HairBSDF, Mp, lower

Time bar (total: 16.6s)

analyze732.0ms (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: 403.0ms
...c/correct-round.rkt:119:19: 114.0ms (28.3% of total)
ival-<=: 64.0ms (15.9% of total)
ival-mult: 62.0ms (15.4% of total)
ival-log: 47.0ms (11.7% of total)
ival-div: 33.0ms (8.2% of total)
ival-exp: 20.0ms (5% of total)
ival-add: 20.0ms (5% of total)
ival-sub: 19.0ms (4.7% of total)
ival-and: 19.0ms (4.7% of total)
const: 3.0ms (0.7% of total)
backward-pass: 1.0ms (0.2% of total)

sample3.5s (21.2%)

Results
2.9s8256×0valid
28.0ms132×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-mult: 531.0ms (22.3% of total)
...c/correct-round.rkt:119:19: 505.0ms (21.2% of total)
ival-div: 336.0ms (14.1% of total)
ival-<=: 328.0ms (13.8% of total)
ival-add: 253.0ms (10.6% of total)
ival-log: 155.0ms (6.5% of total)
ival-sub: 107.0ms (4.5% of total)
ival-and: 79.0ms (3.3% of total)
ival-exp: 68.0ms (2.9% of total)
const: 17.0ms (0.7% of total)
backward-pass: 4.0ms (0.2% of total)
Bogosity

preprocess264.0ms (1.6%)

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
1541408
21658399
37439399
02121
15819
216019
362519
4277919
0801519
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_i cosTheta_O) v) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.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) (fast-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) (fast-exp (+ 6931/10000 (fnmsub cosTheta_i (/ cosTheta_O v) (fma sinTheta_i (/ sinTheta_O v) (recip v))))))
(exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (fast-exp (+ 6931/10000 (fnmsub cosTheta_i (/ cosTheta_O v) (fma sinTheta_i (/ sinTheta_O v) (recip v))))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (fast-exp (fmsub cosTheta_i (/ cosTheta_O v) (+ (fnmadd sinTheta_i (/ sinTheta_O v) (recip v)) -6931/10000))) (/ 1/2 v))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (fast-exp (fmsub cosTheta_i (/ cosTheta_O v) (+ (fnmadd sinTheta_i (/ sinTheta_O v) (recip v)) -6931/10000))) (/ 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))))))
(fast-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) (fast-exp (+ 6931/10000 (fnmsub cosTheta_i (/ cosTheta_O v) (fma sinTheta_i (/ sinTheta_O v) (recip v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i (neg cosTheta_O)) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (fast-exp (+ 6931/10000 (fnmsub cosTheta_i (/ cosTheta_O v) (fma sinTheta_i (/ sinTheta_O v) (recip v))))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* (neg sinTheta_i) sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (fast-exp (fmsub cosTheta_i (/ cosTheta_O v) (+ (fnmadd sinTheta_i (/ sinTheta_O v) (recip v)) -6931/10000))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i (neg sinTheta_O)) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))))
(* (/ -1/2 v) (fast-exp (fmsub cosTheta_i (/ cosTheta_O v) (+ (fnmadd sinTheta_i (/ sinTheta_O v) (recip v)) -6931/10000))))
(neg (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) (neg v)) (/ (* sinTheta_i sinTheta_O) (neg v))) (/ 1 (neg v))) 6931/10000) (log (/ 1 (* 2 (neg v)))))))
(* (fast-exp (+ 6931/10000 (fnmsub cosTheta_i (/ cosTheta_O v) (fnmsub 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) (fast-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)))))
(fast-exp (sum4 6931/10000 (log (/ 1/2 v)) (* cosTheta_O (/ sinTheta_i v)) (fnmsub cosTheta_i (/ sinTheta_O v) (recip v))))
(exp (+ (+ (- (- (/ (* sinTheta_O cosTheta_O) v) (/ (* sinTheta_i cosTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(fast-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)))))
(fast-exp (sum4 6931/10000 (log (/ 1/2 cosTheta_i)) (* cosTheta_O (/ v cosTheta_i)) (fnmsub sinTheta_i (/ sinTheta_O cosTheta_i) (recip cosTheta_i))))
(exp (+ (+ (- (- (/ (* cosTheta_i sinTheta_i) v) (/ (* cosTheta_O sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (fast-exp (sum3 (* cosTheta_i (/ sinTheta_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)))))
(fast-exp (sum4 6931/10000 (log (/ 1/2 v)) (* sinTheta_O (/ cosTheta_i v)) (fnmsub cosTheta_O (/ sinTheta_i v) (recip v))))
(exp (+ (+ (- (- (/ (* cosTheta_i v) cosTheta_O) (/ (* sinTheta_i sinTheta_O) cosTheta_O)) (/ 1 cosTheta_O)) 6931/10000) (log (/ 1 (* 2 cosTheta_O)))))
(* (/ 1/2 cosTheta_O) (fast-exp (fma cosTheta_i (/ v cosTheta_O) (+ (fnmsub sinTheta_i (/ sinTheta_O cosTheta_O) (recip cosTheta_O)) 6931/10000))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_O sinTheta_i) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(* (/ 1/2 v) (fast-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)))))
(fast-exp (sum4 6931/10000 (log (/ 1/2 sinTheta_i)) (/ (* cosTheta_i cosTheta_O) sinTheta_i) (fnmsub v (/ sinTheta_O sinTheta_i) (recip sinTheta_i))))
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) sinTheta_O) (/ (* sinTheta_i v) sinTheta_O)) (/ 1 sinTheta_O)) 6931/10000) (log (/ 1 (* 2 sinTheta_O)))))
(fast-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)

