v) (+ 1 (* sinTheta_i sinTheta_O))))) (/ 1/2 v))>
#<alt (exp (- 6931/10000 (* (/ 1 v) (+ 1 (* sinTheta_i sinTheta_O)))))>
#<alt (- 6931/10000 (* (/ 1 v) (+ 1 (* sinTheta_i sinTheta_O))))>
#<alt (* (/ 1 v) (+ 1 (* sinTheta_i sinTheta_O)))>
#<alt (/ (/ (exp (/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))) (exp (/ 48038761/100000000 (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000)))) (* v 2))>
#<alt (/ (exp (/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))) (exp (/ 48038761/100000000 (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))))>
#<alt (exp (/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000)))>
#<alt (/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))>
#<alt (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ 48038761/100000000 (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))>
#<alt (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v))>
Outputs
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
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#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<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)>
#<alt (* -1 sinTheta_O)>
#<alt (* -1 sinTheta_O)>
#<alt (* -1 sinTheta_O)>
#<alt (* -1 sinTheta_O)>
#<alt (* -1 sinTheta_O)>
#<alt (* -1 sinTheta_O)>
#<alt (* -1 sinTheta_O)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (/ sinTheta_i v)>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)>
#<alt (/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000)))) v)>
#<alt (/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2))) (* 1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v))) v)) (* -1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2)))))>
#<alt (+ (exp 6931/10000) (+ (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (* 1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))))))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (exp (- 6931/10000 (/ 1 v)))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (/ 1 v)))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- 6931/10000 (/ 1 v))))) v)))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- 6931/10000 (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- 6931/10000 (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) 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 (* 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 (/ 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 (- 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 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))>
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#<alt (exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (+ (exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* -48038761/100000000 (/ (* v (exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* cosTheta_O cosTheta_i))))>
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#<alt (exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))>
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#<alt (exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt (exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))>
#<alt 1>
#<alt (+ 1 (* -10000/6931 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))))>
#<alt (+ 1 (+ (* -100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))) (* -10000/6931 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2)))))>
#<alt (+ 1 (+ (* -1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4) (pow v 4))) (+ (* -100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))) (+ (* -10000/6931 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (* 50000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4) (pow v 4)))))))>
#<alt 1>
#<alt (+ 1 (* -10000/6931 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))))>
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#<alt (+ 1 (+ (* -10000/6931 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1000000000000/332956652491 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4)) (* 50000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4))) v)) (* 100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))) (pow v 3)))))>
#<alt (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))>
#<alt (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))>
#<alt (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (* cosTheta_i (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))>
#<alt (* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (* (pow cosTheta_i 2) v))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (+ (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v)) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))))) (* cosTheta_O (pow cosTheta_i 3))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (* (pow cosTheta_i 2) v)))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)) cosTheta_i))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)))) (* cosTheta_O cosTheta_i))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)) cosTheta_i))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))>
#<alt (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))>
#<alt (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))>
#<alt (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))>
#<alt (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (* cosTheta_i (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))>
#<alt (* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (* cosTheta_i v))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (+ (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v)) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))))) (* (pow cosTheta_O 3) cosTheta_i)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (* cosTheta_i v)))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)) cosTheta_O))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)))) (* cosTheta_O cosTheta_i))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)) cosTheta_O))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))>
#<alt (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))>
#<alt (+ (* sinTheta_i (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))>
#<alt (+ (* sinTheta_i (- (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))>
#<alt (+ (* sinTheta_i (- (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_i (- (+ (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (* v (* (- (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 3)))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))>
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#<alt (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))>
#<alt (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))>
#<alt (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))>
#<alt (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))>
#<alt (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))>
#<alt (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))>
Calls

201 calls:

TimeVariablePointExpression
10.0ms
cosTheta_i
@-inf
(/ (/ (exp (/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))) (exp (/ 48038761/100000000 (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000)))) (* v 2))
8.0ms
sinTheta_i
@0
(/ (/ (exp (/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))) (exp (/ 48038761/100000000 (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000)))) (* v 2))
7.0ms
cosTheta_i
@0
(/ (/ (exp (/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))) (exp (/ 48038761/100000000 (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000)))) (* v 2))
7.0ms
cosTheta_O
@0
(/ (/ (exp (/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))) (exp (/ 48038761/100000000 (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000)))) (* v 2))
6.0ms
sinTheta_O
@0
(/ (/ (exp (/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))) (exp (/ 48038761/100000000 (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000)))) (* v 2))

rewrite341.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
2444×*-lowering-*.f32
2444×*-lowering-*.f64
2390×fma-lowering-fma.f32
2390×fma-lowering-fma.f64
1978×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044285
1291210
22649210
08290210
Stop Event
1×iter limit
1×node limit
Counts
20 → 511
Calls
Call 1
Inputs
(/ 1 (exp (- (log (* v 2)) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000))))
(exp (- (log (* v 2)) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)))
(- (log (* v 2)) (+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000))
(log (* v 2))
(exp (* (neg sinTheta_O) (/ sinTheta_i v)))
(* (neg sinTheta_O) (/ sinTheta_i v))
(neg sinTheta_O)
(/ sinTheta_i v)
(* (exp (- 6931/10000 (* (/ 1 v) (+ 1 (* sinTheta_i sinTheta_O))))) (/ 1/2 v))
(exp (- 6931/10000 (* (/ 1 v) (+ 1 (* sinTheta_i sinTheta_O)))))
(- 6931/10000 (* (/ 1 v) (+ 1 (* sinTheta_i sinTheta_O))))
(* (/ 1 v) (+ 1 (* sinTheta_i sinTheta_O)))
(/ (/ (exp (/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))) (exp (/ 48038761/100000000 (+ (/ (- (- (* 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) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))) (exp (/ 48038761/100000000 (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))))
(exp (/ (* (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) 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) v)) (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) -6931/10000))
(+ (/ (- (* cosTheta_O cosTheta_i) 1) v) 6931/10000)
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ 48038761/100000000 (+ (/ (- (- (* 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) v))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))))
(exp.f32 (neg.f32 (+.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) #s(literal -6931/10000 binary32))))
(exp.f32 (*.f32 (+.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) #s(literal -6931/10000 binary32)))
(pow.f32 (neg.f32 (/.f32 (*.f32 v #s(literal -2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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_O cosTheta_i) #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_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))))
(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 v #s(literal -2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v #s(literal -2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))))
(*.f32 (pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal -1/2 binary32)))
(exp.f32 (+.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) #s(literal -6931/10000 binary32)))
(exp.f32 (neg.f32 (neg.f32 (+.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) #s(literal -6931/10000 binary32)))))
(exp.f32 (neg.f32 (*.f32 (+.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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_O cosTheta_i) #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_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 v #s(literal 1/2 binary32))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 3 binary32)) (*.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (*.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 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 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 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 (log.f32 (/.f32 v #s(literal 1/2 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 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 v #s(literal 1/2 binary32))))
(/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))
(/.f32 (/.f32 v #s(literal 1/2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32))
(/.f32 (*.f32 v #s(literal -2 binary32)) (neg.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))))) (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (*.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) (+.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))))))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 2 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))) (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))))
(/.f32 (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(*.f32 v (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (neg.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(*.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))) (exp.f32 #s(literal -6931/10000 binary32)))
(*.f32 (exp.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))) (/.f32 v #s(literal 1/2 binary32)))
(neg.f32 (log.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))))
(neg.f32 (log.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (/.f32 v #s(literal 1/2 binary32)))))
(+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (neg.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))
(+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (log.f32 (exp.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))))
(+.f32 (+.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) #s(literal -6931/10000 binary32)) #s(literal 0 binary32))
(+.f32 (log.f32 v) (+.f32 (log.f32 #s(literal 2 binary32)) (neg.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32)))))
(+.f32 (log.f32 v) (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))
(+.f32 (neg.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))) (log.f32 (/.f32 v #s(literal 1/2 binary32))))
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(*.f32 #s(literal 1 binary32) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v))))
(*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)))
(*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v)))
(*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v) v))
(*.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(*.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(*.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 (neg.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))) (pow.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))))
(*.f32 (pow.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(*.f32 (exp.f32 (log.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))) (exp.f32 (log.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))