explain267.0ms (1.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1014(-1.4284209605343873e-21 1.6316193759365684e-25 7.791062195199411e-19 3.4625888929440407e-6 0.0605255588889122)31(-4.112806591875882e-15 -5.697027732799378e-26 -2.294195355083173e-17 6.990717338339891e-8 7.802641445428694e-39)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
1014(-2.647082055773353e-6 9.760936503511175e-11 -8.770580846151854e-29 2.914445998041446e-26 7.412551683572133e-10)40(-1.080816477982971e-10 -7.271726924075434e-24 -1.0167130547095991e-26 6.112938180405269e-17 4.9607811608769225e-29)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
36(-7.9435829760516035e-16 3.2547239642993775e-13 -0.00044157958473078907 -2.723831461759734e-14 0.0025177637580782175)3(-2.3987539066183672e-8 -6.667053020770197e-11 -0.036823417991399765 -5.80109021511139e-28 0.015426543541252613)(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
00-0-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-(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
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
176.0ms512×0valid
Compiler

Compiled 308 to 65 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 28.0ms (33.8% of total)
ival-div: 18.0ms (21.7% of total)
...c/correct-round.rkt:119:19: 9.0ms (10.9% of total)
ival-sub: 8.0ms (9.7% of total)
ival-log: 8.0ms (9.7% of total)
ival-exp: 5.0ms (6% of total)
ival-add: 5.0ms (6% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 27 to 19 computations (29.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v #s(literal 2 binary32)))
▶99.6%
(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)

simplify174.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓cost-diff0
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) v))))
✓cost-diff0
(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) v)))))
✓cost-diff0
(/.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v #s(literal 2 binary32)))
✓cost-diff0
(+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32))
✓cost-diff0
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
✓cost-diff3200
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
Rules
2008×*-lowering-*.f32
2008×*-lowering-*.f64
1292×fma-lowering-fma.f32
1292×fma-lowering-fma.f64
1236×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027219
177202
2231202
3924202
44080202
08129202
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_i cosTheta_O) v) (- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v))))) (* v 2))
(exp (+ (/ (* cosTheta_i cosTheta_O) v) (- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v)))))
(+ (/ (* cosTheta_i cosTheta_O) v) (- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v))))
(/ (* cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v)))
6931/10000
(+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v))
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ 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 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (*.f32 v #s(literal 2 binary32)))
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.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)) 6931/10000)
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.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 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal -1 binary32) 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_i cosTheta_O) v) (- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v))))) (* v 2))
(/.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (*.f32 v #s(literal 2 binary32)))
(exp (+ (/ (* cosTheta_i cosTheta_O) v) (- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v)))))
(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(+ (/ (* cosTheta_i cosTheta_O) v) (- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v))))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) 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
(- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
6931/10000
#s(literal 6931/10000 binary32)
(+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v))
(+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) 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)
(* v 2)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)

localize218.0ms (1.3%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) v)))
✓accuracy99.7%
(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) v)))))
✓accuracy74.6%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy73.1%
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓accuracy99.8%
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓accuracy99.7%
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
✓accuracy74.6%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy73.1%
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
Results
168.0ms256×0valid
Compiler

Compiled 246 to 28 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-div: 28.0ms (48% of total)
ival-mult: 8.0ms (13.7% of total)
ival-add: 5.0ms (8.6% of total)
...c/correct-round.rkt:119:19: 5.0ms (8.6% of total)
ival-exp: 4.0ms (6.9% of total)
ival-log: 4.0ms (6.9% of total)
ival-sub: 3.0ms (5.1% of total)
const: 1.0ms (1.7% of total)
backward-pass: 1.0ms (1.7% of total)

series97.0ms (0.6%)

Counts
11 → 540
Calls
Call 1
Inputs
#<alt (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))>
#<alt (/ 1 (* 2 v))>
#<alt (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))>
#<alt (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)>
#<alt (/ (exp (+ (/ (* cosTheta_i cosTheta_O) v) (- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v))))) (* v 2))>
#<alt (exp (+ (/ (* cosTheta_i cosTheta_O) v) (- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v)))))>
#<alt (+ (/ (* cosTheta_i cosTheta_O) v) (- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 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 (- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v)))>
Outputs
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))>
#<alt (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
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#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (/ (* 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 (/ (* 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 (- 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 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))>
Calls

135 calls:

TimeVariablePointExpression
24.0ms
cosTheta_i
@0
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
8.0ms
sinTheta_O
@0
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
6.0ms
v
@-inf
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
3.0ms
v
@0
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
2.0ms
sinTheta_O
@0
(/ (exp (+ (/ (* cosTheta_i cosTheta_O) v) (- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v))))) (* v 2))

rewrite385.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
2446×/-lowering-/.f32
2446×/-lowering-/.f64
2400×*-lowering-*.f32
2400×*-lowering-*.f64
2082×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027133
1203117
22505116
08226116
Stop Event
1×iter limit
1×node limit
Counts
11 → 571
Calls
Call 1
Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(/ 1 (* 2 v))
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
(+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)
(/ (exp (+ (/ (* cosTheta_i cosTheta_O) v) (- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v))))) (* v 2))
(exp (+ (/ (* cosTheta_i cosTheta_O) v) (- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v)))))
(+ (/ (* cosTheta_i cosTheta_O) v) (- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 v))))
(/ (* cosTheta_i cosTheta_O) v)
(/ (* sinTheta_i sinTheta_O) v)
(- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v))
(- 6931/10000 (+ (/ (* sinTheta_i sinTheta_O) v) (/ 1 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 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 (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 #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 cosTheta_i cosTheta_O) v)) (exp.f32 (-.f32 (/.f32 (-.f32 (*.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 (neg.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (*.f32 v #s(literal -2 binary32)))
(/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))
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(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
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(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v)))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) v)) (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
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(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.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 cosTheta_O (/.f32 cosTheta_i v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
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(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v)))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
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(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v)))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
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(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (-.f32 (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) #s(literal 6931/10000 binary32))))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (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 (*.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 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v) (+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))
(fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v)))
(fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (-.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
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(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v)))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)))
(/.f32 (neg.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (*.f32 (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (*.f32 (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v))))) (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v))))))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v)))) (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v))))
(/.f32 (-.f32 (*.f32 (-.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 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v)))) (+.f32 (*.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) (*.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1 binary32) v) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (-.f32 #s(literal 332956652491/1000000000000 binary32) (*.f32 (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (*.f32 (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v))))))
(*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v))))