simplify976.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
5286×*-lowering-*.f32
5286×*-lowering-*.f64
3930×/-lowering-/.f32
3930×/-lowering-/.f64
3378×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0271155080
0810255080
Stop Event
1×iter limit
1×node limit
Counts
804 → 804
Calls
Call 1
Inputs
(/ 1 (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)) (+ 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) (* -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)))))
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(/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))
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1
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1
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1
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1
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(* -1 sinTheta_O)
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(* 1/2 (/ (exp 6931/10000) v))
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(exp 6931/10000)
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6931/10000
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6931/10000
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(/ (* sinTheta_O sinTheta_i) v)
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(+ (exp (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (* (exp (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))
(+ (exp (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (+ (* cosTheta_O (* (exp (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) 2))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* (exp (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))))
(+ (exp (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (+ (* cosTheta_O (+ (* cosTheta_O (* (exp (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (+ (* 1/6 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) 3)) (+ (* (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (/ (* cosTheta_i (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* (exp (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) 2))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))))) (* (exp (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(+ (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_i (* (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))
(+ (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_i (+ (* sinTheta_i (* (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))))))
(+ (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_i (+ (* sinTheta_i (+ (* sinTheta_i (* (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* 1/6 (pow (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))) 3)) (+ (* (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))) (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))) (/ (* sinTheta_O (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))) 2)) (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(+ (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_O (* (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))
(+ (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_O (+ (* sinTheta_O (* (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))))))
(+ (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_O (+ (* sinTheta_O (+ (* sinTheta_O (* (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (+ (* 1/6 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))) 3)) (+ (* (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))) (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))) (/ (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))))))) (* (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
1
(+ 1 (* -10000/6931 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))))
(+ 1 (+ (* -100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))) (* -10000/6931 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2)))))
(+ 1 (+ (* -1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4) (pow v 4))) (+ (* -100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))) (+ (* -10000/6931 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (* 50000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4) (pow v 4)))))))
1
(+ 1 (* -10000/6931 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))))
(+ 1 (+ (* -100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))) (* -10000/6931 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2)))))
(+ 1 (+ (* -10000/6931 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1000000000000/332956652491 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4)) (* 50000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4))) v)) (* 100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))) (pow v 3)))))
(* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (* cosTheta_i (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (* (pow cosTheta_i 2) v))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (+ (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v)) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))))) (* cosTheta_O (pow cosTheta_i 3))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (* (pow cosTheta_i 2) v)))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)) cosTheta_i))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)))) (* cosTheta_O cosTheta_i))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)) cosTheta_i))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (* cosTheta_i (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (* cosTheta_i v))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (+ (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v)) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))))) (* (pow cosTheta_O 3) cosTheta_i)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (* cosTheta_i v)))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)) cosTheta_O))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)))) (* cosTheta_O cosTheta_i))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)) cosTheta_O))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_i (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(+ (* sinTheta_i (- (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(+ (* sinTheta_i (- (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_i (- (+ (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (* v (* (- (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 3)))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (+ (/ (* v (* (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)))) (* sinTheta_O sinTheta_i)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v))) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))
(+ (* sinTheta_O (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
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(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (* sinTheta_i v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (* sinTheta_i v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (* v (* (- (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 3) sinTheta_i))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
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(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
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(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (* 48038761/100000000 (/ v (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (* v (+ (* 332956652491/1000000000000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* 48038761/100000000 (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
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(/ (+ (* -10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* -1 (/ (- (* 1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4) v)) (* -100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))) v))) (pow v 2))
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(* 48038761/100000000 (/ v (* cosTheta_O cosTheta_i)))
(/ (+ (* 48038761/100000000 (/ v cosTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O)
(/ (- (+ (* 48038761/100000000 (/ v cosTheta_i)) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) (pow cosTheta_i 3))))) (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O)
(/ (- (+ (* 48038761/100000000 (/ v cosTheta_i)) (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 3) (pow cosTheta_i 4))))) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))))) cosTheta_O)
(* 48038761/100000000 (/ v (* cosTheta_O cosTheta_i)))
(* -1 (/ (+ (* -48038761/100000000 (/ v cosTheta_i)) (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2))))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* cosTheta_O (pow cosTheta_i 3)))) (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_i 2)))) cosTheta_O)) (* -48038761/100000000 (/ v cosTheta_i))) cosTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* cosTheta_O (pow cosTheta_i 4)))) (* 48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (pow cosTheta_i 3)))) cosTheta_O)) (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (pow cosTheta_i 2)))) cosTheta_O)) (* -48038761/100000000 (/ v cosTheta_i))) cosTheta_O))
(/ 48038761/100000000 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))
(+ (* 48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(+ (* sinTheta_i (- (* 48038761/100000000 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))) (* -48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* 48038761/100000000 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 4)))) (* -48038761/100000000 (/ (pow sinTheta_O 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))))) (* -48038761/100000000 (/ sinTheta_O (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(* -48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(/ (+ (* -48038761/100000000 (/ v sinTheta_O)) (* -48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/ (- (+ (* -48038761/100000000 (/ v sinTheta_O)) (* -48038761/100000000 (/ (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2))))) (* 48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i)
(/ (- (+ (* -48038761/100000000 (/ v sinTheta_O)) (* -48038761/100000000 (/ (* (pow v 4) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3))))) (+ (* 48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))) sinTheta_i)
(* -48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(* -1 (/ (+ (* 48038761/100000000 (/ v sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i)))) sinTheta_i))
(* -1 (/ (+ (* -1 (/ (- (* -48038761/100000000 (/ (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)) (* (pow sinTheta_O 3) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 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 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)) (* (pow sinTheta_O 4) sinTheta_i))) (* -48038761/100000000 (/ (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)) (pow sinTheta_O 3)))) sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (pow sinTheta_O 2)))) sinTheta_i)) (* 48038761/100000000 (/ v sinTheta_O))) sinTheta_i))
(/ 48038761/100000000 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))
(+ (* 48038761/100000000 (/ (* sinTheta_O sinTheta_i) (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(+ (* sinTheta_O (- (* 48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))) (* -48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* 48038761/100000000 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 4)))) (* -48038761/100000000 (/ (pow sinTheta_i 2) (* (pow v 2) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)))))) (* -48038761/100000000 (/ sinTheta_i (* v (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* 48038761/100000000 (/ 1 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(* -48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(/ (+ (* -48038761/100000000 (/ v sinTheta_i)) (* -48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(/ (- (+ (* -48038761/100000000 (/ v sinTheta_i)) (* -48038761/100000000 (/ (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (* 48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
(/ (- (+ (* -48038761/100000000 (/ v sinTheta_i)) (* -48038761/100000000 (/ (* (pow v 4) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4))))) (+ (* 48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2)))) (* 48038761/100000000 (/ (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))) sinTheta_O)
(* -48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
(* -1 (/ (+ (* 48038761/100000000 (/ v sinTheta_i)) (* 48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O))
(* -1 (/ (+ (* -1 (/ (- (* -48038761/100000000 (/ (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)) (* sinTheta_O (pow sinTheta_i 3)))) (* 48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 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 (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)) (* sinTheta_O (pow sinTheta_i 4)))) (* -48038761/100000000 (/ (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)) (pow sinTheta_i 3)))) sinTheta_O)) (* 48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (pow sinTheta_i 2)))) sinTheta_O)) (* 48038761/100000000 (/ v sinTheta_i))) sinTheta_O))
(* 48038761/100000000 (/ v (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))
(* v (+ (* 332956652491/1000000000000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* 48038761/100000000 (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))))
(* v (+ (* v (+ (* 2307722558415121/10000000000000000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))) (* 332956652491/1000000000000 (/ 1 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))))) (* 48038761/100000000 (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))))
(* v (+ (* v (+ (* v (+ (* 15994825052375203651/100000000000000000000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4))) (* 2307722558415121/10000000000000000 (/ 1 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))))) (* 332956652491/1000000000000 (/ 1 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))))) (* 48038761/100000000 (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))))
-6931/10000
(- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (* 10000/6931 (/ (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) (pow v 2))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (* 100000000/48038761 (/ (* (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) (pow v 3))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (+ (* -10000/6931 (/ (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))
-6931/10000
(- (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) 6931/10000)
(- (* -1 (/ (- (* 10000/6931 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v)) (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)) 6931/10000)
(- (* -1 (/ (- (* -1 (/ (- (* -100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* 10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v)) (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)) 6931/10000)
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i)))) (pow v 2))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(+ (* cosTheta_i (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(+ (* cosTheta_i (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(* (pow cosTheta_i 2) (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_i (pow v 2)))) (/ (pow cosTheta_O 2) (pow v 2))))
(* (pow cosTheta_i 2) (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_i (pow v 2)))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_i 2) (pow v 2))))))
(* (pow cosTheta_i 2) (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_i (pow v 2)))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_i 2) (pow v 2))))))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(* (pow cosTheta_i 2) (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_i (pow v 2)))) (/ (pow cosTheta_O 2) (pow v 2))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i (pow v 2)))) (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2)))) cosTheta_i)) (/ (pow cosTheta_O 2) (pow v 2))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i (pow v 2)))) (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2)))) cosTheta_i)) (/ (pow cosTheta_O 2) (pow v 2))))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i)))) (pow v 2))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(+ (* cosTheta_O (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(+ (* cosTheta_O (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(* (pow cosTheta_O 2) (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_O (pow v 2)))) (/ (pow cosTheta_i 2) (pow v 2))))
(* (pow cosTheta_O 2) (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_O (pow v 2)))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (pow v 2))))))
(* (pow cosTheta_O 2) (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_O (pow v 2)))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (pow v 2))))))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(* (pow cosTheta_O 2) (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_O (pow v 2)))) (/ (pow cosTheta_i 2) (pow v 2))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (pow v 2)))) (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2)))) cosTheta_O)) (/ (pow cosTheta_i 2) (pow v 2))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (pow v 2)))) (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2)))) cosTheta_O)) (/ (pow cosTheta_i 2) (pow v 2))))
(/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))
(+ (* -2 (/ (* sinTheta_O (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1))) (pow v 2))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
(+ (* sinTheta_i (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
(+ (* sinTheta_i (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (pow v 2)))) (+ (/ (pow sinTheta_O 2) (pow v 2)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_i 2) (pow v 2))))))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (pow v 2)))) (+ (/ (pow sinTheta_O 2) (pow v 2)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_i 2) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i (pow v 2)))) (* 2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i (pow v 2)))) (* 2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))
(+ (* -2 (/ (* sinTheta_O (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1))) (pow v 2))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
(+ (* sinTheta_O (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
(+ (* sinTheta_O (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (pow v 2)))) (+ (/ (pow sinTheta_i 2) (pow v 2)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (pow v 2))))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (pow v 2)))) (+ (/ (pow sinTheta_i 2) (pow v 2)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (pow v 2))))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (pow v 2)))) (* 2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (pow v 2)))) (* 2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
Outputs
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (neg.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (neg.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (neg.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(exp.f32 (neg.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))))
(/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))
(exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (neg.f32 (neg.f32 (log.f32 v))) #s(literal 6931/10000 binary32)))))
(- (+ (/ 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)))))
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(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
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(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
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(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
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(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
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(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
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(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
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(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
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(exp (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
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(+ (exp (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (* (exp (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))))))
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(+ (exp (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (+ (* cosTheta_O (* (exp (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* 1/2 (pow (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)))) 2))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* (exp (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))))
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(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (*.f32 (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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i cosTheta_i)) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_i (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_i (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))) (neg.f32 (/.f32 (*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_i (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))))) (*.f32 (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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_i (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(exp.f32 (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(+ (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_i (* (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))
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#s(literal -1 binary32)))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v (*.f32 v v))) (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(exp.f32 (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(+ (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_O (* (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))))))
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(+ (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_O (+ (* sinTheta_O (* (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (- (+ (* 1/2 (pow (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2))))) 2)) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* (exp (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))))))
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#s(literal -1 binary32)))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v (*.f32 v v))) (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
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(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
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(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
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(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
(exp.f32 (/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
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(exp (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))))
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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
(+ 1 (* -10000/6931 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))))
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(+.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (*.f32 cosTheta_i (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (/.f32 (*.f32 cosTheta_O (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))))
(+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (+ (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_i (- (+ (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (* cosTheta_i (- (* -1 (/ (pow cosTheta_O 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_O (- (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_O (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (neg.f32 (/.f32 (*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))) (/.f32 (*.f32 cosTheta_O (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i))))
(*.f32 cosTheta_i (-.f32 (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)) (neg.f32 (/.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (* (pow cosTheta_i 2) v))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 cosTheta_i (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) v))) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) (/.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(* cosTheta_i (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (+ (/ cosTheta_O v) (+ (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v)) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O))))) (* cosTheta_O (pow cosTheta_i 3))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (* (pow cosTheta_i 2) v)))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* cosTheta_O (pow cosTheta_i 2)))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(*.f32 cosTheta_i (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)) (+.f32 (/.f32 (*.f32 (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 cosTheta_O v)) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) cosTheta_O)))) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) v)))) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) (/.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(*.f32 (*.f32 #s(literal -1 binary32) cosTheta_i) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)) cosTheta_i))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(*.f32 (*.f32 #s(literal -1 binary32) cosTheta_i) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 (neg.f32 (/.f32 (-.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 cosTheta_O v))) (/.f32 (*.f32 (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) cosTheta_O)) cosTheta_i)) (neg.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)))) (* cosTheta_O cosTheta_i))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_O)) cosTheta_i))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_i)))))
(*.f32 (*.f32 #s(literal -1 binary32) cosTheta_i) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 (neg.f32 (/.f32 (+.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 cosTheta_O v))) (-.f32 (/.f32 (*.f32 v (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.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 cosTheta_O v))) (/.f32 (*.f32 (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) cosTheta_O)))) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) cosTheta_O))) cosTheta_i)) (neg.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) cosTheta_i))))
(* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))
(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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_i (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))))
(+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_O (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (*.f32 cosTheta_O (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_i (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (/.f32 (*.f32 cosTheta_i (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))))
(+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (+ (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* cosTheta_O (- (+ (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_O (* cosTheta_i (- (* -1 (/ (pow cosTheta_i 2) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (* -1 (/ (* cosTheta_i (- (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))) (* v (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))))) (/ (* cosTheta_i (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2))))))
(+.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 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_O (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (*.f32 cosTheta_O (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_i cosTheta_i)) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_i (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (neg.f32 (/.f32 (*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v v) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 cosTheta_i (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))) (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))) (/.f32 (*.f32 cosTheta_i (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (*.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O))))
(*.f32 cosTheta_O (-.f32 (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)) (neg.f32 (/.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (* cosTheta_i v))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) v))) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i)) (/.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O)))))
(* cosTheta_O (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (+ (/ cosTheta_i v) (+ (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v)) (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i))))) (* (pow cosTheta_O 3) cosTheta_i)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (* cosTheta_i v)))))) (+ (* -1 (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) (* (pow cosTheta_O 2) cosTheta_i))) (* -1 (/ (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v)) (+.f32 (/.f32 (*.f32 (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 cosTheta_i v)) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) cosTheta_i)))) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) cosTheta_i)) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) v)))) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i)) (/.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O)))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(*.f32 (*.f32 #s(literal -1 binary32) cosTheta_O) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)) cosTheta_O))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(*.f32 (*.f32 #s(literal -1 binary32) cosTheta_O) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 (neg.f32 (/.f32 (-.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 cosTheta_i v))) (/.f32 (*.f32 (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) cosTheta_i)) cosTheta_O)) (neg.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (/ (- (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i v))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)))) (* cosTheta_O cosTheta_i))) (/ (* v (* (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (- (* -2 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))))) cosTheta_i)) cosTheta_O))) (* -1 (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) cosTheta_O)))))
(*.f32 (*.f32 #s(literal -1 binary32) cosTheta_O) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (-.f32 (neg.f32 (/.f32 (+.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 cosTheta_i v))) (-.f32 (/.f32 (*.f32 (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.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 cosTheta_i v))) (/.f32 (*.f32 (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) cosTheta_i))) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 (*.f32 v (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) cosTheta_i))) cosTheta_O)) (neg.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) cosTheta_O))))
(/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))
(/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_i (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
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(+ (* sinTheta_i (- (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v (*.f32 v v))) (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))) (*.f32 v (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))) (neg.f32 (/.f32 (/.f32 (*.f32 sinTheta_O (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v (*.f32 v v))) (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))))) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(+ (* sinTheta_i (- (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_i (- (+ (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_O 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (- (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* -1 (/ (* sinTheta_O (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))
(*.f32 sinTheta_i (+.f32 (neg.f32 (/.f32 sinTheta_O v)) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 sinTheta_i v)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v)))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ 1 (* sinTheta_i v)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
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(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (* (pow sinTheta_i 2) v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_i v))) (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ (* v (* (- (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 3)))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* sinTheta_O (pow sinTheta_i 2)))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))))
(*.f32 sinTheta_i (+.f32 (neg.f32 (/.f32 sinTheta_O v)) (-.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 sinTheta_O (*.f32 (*.f32 sinTheta_i sinTheta_i) v))) (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 sinTheta_i v))) (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i v))) (/.f32 (*.f32 v (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 sinTheta_O v)) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) v) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) sinTheta_O))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))))) (+.f32 (neg.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) v) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i v))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
(*.f32 (*.f32 #s(literal -1 binary32) sinTheta_i) (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) v) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) sinTheta_i)) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
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(* -1 (* sinTheta_i (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (+ (/ (* v (* (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)))) (* sinTheta_O sinTheta_i)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O v))) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_O)) sinTheta_i)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_i)) (/ sinTheta_O v))))
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(/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))
(/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(+ (* sinTheta_O (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(+.f32 (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v (*.f32 v v))) (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_O (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(+.f32 (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v (*.f32 v v))) (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))) (*.f32 v (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))) (neg.f32 (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v (*.f32 v v))) (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))))) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(+ (* sinTheta_O (- (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* sinTheta_O (- (+ (/ (* sinTheta_O (* sinTheta_i (- (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (/ (pow sinTheta_i 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (- (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (* v (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))))) (* -1 (/ (* sinTheta_i (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)))))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))))
(+.f32 (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (-.f32 (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v (*.f32 v v))) (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))) (*.f32 v (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))) (*.f32 v (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v (*.f32 v v))) (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))) (*.f32 v (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))))) (neg.f32 (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v (*.f32 v v))) (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))))) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v))))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))
(*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (-.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 sinTheta_O v)) (/.f32 #s(literal 6931/10000 binary32) sinTheta_O)) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (* sinTheta_i v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ 1 (* sinTheta_O v)))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(*.f32 sinTheta_O (-.f32 (+.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (neg.f32 (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) v)))) (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 sinTheta_O v)) (/.f32 #s(literal 6931/10000 binary32) sinTheta_O)) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v)))) (+.f32 (neg.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) v) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v)))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (* sinTheta_i v)))) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) (* sinTheta_O v))) (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ (* v (* (- (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v))) (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i))) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 3) sinTheta_i))))))) (+ (* -1 (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) (* (pow sinTheta_O 2) sinTheta_i))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))))
(*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i v)) (-.f32 (+.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) v))) (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 sinTheta_O v))) (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_O v))) (/.f32 (*.f32 v (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 sinTheta_i v)) (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) v) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) sinTheta_i))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)))) (+.f32 (neg.f32 (/.f32 (*.f32 v (*.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) v) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O v))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
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(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
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(* -1 (* sinTheta_O (+ (* -1 (/ (- (+ 6931/10000 (+ (* -1 (/ (- (+ (/ (* v (* (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) (- (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v)) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)))) (* sinTheta_O sinTheta_i)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i v))) (/ (* v (* (- (+ 6931/10000 (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v))) (/ (* cosTheta_O cosTheta_i) v)) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))))) sinTheta_i)) sinTheta_O)) (+ (* 2 (/ (- (* cosTheta_O cosTheta_i) 1) v)) (/ 1 v)))) (/ (* cosTheta_O cosTheta_i) v)) sinTheta_O)) (/ sinTheta_i v))))
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(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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 #s(literal 6931/10000 binary32) v) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (* 48038761/100000000 (/ v (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
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(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (* v (+ (* 332956652491/1000000000000 (/ v (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* 48038761/100000000 (/ 1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
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(* -10000/6931 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2)))
(/.f32 (*.f32 #s(literal -10000/6931 binary32) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(/ (+ (* -100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* -10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -100000000/48038761 binary32) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))))) v) (*.f32 #s(literal -10000/6931 binary32) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))))) (*.f32 v v))
(/ (- (+ (* -1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4) (pow v 2))) (* -10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* 100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1000000000000/332956652491 binary32) (pow.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) #s(literal 4 binary32))) (*.f32 v v)) (-.f32 (*.f32 #s(literal -10000/6931 binary32) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))) (/.f32 (*.f32 #s(literal 100000000/48038761 binary32) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))))) v))) (*.f32 v v))
(/ (- (+ (* -10000000000000000/2307722558415121 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 5) (pow v 3))) (* -10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (+ (* 100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* 1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4) (pow v 2))))) (pow v 2))
(/.f32 (-.f32 (+.f32 (/.f32 (*.f32 #s(literal -10000000000000000/2307722558415121 binary32) (pow.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) #s(literal 5 binary32))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal -10000/6931 binary32) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))))) (+.f32 (/.f32 (*.f32 #s(literal 100000000/48038761 binary32) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))))) v) (/.f32 (*.f32 #s(literal 1000000000000/332956652491 binary32) (pow.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) #s(literal 4 binary32))) (*.f32 v v)))) (*.f32 v v))
(* -10000/6931 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2)))
(/.f32 (*.f32 #s(literal -10000/6931 binary32) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 v v))
(/ (+ (* -100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* -10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -100000000/48038761 binary32) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))))) v) (*.f32 #s(literal -10000/6931 binary32) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))))) (*.f32 v v))
(/ (+ (* -10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* -1 (/ (- (* 1000000000000/332956652491 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4) v)) (* -100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))) v))) (pow v 2))
(/.f32 (+.f32 (*.f32 #s(literal -10000/6931 binary32) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1000000000000/332956652491 binary32) (pow.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) #s(literal 4 binary32))) v) (*.f32 #s(literal 100000000/48038761 binary32) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))))) v))) (*.f32 v v))
(/ (+ (* -10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (* -1 (/ (- (* -1 (/ (- (* -10000000000000000/2307722558415121 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 5) v)) (* 1000000000000/332956652491 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 4))) v)) (* -100000000/48038761 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3))) v))) (pow v 2))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
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(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O)))))
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
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(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
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(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* 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 (/ 1 v)) cosTheta_i)))))
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(*.f32 (*.f32 #s(literal -1 binary32) cosTheta_i) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i)))))
(*.f32 (*.f32 #s(literal -1 binary32) cosTheta_i) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 cosTheta_O v) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) cosTheta_i))))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
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(/ (- (+ (* 48038761/100000000 (/ v cosTheta_i)) (* 48038761/100000000 (/ (* (pow v 4) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 3)) (* (pow cosTheta_O 3) (pow cosTheta_i 4))))) (+ (* -48038761/100000000 (/ (* (pow v 2) (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (pow cosTheta_i 2)))) (* -48038761/100000000 (/ (* (pow v 3) (pow (+ 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) 2)) (* (pow cosTheta_O 2) (pow cosTheta_i 3)))))) cosTheta_O)
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(* 48038761/100000000 (/ v (* cosTheta_O cosTheta_i)))
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(* -48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
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(/ (- (+ (* -48038761/100000000 (/ v sinTheta_O)) (* -48038761/100000000 (/ (* (pow v 4) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)) (* (pow sinTheta_O 4) (pow sinTheta_i 3))))) (+ (* 48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* (pow sinTheta_O 2) sinTheta_i))) (* 48038761/100000000 (/ (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)) (* (pow sinTheta_O 3) (pow sinTheta_i 2)))))) sinTheta_i)
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(* -48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
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(* -48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
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(/ (+ (* -48038761/100000000 (/ v sinTheta_i)) (* -48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
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(/ (- (+ (* -48038761/100000000 (/ v sinTheta_i)) (* -48038761/100000000 (/ (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3))))) (* 48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2))))) sinTheta_O)
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(/ (- (+ (* -48038761/100000000 (/ v sinTheta_i)) (* -48038761/100000000 (/ (* (pow v 4) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 3)) (* (pow sinTheta_O 3) (pow sinTheta_i 4))))) (+ (* 48038761/100000000 (/ (* (pow v 2) (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v)))) (* sinTheta_O (pow sinTheta_i 2)))) (* 48038761/100000000 (/ (* (pow v 3) (pow (- (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ 1 v))) 2)) (* (pow sinTheta_O 2) (pow sinTheta_i 3)))))) sinTheta_O)
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(* -48038761/100000000 (/ v (* sinTheta_O sinTheta_i)))
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(* 48038761/100000000 (/ v (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))
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(- (+ (* 100000000/48038761 (/ (* (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) (pow v 3))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) (+ 6931/10000 (+ (* -10000/6931 (/ (* (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))
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-6931/10000
#s(literal -6931/10000 binary32)
(- (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) 6931/10000)
(+.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal -6931/10000 binary32))
(- (* -1 (/ (- (* 10000/6931 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v)) (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)) 6931/10000)
(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 10000/6931 binary32) (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))) v) (*.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))))) v) #s(literal -6931/10000 binary32))
(- (* -1 (/ (- (* -1 (/ (- (* -100000000/48038761 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* 10000/6931 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v)) (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) v)) 6931/10000)
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(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
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(+ (* cosTheta_i (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(+.f32 (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 cosTheta_O (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 v v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_i) (*.f32 v v)))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v)))
(+ (* cosTheta_i (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* (pow cosTheta_O 2) cosTheta_i) (pow v 2)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
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(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))
(* (pow cosTheta_i 2) (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_i (pow v 2)))) (/ (pow cosTheta_O 2) (pow v 2))))
(*.f32 (*.f32 cosTheta_i cosTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 cosTheta_O (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 cosTheta_i (*.f32 v v))) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))))
(* (pow cosTheta_i 2) (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_i (pow v 2)))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_i 2) (pow v 2))))))
(*.f32 (*.f32 cosTheta_i cosTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 cosTheta_O (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 cosTheta_i (*.f32 v v))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v)) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))))
(* (pow cosTheta_i 2) (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_i (pow v 2)))) (+ (/ (pow cosTheta_O 2) (pow v 2)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_i 2) (pow v 2))))))
(*.f32 (*.f32 cosTheta_i cosTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 cosTheta_O (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 cosTheta_i (*.f32 v v))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v)) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))
(* (pow cosTheta_i 2) (+ (* -2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_i (pow v 2)))) (/ (pow cosTheta_O 2) (pow v 2))))
(*.f32 (*.f32 cosTheta_i cosTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 cosTheta_O (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 cosTheta_i (*.f32 v v))) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i (pow v 2)))) (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2)))) cosTheta_i)) (/ (pow cosTheta_O 2) (pow v 2))))
(*.f32 (*.f32 cosTheta_i cosTheta_i) (+.f32 (neg.f32 (/.f32 (+.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 cosTheta_i (*.f32 v v)))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v)))) cosTheta_i)) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))))
(* (pow cosTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_i (pow v 2)))) (* 2 (/ (* cosTheta_O (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2)))) cosTheta_i)) (/ (pow cosTheta_O 2) (pow v 2))))
(*.f32 (*.f32 cosTheta_i cosTheta_i) (+.f32 (neg.f32 (/.f32 (+.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 cosTheta_i (*.f32 v v)))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_O (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v)))) cosTheta_i)) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))))
(/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i)))) (pow v 2))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v)))
(+ (* cosTheta_O (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(+.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v)))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v)))
(+ (* cosTheta_O (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (pow cosTheta_i 2)) (pow v 2)))) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (pow v 2)))
(+.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v)))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v)))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))
(* (pow cosTheta_O 2) (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_O (pow v 2)))) (/ (pow cosTheta_i 2) (pow v 2))))
(*.f32 (*.f32 cosTheta_O cosTheta_O) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 cosTheta_i (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O (*.f32 v v))))) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))
(* (pow cosTheta_O 2) (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_O (pow v 2)))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (pow v 2))))))
(*.f32 (*.f32 cosTheta_O cosTheta_O) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 cosTheta_i (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O (*.f32 v v))))) (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v)) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))))))
(* (pow cosTheta_O 2) (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_O (pow v 2)))) (+ (/ (pow cosTheta_i 2) (pow v 2)) (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow cosTheta_O 2) (pow v 2))))))
(*.f32 (*.f32 cosTheta_O cosTheta_O) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 cosTheta_i (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O (*.f32 v v))))) (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v)) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v))))))
(/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))
(* (pow cosTheta_O 2) (+ (* -2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (* cosTheta_O (pow v 2)))) (/ (pow cosTheta_i 2) (pow v 2))))
(*.f32 (*.f32 cosTheta_O cosTheta_O) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 cosTheta_i (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O (*.f32 v v))))) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (pow v 2)))) (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2)))) cosTheta_O)) (/ (pow cosTheta_i 2) (pow v 2))))
(*.f32 (*.f32 cosTheta_O cosTheta_O) (+.f32 (neg.f32 (/.f32 (+.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 cosTheta_O (*.f32 v v)))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v)))) cosTheta_O)) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))
(* (pow cosTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* cosTheta_O (pow v 2)))) (* 2 (/ (* cosTheta_i (+ 1 (* sinTheta_O sinTheta_i))) (pow v 2)))) cosTheta_O)) (/ (pow cosTheta_i 2) (pow v 2))))
(*.f32 (*.f32 cosTheta_O cosTheta_O) (+.f32 (neg.f32 (/.f32 (+.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 cosTheta_O (*.f32 v v)))) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 cosTheta_i (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v)))) cosTheta_O)) (/.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 v v))))
(/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))
(/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 v v))
(+ (* -2 (/ (* sinTheta_O (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1))) (pow v 2))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
(+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))))) (*.f32 v v)) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 v v)))
(+ (* sinTheta_i (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
(+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v v)) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v)))) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 v v)))
(+ (* sinTheta_i (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (pow v 2))) (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2)))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
(+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v v)) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) (*.f32 v v)))) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 v v)))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 sinTheta_i (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v))))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (pow v 2)))) (+ (/ (pow sinTheta_O 2) (pow v 2)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_i 2) (pow v 2))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 sinTheta_i (*.f32 v v))) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (/.f32 (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)))))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (pow v 2)))) (+ (/ (pow sinTheta_O 2) (pow v 2)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_i 2) (pow v 2))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 sinTheta_i (*.f32 v v))) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (/.f32 (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))
(* (pow sinTheta_i 2) (+ (* -2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_i (pow v 2)))) (/ (pow sinTheta_O 2) (pow v 2))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 sinTheta_i (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i (pow v 2)))) (* 2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 sinTheta_i (*.f32 v v)))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v v)))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_i (pow v 2)))) (* 2 (/ (* sinTheta_O (- (* cosTheta_O cosTheta_i) 1)) (pow v 2)))) sinTheta_i)) (/ (pow sinTheta_O 2) (pow v 2))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 sinTheta_i (*.f32 v v)))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 sinTheta_O (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v v)))) sinTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v))))
(/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2))
(/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 v v))
(+ (* -2 (/ (* sinTheta_O (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1))) (pow v 2))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
(+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))))) (*.f32 v v)) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 v v)))
(+ (* sinTheta_O (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
(+.f32 (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v v)) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)))) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 v v)))
(+ (* sinTheta_O (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (pow v 2))) (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2)))) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (pow v 2)))
(+.f32 (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v v)) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)))) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 v v)))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) (pow v 2))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 sinTheta_O (*.f32 v v))) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (pow v 2)))) (+ (/ (pow sinTheta_i 2) (pow v 2)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (pow v 2))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 sinTheta_O (*.f32 v v))) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)))))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (pow v 2)))) (+ (/ (pow sinTheta_i 2) (pow v 2)) (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* (pow sinTheta_O 2) (pow v 2))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 sinTheta_O (*.f32 v v))) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))) (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)))))
(/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))
(/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))
(* (pow sinTheta_O 2) (+ (* -2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (* sinTheta_O (pow v 2)))) (/ (pow sinTheta_i 2) (pow v 2))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 sinTheta_O (*.f32 v v))) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (pow v 2)))) (* 2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 sinTheta_O (*.f32 v v)))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v v))) sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- (* cosTheta_O cosTheta_i) 1) 2) (* sinTheta_O (pow v 2)))) (* 2 (/ (* sinTheta_i (- (* cosTheta_O cosTheta_i) 1)) (pow v 2)))) sinTheta_O)) (/ (pow sinTheta_i 2) (pow v 2))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 sinTheta_O (*.f32 v v)))) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 v v))) sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))
(/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))
(/.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v))

eval505.0ms (3.3%)

Compiler

Compiled 99008 to 5257 computations (94.7% saved)

prune178.0ms (1.2%)

Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New130871315
Fresh3811
Picked325
Done000
Total1314171331
Accuracy
99.9%
Counts
1331 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -6931/10000 binary32)) v))) (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)))
▶90.4%
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) v)
99.8%
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))))
99.7%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))))))
▶99.8%
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
6.2%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
▶6.3%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
98.9%
(*.f32 (/.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)))) (exp.f32 (/.f32 (/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (+.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 1/2 binary32) v))
48.1%
(*.f32 (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (*.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)))))) (exp.f32 (/.f32 (*.f32 (/.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)) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)) (+.f32 #s(literal 48038761/100000000 binary32) (*.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))))))) (/.f32 #s(literal 1/2 binary32) v))
▶99.3%
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) 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))
97.5%
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
▶12.4%
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
13.5%
(exp.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
99.4%
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓12.4%
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
✓6.4%
#s(literal 1 binary32)
Compiler

Compiled 802 to 491 computations (38.8% saved)

simplify206.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
✓cost-diff3264
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
✓cost-diff3264
(*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
✓cost-diff3264
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) v)
✓cost-diff0
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32))
✓cost-diff0
(exp.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32)))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32))))
✓cost-diff64
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
✓cost-diff-32
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓cost-diff-32
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
✓cost-diff0
(neg.f32 v)
✓cost-diff0
(*.f32 sinTheta_i sinTheta_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
(log.f32 (*.f32 v #s(literal 2 binary32)))
✓cost-diff0
(-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
✓cost-diff3200
(exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
✓cost-diff3264
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
Rules
2382×*-lowering-*.f32
2382×*-lowering-*.f64
1860×sum4-define
1550×fnmadd-define
1540×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039239
198226
2221215
3606215
41633215
54907215
08246215
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (exp (- (log (* v 2)) (- 6931/10000 (/ 1 v)))))
1
(exp (- (log (* v 2)) (- 6931/10000 (/ 1 v))))
(- (log (* v 2)) (- 6931/10000 (/ 1 v)))
(log (* v 2))
(* v 2)
v
2
(- 6931/10000 (/ 1 v))
6931/10000
(/ 1 v)
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
1
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(exp (/ (* sinTheta_i sinTheta_O) (neg v)))
(/ (* sinTheta_i sinTheta_O) (neg v))
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(neg v)
v
(* (/ 1 (exp (- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000))) (/ 1/2 v))
(/ 1 (exp (- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000)))
1
(exp (- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000))
(- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(+ 1 (* sinTheta_O sinTheta_i))
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
6931/10000
(/ 1/2 v)
1/2
(/ (* 1/2 (* (exp (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))) (/ 1 (exp (/ 1 v))))) v)
(* 1/2 (* (exp (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))) (/ 1 (exp (/ 1 v)))))
1/2
(* (exp (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))) (/ 1 (exp (/ 1 v))))
(exp (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v)))
(- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))
6931/10000
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(/ 1 (exp (/ 1 v)))
1
(exp (/ 1 v))
(/ 1 v)
Outputs
(/ 1 (exp (- (log (* v 2)) (- 6931/10000 (/ 1 v)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
1
#s(literal 1 binary32)
(exp (- (log (* v 2)) (- 6931/10000 (/ 1 v))))
(/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(- (log (* v 2)) (- 6931/10000 (/ 1 v)))
(+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) 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)
(- 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 (/ (* 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 (/ (* sinTheta_i sinTheta_O) (neg v)))
(exp.f32 (*.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v))))
(/ (* sinTheta_i sinTheta_O) (neg v))
(*.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(neg v)
(neg.f32 v)
v
(* (/ 1 (exp (- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000))) (/ 1/2 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 (exp (- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)))
1
#s(literal 1 binary32)
(exp (- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000))
(exp.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -6931/10000 binary32)))
(- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000)
(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -6931/10000 binary32))
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)
(+ 1 (* sinTheta_O sinTheta_i))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
sinTheta_i
v
6931/10000
#s(literal 6931/10000 binary32)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
(/ (* 1/2 (* (exp (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))) (/ 1 (exp (/ 1 v))))) v)
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(* 1/2 (* (exp (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))) (/ 1 (exp (/ 1 v)))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
1/2
#s(literal 1/2 binary32)
(* (exp (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))) (/ 1 (exp (/ 1 v))))
(exp.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v)))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ (* 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
v
(/ 1 (exp (/ 1 v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
1
#s(literal 1 binary32)
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)

localize165.0ms (1.1%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(exp.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy99.6%
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓accuracy95.4%
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
✓accuracy78.5%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy100.0%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
✓accuracy99.9%
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32))
✓accuracy99.7%
(exp.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32)))
✓accuracy99.6%
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
✓accuracy100.0%
(*.f32 sinTheta_i sinTheta_O)
✓accuracy100.0%
(neg.f32 v)
✓accuracy99.8%
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
✓accuracy78.5%
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓accuracy100.0%
(*.f32 cosTheta_O cosTheta_i)
✓accuracy99.9%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓accuracy76.8%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓accuracy100.0%
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
✓accuracy99.9%
(-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
✓accuracy99.9%
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
✓accuracy99.8%
(exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
Results
106.0ms244×0valid
5.0ms12×0unsamplable
Compiler

Compiled 263 to 40 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 17.0ms (27.2% of total)
ival-mult: 11.0ms (17.6% of total)
ival-exp: 10.0ms (16% of total)
...c/correct-round.rkt:119:19: 7.0ms (11.2% of total)
ival-add: 6.0ms (9.6% of total)
ival-sub: 6.0ms (9.6% of total)
ival-log: 4.0ms (6.4% of total)
const: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series124.0ms (0.8%)

Counts
24 → 648
Calls
Call 1
Inputs
#<alt (/ 1 (exp (- (log (* v 2)) (- 6931/10000 (/ 1 v)))))>
#<alt (exp (- (log (* v 2)) (- 6931/10000 (/ 1 v))))>
#<alt (- (log (* v 2)) (- 6931/10000 (/ 1 v)))>
#<alt (log (* v 2))>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* sinTheta_i sinTheta_O)>
#<alt (neg v)>
#<alt (exp (/ (* sinTheta_i sinTheta_O) (neg v)))>
#<alt (/ (* sinTheta_i sinTheta_O) (neg v))>
#<alt (* (/ 1 (exp (- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000))) (/ 1/2 v))>
#<alt (/ 1 (exp (- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000)))>
#<alt (exp (- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000))>
#<alt (- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000)>
#<alt (/ (* 1/2 (* (exp (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))) (/ 1 (exp (/ 1 v))))) v)>
#<alt (* 1/2 (* (exp (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))) (/ 1 (exp (/ 1 v)))))>
#<alt (* (exp (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))) (/ 1 (exp (/ 1 v))))>
#<alt (/ 1 (exp (/ 1 v)))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (* sinTheta_i sinTheta_O) v)>
#<alt (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))>
#<alt (exp (/ 1 v))>
Outputs
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))>
#<alt (- (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))>
#<alt (- (+ (/ 1/2 (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))>
#<alt (- (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (* 1/2 (/ 1 (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))) (+ (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (* 1/6 (/ 1 (* (pow v 3) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))))>
#<alt (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))>
#<alt (- (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))>
#<alt (+ (* -1 (/ (- (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* 1/2 (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/6 (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))>
#<alt (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))>
#<alt (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))>
#<alt (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))>
#<alt (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))>
#<alt (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))>
#<alt (+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))>
#<alt (+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v)))>
#<alt (+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/6 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 3))) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))))>
#<alt (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))>
#<alt (+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))>
#<alt (+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1/2 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))) v)))>
#<alt (+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1 (/ (+ (* 1/6 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v)) (* 1/2 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v))) v)))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)>
#<alt (/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)>
#<alt (/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)>
#<alt (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)>
#<alt (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)>
#<alt (+ (log 2) (log v))>
#<alt (+ (log 2) (log v))>
#<alt (+ (log 2) (log v))>
#<alt (+ (log 2) (log v))>
#<alt (+ (log 2) (* -1 (log (/ 1 v))))>
#<alt (+ (log 2) (* -1 (log (/ 1 v))))>
#<alt (+ (log 2) (* -1 (log (/ 1 v))))>
#<alt (+ (log 2) (* -1 (log (/ 1 v))))>
#<alt (+ (log -2) (* -1 (log (/ -1 v))))>
#<alt (+ (log -2) (* -1 (log (/ -1 v))))>
#<alt (+ (log -2) (* -1 (log (/ -1 v))))>
#<alt (+ (log -2) (* -1 (log (/ -1 v))))>
#<alt 1>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))>
#<alt 1>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (+ (/ 1 cosTheta_i) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (/ 1 cosTheta_i) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (/ 1 cosTheta_i) (/ cosTheta_O v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (- (* -1 (/ cosTheta_O v)) (/ 1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_i (- (* -1 (/ cosTheta_O v)) (/ 1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_i (- (* -1 (/ cosTheta_O v)) (/ 1 cosTheta_i))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (+ v (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ v (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ v (* cosTheta_O cosTheta_i)) v)>
#<alt 1>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt 1>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ 1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
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#<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)>
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#<alt (* sinTheta_O sinTheta_i)>
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#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt (* -1 v)>
#<alt 1>
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#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
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#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ 1/2 (* v (exp (- (/ 1 v) 6931/10000))))>
#<alt (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) 6931/10000))))))>
#<alt (+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) 6931/10000)))))))) (* 1/2 (/ sinTheta_i (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) 6931/10000))))))>
#<alt (+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))) v)) (+ (* -1/4 (/ (pow sinTheta_i 3) (* (pow v 4) (exp (- (/ 1 v) 6931/10000))))) (* 1/12 (/ (pow sinTheta_i 3) (* (pow v 4) (exp (- (/ 1 v) 6931/10000))))))))) (+ (* -1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (pow sinTheta_i 2) (* (pow v 3) (exp (- (/ 1 v) 6931/10000)))))))) (* 1/2 (/ sinTheta_i (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) 6931/10000))))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (/ 1 v) 6931/10000))))>
#<alt (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) 6931/10000))))))>
#<alt (+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) 6931/10000)))))))) (* 1/2 (/ sinTheta_O (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) 6931/10000))))))>
#<alt (+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))) v)) (+ (* -1/4 (/ (pow sinTheta_O 3) (* (pow v 4) (exp (- (/ 1 v) 6931/10000))))) (* 1/12 (/ (pow sinTheta_O 3) (* (pow v 4) (exp (- (/ 1 v) 6931/10000))))))))) (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (- (/ 1 v) 6931/10000)))))))) (* 1/2 (/ sinTheta_O (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) (* 1/2 (/ 1 (* v (exp (- (/ 1 v) 6931/10000))))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
#<alt (/ 1/2 (* v (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000))))>
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#<alt (/ 1/2 (* v (exp -6931/10000)))>
#<alt (/ (+ (* -1/2 (/ (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000)))) (pow v 2))) (+ (* -1/2 (/ (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) v)) (* 1/2 (/ 1 (exp -6931/10000))))) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000)))))) (+ (* -1/2 (* (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))))) (* 1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (exp -6931/10000))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000)))) (pow v 2))) (+ (* -1/2 (/ (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) v)) (* 1/2 (/ 1 (exp -6931/10000)))))) v)>
#<alt (/ 1/2 (* v (exp -6931/10000)))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* v (exp -6931/10000)))) (* 1/2 (/ 1 (exp -6931/10000)))) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1/2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (exp -6931/10000))) (* -1/2 (/ (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000)))) v))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (exp -6931/10000))) (+ (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (exp -6931/10000))) (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))))))) v)) (* 1/2 (+ (* -1 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000)))))) v)) (* -1/2 (/ (+ 1 (* sinTheta_O sinTheta_i)) (exp -6931/10000)))) v)) (* 1/2 (/ 1 (exp -6931/10000)))) v))>
#<alt (/ 1 (exp (- (/ 1 v) 6931/10000)))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* v (exp (- (/ 1 v) 6931/10000))))) (/ 1 (exp (- (/ 1 v) 6931/10000))))>
#<alt (+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (/ 1 v) 6931/10000)))))))) (/ sinTheta_i (* v (exp (- (/ 1 v) 6931/10000)))))) (/ 1 (exp (- (/ 1 v) 6931/10000))))>
#<alt (+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) v)) (+ (* -1/2 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/6 (/ (pow sinTheta_i 3) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))) (+ (* -1 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (exp (- (/ 1 v) 6931/10000)))))))) (/ sinTheta_i (* v (exp (- (/ 1 v) 6931/10000)))))) (/ 1 (exp (- (/ 1 v) 6931/10000))))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (/ 1 v) 6931/10000)))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* v (exp (- (/ 1 v) 6931/10000))))) (/ 1 (exp (- (/ 1 v) 6931/10000))))>
#<alt (+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) 6931/10000)))))))) (/ sinTheta_O (* v (exp (- (/ 1 v) 6931/10000)))))) (/ 1 (exp (- (/ 1 v) 6931/10000))))>
#<alt (+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))))) v)) (+ (* -1/2 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))) (* 1/6 (/ (pow sinTheta_O 3) (* (pow v 3) (exp (- (/ 1 v) 6931/10000))))))))) (+ (* -1 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) 6931/10000))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (exp (- (/ 1 v) 6931/10000)))))))) (/ sinTheta_O (* v (exp (- (/ 1 v) 6931/10000)))))) (/ 1 (exp (- (/ 1 v) 6931/10000))))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (/ 1 (exp -6931/10000))>
#<alt (+ (* -1 (/ (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))) v)) (/ 1 (exp -6931/10000)))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000)))) (pow v 2))) (/ 1 (exp -6931/10000))) (+ (/ 1 (* v (exp -6931/10000))) (/ (* sinTheta_O sinTheta_i) (* v (exp -6931/10000)))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (* -1 (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))))) (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (exp -6931/10000)))))) (+ (* -1/2 (* (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000))))) (* 1/6 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 3) (exp -6931/10000))))) (pow v 3))) (/ 1 (exp -6931/10000))) (+ (* -1 (/ (* (+ 1 (* sinTheta_O sinTheta_i)) (+ (/ 1 (exp -6931/10000)) (/ (* sinTheta_O sinTheta_i) (exp -6931/10000)))) (pow v 2))) (+ (* 1/2 (/ (pow (+ 1 (* sinTheta_O sinTheta_i)) 2) (* (pow v 2) (exp -6931/10000)))) (+ (/ 1 (* v (exp -6931/10000))) (/ (* sinTheta_O sinTheta_i) (* v (exp -6931/10000)))))))>
#<alt (/ 1 (exp -6931/10000))>
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#<alt (/ (exp 6931/10000) (exp (/ 1 v)))>
#<alt (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp 6931/10000))) (* v (exp (/ 1 v))))) (/ (exp 6931/10000) (exp (/ 1 v))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp 6931/10000)) (* v (exp (/ 1 v))))) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp 6931/10000))) (* (pow v 2) (exp (/ 1 v))))))) (/ (exp 6931/10000) (exp (/ 1 v))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp 6931/10000)) (* v (exp (/ 1 v))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp 6931/10000))) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp 6931/10000)) (* (pow v 2) (exp (/ 1 v))))))))) (/ (exp 6931/10000) (exp (/ 1 v))))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp 6931/10000) (exp (/ 1 v)))>
#<alt (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp 6931/10000))) (* v (exp (/ 1 v))))) (/ (exp 6931/10000) (exp (/ 1 v))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp 6931/10000)) (* v (exp (/ 1 v))))) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp 6931/10000))) (* (pow v 2) (exp (/ 1 v))))))) (/ (exp 6931/10000) (exp (/ 1 v))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp 6931/10000)) (* v (exp (/ 1 v))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp 6931/10000))) (* (pow v 3) (exp (/ 1 v))))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp 6931/10000)) (* (pow v 2) (exp (/ 1 v))))))))) (/ (exp 6931/10000) (exp (/ 1 v))))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (/ (exp (- 6931/10000 (/ (* sinTheta_O sinTheta_i) v))) (exp (/ 1 v)))>
#<alt (exp 6931/10000)>
#<alt (- (+ (exp 6931/10000) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp 6931/10000))) v))) (/ (exp 6931/10000) v))>
#<alt (- (+ (exp 6931/10000) (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp 6931/10000))) v)) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp 6931/10000))) (pow v 2))) (/ (exp 6931/10000) (pow v 2))))) (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp 6931/10000))) (pow v 2))) (+ (* 1/2 (/ (exp 6931/10000) (pow v 2))) (/ (exp 6931/10000) v))))>
#<alt (- (+ (exp 6931/10000) (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp 6931/10000))) v)) (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp 6931/10000))) (pow v 3))) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (exp 6931/10000))) (pow v 3))) (+ (* 1/2 (/ (exp 6931/10000) (pow v 3))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp 6931/10000))) (pow v 2))) (/ (exp 6931/10000) (pow v 2)))))))) (+ (* -1 (/ (* sinTheta_O (* sinTheta_i (exp 6931/10000))) (pow v 2))) (+ (* 1/6 (/ (exp 6931/10000) (pow v 3))) (+ (* 1/2 (/ (exp 6931/10000) (pow v 2))) (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp 6931/10000))) (pow v 3))) (+ (* 1/2 (/ (- (* -1 (* sinTheta_O (* sinTheta_i (exp 6931/10000)))) (exp 6931/10000)) (pow v 3))) (+ (/ (exp 6931/10000) v) (/ (exp 6931/10000) (pow v 3)))))))))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (* -1 (/ (- (* sinTheta_O (* sinTheta_i (exp 6931/10000))) (* -1 (exp 6931/10000))) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp 6931/10000)))) (+ (* -1 (- (* sinTheta_O (* sinTheta_i (exp 6931/10000))) (* -1 (exp 6931/10000)))) (* 1/2 (exp 6931/10000)))) v)) (* sinTheta_O (* sinTheta_i (exp 6931/10000)))) (* -1 (exp 6931/10000))) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/6 (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (exp 6931/10000)))) (+ (* -1 (- (* 1/2 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp 6931/10000)))) (+ (* -1 (- (* sinTheta_O (* sinTheta_i (exp 6931/10000))) (* -1 (exp 6931/10000)))) (* 1/2 (exp 6931/10000))))) (+ (* -1/6 (exp 6931/10000)) (* 1/2 (- (* sinTheta_O (* sinTheta_i (exp 6931/10000))) (* -1 (exp 6931/10000))))))) v)) (* 1/2 (* (pow sinTheta_O 2) (* (pow sinTheta_i 2) (exp 6931/10000))))) (+ (* -1 (- (* sinTheta_O (* sinTheta_i (exp 6931/10000))) (* -1 (exp 6931/10000)))) (* 1/2 (exp 6931/10000)))) v)) (* sinTheta_O (* sinTheta_i (exp 6931/10000)))) (* -1 (exp 6931/10000))) v)))>
#<alt (/ 1 (exp (/ 1 v)))>
#<alt (/ 1 (exp (/ 1 v)))>
#<alt (/ 1 (exp (/ 1 v)))>
#<alt (/ 1 (exp (/ 1 v)))>
#<alt 1>
#<alt (- 1 (/ 1 v))>
#<alt (- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))>
#<alt (- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))>
#<alt 1>
#<alt (- 1 (/ 1 v))>
#<alt (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))>
#<alt (/ -1 v)>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt 6931/10000>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt 6931/10000>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))>
#<alt (/ 1 v)>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 1 (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (+ 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>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (/ 1 v))>
#<alt (exp (/ 1 v))>
#<alt (exp (/ 1 v))>
#<alt (exp (/ 1 v))>
#<alt 1>
#<alt (+ 1 (/ 1 v))>
#<alt (+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))>
#<alt (+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))>
#<alt 1>
#<alt (+ 1 (/ 1 v))>
#<alt (+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))>
Calls

162 calls:

TimeVariablePointExpression
58.0ms
v
@inf
(/ (* 1/2 (* (exp (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))) (/ 1 (exp (/ 1 v))))) v)
15.0ms
v
@inf
(* (/ 1 (exp (- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000))) (/ 1/2 v))
3.0ms
sinTheta_i
@inf
(* (/ 1 (exp (- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000))) (/ 1/2 v))
2.0ms
sinTheta_O
@0
(* 1/2 (* (exp (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))) (/ 1 (exp (/ 1 v)))))
1.0ms
sinTheta_O
@0
(* (/ 1 (exp (- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000))) (/ 1/2 v))

rewrite337.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
3944×*-lowering-*.f32
3944×*-lowering-*.f64
3894×/-lowering-/.f32
3894×/-lowering-/.f64
1772×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039183
1234171
21848162
08553162
Stop Event
1×iter limit
1×node limit
Counts
24 → 676
Calls
Call 1
Inputs
(/ 1 (exp (- (log (* v 2)) (- 6931/10000 (/ 1 v)))))
(exp (- (log (* v 2)) (- 6931/10000 (/ 1 v))))
(- (log (* v 2)) (- 6931/10000 (/ 1 v)))
(log (* v 2))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(* sinTheta_i sinTheta_O)
(neg v)
(exp (/ (* sinTheta_i sinTheta_O) (neg v)))
(/ (* sinTheta_i sinTheta_O) (neg v))
(* (/ 1 (exp (- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000))) (/ 1/2 v))
(/ 1 (exp (- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000)))
(exp (- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000))
(- (/ (+ 1 (* sinTheta_O sinTheta_i)) v) 6931/10000)
(/ (* 1/2 (* (exp (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))) (/ 1 (exp (/ 1 v))))) v)
(* 1/2 (* (exp (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))) (/ 1 (exp (/ 1 v)))))
(* (exp (- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))) (/ 1 (exp (/ 1 v))))
(/ 1 (exp (/ 1 v)))
(- 6931/10000 (/ 1 v))
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/ (* sinTheta_i sinTheta_O) v)
(- 6931/10000 (/ (* sinTheta_i sinTheta_O) v))
(exp (/ 1 v))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(exp.f32 (neg.f32 (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (*.f32 (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (/.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) v)))) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (/.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32))) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (pow.f32 (exp.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (neg.f32 (+.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 #s(literal 6931/10000 binary32))) #s(literal -1 binary32)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (neg.f32 (neg.f32 (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))))
(exp.f32 (neg.f32 (*.f32 (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (+.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))))
(pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
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(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (*.f32 v v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (*.f32 v v)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))))
(/.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (*.f32 v v)))) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (*.f32 v v)))) (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))) (*.f32 #s(literal 6931/10000 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (-.f32 #s(literal 6931/10000 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (neg.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (*.f32 v v))))) (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(/.f32 (neg.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (*.f32 v v))))) (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (-.f32 (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))) (*.f32 #s(literal 6931/10000 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (-.f32 (*.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (*.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (*.f32 v v))))) (*.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(/.f32 (-.f32 (*.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (*.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 (neg.f32 (neg.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (*.f32 v v)))))) (neg.f32 (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (neg.f32 (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(*.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32))
(pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (exp.f32 (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32))
(*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))

simplify423.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
5092×*-lowering-*.f32
5092×*-lowering-*.f64
4526×+-lowering-+.f64
4526×+-lowering-+.f32
1832×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08738391
130917711
083747711
Stop Event
1×iter limit
1×node limit
Counts
648 → 648
Calls
Call 1
Inputs
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))
(- (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))
(- (+ (/ 1/2 (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))
(- (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (* 1/2 (/ 1 (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))) (+ (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (* 1/6 (/ 1 (* (pow v 3) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))))
(/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))
(- (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))
(+ (* -1 (/ (- (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* 1/2 (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/6 (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v)))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/6 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 3))) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))))
(exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1/2 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))) v)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1 (/ (+ (* 1/6 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v)) (* 1/2 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v))) v)))
(/ 1 v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(+ (log 2) (log v))
(+ (log 2) (log v))
(+ (log 2) (log v))
(+ (log 2) (log v))
(+ (log 2) (* -1 (log (/ 1 v))))
(+ (log 2) (* -1 (log (/ 1 v))))
(+ (log 2) (* -1 (log (/ 1 v))))
(+ (log 2) (* -1 (log (/ 1 v))))
(+ (log -2) (* -1 (log (/ -1 v))))
(+ (log -2) (* -1 (log (/ -1 v))))
(+ (log -2) (* -1 (log (/ -1 v))))
(+ (log -2) (* -1 (log (/ -1 v))))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))
(* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))
(* cosTheta_O (+ (/ 1 cosTheta_O) (/ cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))
(* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))
(* -1 (* cosTheta_O (- (* -1 (/ cosTheta_i v)) (/ 1 cosTheta_O))))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (/ 1 cosTheta_i) (/ cosTheta_O v)))
(* cosTheta_i (+ (/ 1 cosTheta_i) (/ cosTheta_O v)))
(* cosTheta_i (+ (/ 1 cosTheta_i) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (- (* -1 (/ cosTheta_O v)) (/ 1 cosTheta_i))))
(* -1 (* cosTheta_i (- (* -1 (/ cosTheta_O v)) (/ 1 cosTheta_i))))
(* -1 (* cosTheta_i (- (* -1 (/ cosTheta_O v)) (/ 1 cosTheta_i))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (+ v (* cosTheta_O cosTheta_i)) v)
(/ (+ v (* cosTheta_O cosTheta_i)) v)
(/ (+ v (* cosTheta_O cosTheta_i)) v)
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (/ (* 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)
(/ (* cosTheta_O cosTheta_i) v)
(* 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)
(* 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)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
(* -1 v)
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
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(exp 6931/10000)
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(exp 6931/10000)
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(/ 1 (exp (/ 1 v)))
(/ 1 (exp (/ 1 v)))
(/ 1 (exp (/ 1 v)))
(/ 1 (exp (/ 1 v)))
1
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1
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6931/10000
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6931/10000
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(/ (* sinTheta_O sinTheta_i) v)
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(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
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(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
(/ (* sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* 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)
(/ (* 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)
6931/10000
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))
6931/10000
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)
(/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)
(/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)
6931/10000
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
6931/10000
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (/ 1 v))
(exp (/ 1 v))
(exp (/ 1 v))
(exp (/ 1 v))
1
(+ 1 (/ 1 v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))
1
(+ 1 (/ 1 v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
Outputs
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(exp.f32 (neg.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(exp.f32 (neg.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(exp.f32 (neg.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/ 1 (exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000)))
(exp.f32 (neg.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))
(exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))))
(- (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))
(+.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (/.f32 (/.f32 #s(literal -1 binary32) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))))
(- (+ (/ 1/2 (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))
(+.f32 (+.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (*.f32 v v)))) (/.f32 (/.f32 #s(literal -1 binary32) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))))
(- (+ (/ 1 (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000))) (* 1/2 (/ 1 (* (pow v 2) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))) (+ (/ 1 (* v (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))) (* 1/6 (/ 1 (* (pow v 3) (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)))))))
(-.f32 (+.f32 (+.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (*.f32 v v)))) (/.f32 (/.f32 #s(literal -1 binary32) v) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))))) (/.f32 #s(literal 1/6 binary32) (*.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (*.f32 v (*.f32 v v)))))
(/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))
(exp.f32 (neg.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))))
(- (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))
(+.f32 (exp.f32 (neg.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))) (/.f32 (/.f32 #s(literal -1 binary32) v) (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))))
(+ (* -1 (/ (- (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* 1/2 (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(-.f32 (exp.f32 (neg.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))) (/.f32 (+.f32 (exp.f32 (neg.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))) (/.f32 #s(literal -1/2 binary32) (*.f32 v (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))))) v))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/6 (/ 1 (* v (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v)) (/ 1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))))
(-.f32 (exp.f32 (neg.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))) (/.f32 (-.f32 (exp.f32 (neg.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))))) v)) v))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(exp.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(exp.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(exp.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp (- (+ (log (* 2 v)) (/ 1 v)) 6931/10000))
(exp.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(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)) v))
(+.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (/.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) v))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v)))
(+.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) v) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (*.f32 v v))))
(+ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (+ (* 1/6 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 3))) (+ (* 1/2 (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) (pow v 2))) (/ (exp (- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)) v))))
(+.f32 (+.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (+.f32 (/.f32 (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) v) (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (*.f32 v v)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (exp.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) (*.f32 v (*.f32 v v))))
(exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))
(exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))
(+.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (/.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) v))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1/2 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v))) v)))
(-.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))) v) (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))) v))
(+ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1 (/ (+ (* 1/6 (/ (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)) v)) (* 1/2 (exp (- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)))) v))) v)))
(-.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (/.f32 (neg.f32 (+.f32 (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32)))) v) (*.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))))) v))) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) v)
(/ (+ 1 (* v (- (+ (log 2) (log v)) 6931/10000))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))) v)
(- (+ (log 2) (* -1 (log (/ 1 v)))) 6931/10000)
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(- (+ (log 2) (+ (* -1 (log (/ 1 v))) (/ 1 v))) 6931/10000)
(+.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(- (+ (log -2) (* -1 (log (/ -1 v)))) 6931/10000)
(+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(- (+ (log -2) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(+.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(+ (log 2) (log v))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 v))
(+ (log 2) (log v))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 v))
(+ (log 2) (log v))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 v))
(+ (log 2) (log v))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 v))
(+ (log 2) (* -1 (log (/ 1 v))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 v))
(+ (log 2) (* -1 (log (/ 1 v))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 v))
(+ (log 2) (* -1 (log (/ 1 v))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 v))
(+ (log 2) (* -1 (log (/ 1 v))))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 v))
(+ (log -2) (* -1 (log (/ -1 v))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (log -2) (* -1 (log (/ -1 v))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (log -2) (* -1 (log (/ -1 v))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (log -2) (* -1 (log (/ -1 v))))
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
1
#s(literal 1 binary32)
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
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#s(literal 1 binary32)
(- 1 (/ 1 v))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v)) v))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/6 binary32) v)) v)) v))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(/ (- (* 6931/10000 v) 1) v)
(/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v)
(/ (- (* 6931/10000 v) 1) v)
(/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v)
(/ (- (* 6931/10000 v) 1) v)
(/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v)
6931/10000
#s(literal 6931/10000 binary32)
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
6931/10000
#s(literal 6931/10000 binary32)
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O))))
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O))))
(* sinTheta_O (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (+.f32 (/.f32 sinTheta_i v) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O))))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))
(*.f32 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))
(*.f32 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ sinTheta_i v)) (/ 1 (* sinTheta_O v)))))
(*.f32 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 #s(literal 1 binary32) (*.f32 v sinTheta_O))) (neg.f32 sinTheta_O))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v)))
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v)))
(* sinTheta_i (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v)))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))
(*.f32 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))
(*.f32 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ sinTheta_O v)) (/ 1 (* sinTheta_i v)))))
(*.f32 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v)) (neg.f32 sinTheta_i))
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (+ 1 (* sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 6931/10000 (/ 1 sinTheta_i))))
(*.f32 sinTheta_i (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_i) (/.f32 sinTheta_O v)))
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 6931/10000 (/ 1 sinTheta_O))))
(*.f32 sinTheta_O (-.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (- (* 6931/10000 v) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (* 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)
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
1
#s(literal 1 binary32)
(+ 1 (/ 1 v))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/6 binary32) (*.f32 v (*.f32 v v)))) #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (/ 1 v))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/6 binary32) v)) v) #s(literal -1 binary32)) v))

eval150.0ms (1%)

Compiler

Compiled 28564 to 3622 computations (87.3% saved)

prune164.0ms (1.1%)

Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New1339151354
Fresh3710
Picked415
Done112
Total1347241371
Accuracy
100.0%
Counts
1371 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -6931/10000 binary32)) v))) (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 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
90.4%
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1/2 binary32))) #s(literal 2 binary32)))) v)
90.3%
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))))) v)
90.3%
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v))))) v)
99.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) v)
99.3%
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -6931/10000 binary32))) (/.f32 #s(literal 1/2 binary32) v)))
99.7%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))))))
97.5%
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
✓99.8%
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
6.2%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
6.3%
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
98.9%
(*.f32 (/.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)))) (exp.f32 (/.f32 (/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (+.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 1/2 binary32) v))
48.1%
(*.f32 (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (*.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)))))) (exp.f32 (/.f32 (*.f32 (/.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)) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)) (+.f32 #s(literal 48038761/100000000 binary32) (*.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))))))) (/.f32 #s(literal 1/2 binary32) v))
48.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) (/.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))))))) (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) (/.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))))))))) (/.f32 #s(literal 1/2 binary32) v))
99.3%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v))))) (/.f32 #s(literal 1/2 binary32) v))
99.3%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
6.3%
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
6.2%
(*.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v))) (neg.f32 cosTheta_O))
99.0%
(*.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
18.9%
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
97.5%
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
99.4%
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓6.4%
#s(literal 1 binary32)
Compiler

Compiled 1578 to 634 computations (59.8% saved)

regimes138.0ms (0.9%)

Counts
48 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(+.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 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v))) (neg.f32 cosTheta_O))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) 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 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.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) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -6931/10000 binary32))) (/.f32 #s(literal 1/2 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 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v))))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))))))
(/.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)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) v)
(exp.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))))
(/.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 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v))))) 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)))))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(*.f32 (/.f32 (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (exp.f32 (/.f32 (/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) (+.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 1/2 binary32) 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 (/.f32 (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (*.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)))))) (exp.f32 (/.f32 (*.f32 (/.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)) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)) (+.f32 #s(literal 48038761/100000000 binary32) (*.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))))))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (*.f32 v v))) (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) (/.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))))))) (exp.f32 (/.f32 #s(literal 332956652491/1000000000000 binary32) (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 6931/10000 binary32) (/.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))))))))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (exp.f32 (neg.f32 (+.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (pow.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1/2 binary32))) #s(literal 2 binary32)))) v)
(/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (+.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -6931/10000 binary32)) v))) (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 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (E.f32) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))))) v)
(/.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))) (+.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 (pow.f32 (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)))))))
Outputs
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
Calls

9 calls:

18.0ms
sinTheta_i
18.0ms
(*.f32 cosTheta_i cosTheta_O)
17.0ms
cosTheta_O
16.0ms
(+.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))))
16.0ms
sinTheta_O
Results
AccuracySegmentsBranch
99.8%1cosTheta_i
99.8%1cosTheta_O
99.8%1sinTheta_i
99.8%1sinTheta_O
99.8%1v
99.8%1(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
99.8%1(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
99.8%1(*.f32 cosTheta_i cosTheta_O)
99.8%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes98.0ms (0.6%)

Counts
29 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(+.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 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v))) (neg.f32 cosTheta_O))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) 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 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.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) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -6931/10000 binary32))) (/.f32 #s(literal 1/2 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 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v))))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))))))
(/.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)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
Outputs
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))))))
Calls

7 calls:

41.0ms
sinTheta_i
11.0ms
v
10.0ms
(*.f32 sinTheta_i sinTheta_O)
9.0ms
cosTheta_i
8.0ms
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)

regimes57.0ms (0.4%)

Counts
26 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(+.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 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v))) (neg.f32 cosTheta_O))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) 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 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.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) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -6931/10000 binary32))) (/.f32 #s(literal 1/2 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 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v))))) (/.f32 #s(literal 1/2 binary32) 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:

10.0ms
cosTheta_i
8.0ms
sinTheta_O
8.0ms
(*.f32 cosTheta_i cosTheta_O)
7.0ms
cosTheta_O
7.0ms
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)

regimes35.0ms (0.2%)

Counts
17 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(+.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 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v))) (neg.f32 cosTheta_O))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) 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 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 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

6 calls:

6.0ms
cosTheta_i
6.0ms
v
5.0ms
sinTheta_i
5.0ms
sinTheta_O
5.0ms
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 sinTheta_i sinTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes32.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(+.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 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v))) (neg.f32 cosTheta_O))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) 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 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
Outputs
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
Calls

6 calls:

6.0ms
cosTheta_i
6.0ms
v
5.0ms
cosTheta_O
5.0ms
sinTheta_i
5.0ms
sinTheta_O
Results
AccuracySegmentsBranch
97.5%1cosTheta_i
97.5%1cosTheta_O
97.5%1sinTheta_i
97.5%1sinTheta_O
97.5%1v
97.5%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes17.0ms (0.1%)

Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(+.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 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v))) (neg.f32 cosTheta_O))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
Outputs
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
Calls

5 calls:

3.0ms
v
3.0ms
sinTheta_i
3.0ms
cosTheta_i
3.0ms
cosTheta_O
3.0ms
sinTheta_O
Results
AccuracySegmentsBranch
23.5%2cosTheta_i
18.9%1sinTheta_i
18.9%1sinTheta_O
24.8%2v
24.0%2cosTheta_O
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes21.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(+.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 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 cosTheta_i v))) (neg.f32 cosTheta_O))
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
Outputs
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
Calls

3 calls:

14.0ms
v
3.0ms
cosTheta_O
3.0ms
cosTheta_i
Results
AccuracySegmentsBranch
18.9%1cosTheta_i
18.9%1cosTheta_O
18.9%1v
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes7.0ms (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
sinTheta_O
1.0ms
v
1.0ms
cosTheta_i
1.0ms
cosTheta_O
Results
AccuracySegmentsBranch
6.4%1cosTheta_i
6.4%1cosTheta_O
6.4%1sinTheta_i
6.4%1sinTheta_O
6.4%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
2.384999146811963e-23
3.7763557238391435e-23
Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify36.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
256×distribute-lft-neg-in_binary32
232×unsub-neg_binary32
182×neg-mul-1_binary32
132×cancel-sign-sub_binary32
126×neg-sub0_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04082
15882
27882
311282
416382
522382
632582
746682
864682
977182
1086582
1190182
1291082
1391182
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))) v)
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(if (<=.f32 v #s(literal 2376845/79228162514264337593543950336 binary32)) (exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
#s(literal 1 binary32)
Outputs
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 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 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) 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))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(if (<=.f32 v #s(literal 2376845/79228162514264337593543950336 binary32)) (exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
#s(literal 1 binary32)

soundness3.1s (20.1%)

Rules
6300×*-lowering-*.f32
6300×*-lowering-*.f64
6114×*-lowering-*.f32
6114×*-lowering-*.f64
5286×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05969417
120098462
277598459
083588459
0107713804
1370112982
0820512982
031127
1226113
22358113
09006113
08738391
130917711
083747711
02121
15319
215019
360819
4274119
5792319
0839619
0271155080
0810255080
042210
1281198
22755197
08235197
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 385 to 282 computations (26.8% saved)

preprocess89.0ms (0.6%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 594 to 428 computations (27.9% saved)

end0.0ms (0%)

Profiling

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