simplify353.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
6414×*-lowering-*.f32
6414×*-lowering-*.f64
2454×+-lowering-+.f64
2454×+-lowering-+.f32
1890×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06229848
121328688
080618688
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
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))))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
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6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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6931/10000
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(* 1/2 (/ (exp 6931/10000) v))
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(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 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))
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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))
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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))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(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))))
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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))))
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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 (/ (* 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 sinTheta_i) v))))
(exp 6931/10000)
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(exp 6931/10000)
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(+ (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)))
(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))))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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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_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
6931/10000
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
(+ 6931/10000 (* -1 (/ (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) v)))
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(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(/ (* cosTheta_O cosTheta_i) 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)))))
(- 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))))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O 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)))))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
6931/10000
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
6931/10000
(+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))
(+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))
(+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))
Outputs
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) 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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_i))) (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v v)) (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) 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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_i (+.f32 (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O v)) (*.f32 cosTheta_i (+.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v (*.f32 v v))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v)))))))))
(exp (- (+ 6931/10000 (+ (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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) 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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))))) (*.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 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i v)) (*.f32 cosTheta_O (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)))) (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_i)) (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) 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)) (/ (* 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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(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)))))
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(/ 1/2 v)
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(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) 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)))
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
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(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
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(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
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(- (+ 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)))
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(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 cosTheta_O (+.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) cosTheta_O)) (-.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_O)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
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(* 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)))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (-.f32 (/.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.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 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
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(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
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(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 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O (*.f32 (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))) (/.f32 cosTheta_i v))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+.f32 (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O (+.f32 (*.f32 (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))) (/.f32 cosTheta_i v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 cosTheta_i cosTheta_i) (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 v v)))))
(+ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+.f32 (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O (+.f32 (*.f32 (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))) (/.f32 cosTheta_i v)) (*.f32 cosTheta_O (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_i) (exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v v)))))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal 6931/10000 binary32))) v))
(+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal 6931/10000 binary32))) v)) (*.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 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal 6931/10000 binary32)))) (*.f32 v v))))
(+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(+.f32 (+.f32 (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal 6931/10000 binary32))) v)) (*.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 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (exp.f32 #s(literal 6931/10000 binary32)))) (*.f32 v v)))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (-.f32 (*.f32 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))) (exp.f32 #s(literal 6931/10000 binary32))))) (*.f32 v (*.f32 v v))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (+.f32 (*.f32 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 #s(literal -1/2 binary32) (*.f32 (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (+.f32 (*.f32 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))))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v))) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)))) (+.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))))) v)) v))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O 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 (*.f32 cosTheta_O 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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) v))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v v)) (*.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 sinTheta_O v)))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(+.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_i (-.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i)))) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)))))) (*.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 sinTheta_O v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O 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 (*.f32 cosTheta_O 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 (*.f32 cosTheta_O 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))))))
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6931/10000
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(*.f32 sinTheta_O (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) sinTheta_O) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O)) (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* sinTheta_i (- (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(*.f32 sinTheta_i (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.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 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (*.f32 (neg.f32 sinTheta_i) #s(literal -1 binary32)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (*.f32 (neg.f32 sinTheta_i) #s(literal -1 binary32)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* -1 (* sinTheta_i (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(*.f32 (*.f32 (neg.f32 sinTheta_i) #s(literal -1 binary32)) (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_i) (/.f32 sinTheta_O v)))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))
(- (+ 6931/10000 (* -1 (/ (* sinTheta_O sinTheta_i) v))) (/ 1 v))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal -1 binary32) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_O (- (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(*.f32 sinTheta_O (-.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.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 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 (+.f32 (/.f32 sinTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 sinTheta_O))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 (+.f32 (/.f32 sinTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 sinTheta_O))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (- 6931/10000 (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(*.f32 (+.f32 (/.f32 sinTheta_i v) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (neg.f32 sinTheta_O))) (neg.f32 sinTheta_O))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v))
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
6931/10000
#s(literal 6931/10000 binary32)
(+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(+ 6931/10000 (* -1 (/ (- 1 (* -1 (* sinTheta_O sinTheta_i))) v)))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))

eval171.0ms (1%)

Compiler

Compiled 37959 to 2931 computations (92.3% saved)

prune132.0ms (0.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1213151228
Fresh000
Picked202
Done000
Total1215151230
Accuracy
99.8%
Counts
1230 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.7%
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (*.f32 v #s(literal 2 binary32)))
99.2%
(/.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 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) v)
4.6%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
▶99.7%
(/.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)) (*.f32 v #s(literal 2 binary32)))
99.3%
(/.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 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (+.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
90.3%
(/.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))))
99.7%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
99.3%
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)))
▶99.7%
(*.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))))
▶97.8%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
▶13.6%
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
12.9%
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
▶99.7%
(exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
99.7%
(exp.f32 (*.f32 (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (neg.f32 sinTheta_i))) (neg.f32 sinTheta_i)))
Compiler

Compiled 852 to 516 computations (39.4% saved)

simplify235.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
✓cost-diff64
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)
✓cost-diff3200
(exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
✓cost-diff0
(+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))
✓cost-diff0
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v))
✓cost-diff0
(/.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)) (*.f32 v #s(literal 2 binary32)))
✓cost-diff64
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)
✓cost-diff0
(*.f32 cosTheta_O cosTheta_i)
✓cost-diff0
(-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))
✓cost-diff0
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
✓cost-diff0
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
✓cost-diff0
(*.f32 cosTheta_O cosTheta_i)
✓cost-diff0
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓cost-diff0
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓cost-diff0
(+.f32 (/.f32 (-.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 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
✓cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
✓cost-diff0
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
Rules
1734×fma-lowering-fma.f32
1734×fma-lowering-fma.f64
1696×*-lowering-*.f32
1696×*-lowering-*.f64
1512×fmm-def
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038330
1109309
2240309
3600309
41771307
56599307
08215307
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 1/2 v) (exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(/ 1/2 v)
1/2
v
(exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))
(+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)
(/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)
(- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1)
(- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
1
6931/10000
(exp (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(+ 1 (* sinTheta_O sinTheta_i))
1
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(/ (exp (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (* v 2))
(exp (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v)
(+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))))
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(* 6931/10000 v)
6931/10000
v
(+ 1 (* sinTheta_O sinTheta_i))
1
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(* v 2)
2
(exp (+ (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v) (log (/ 1 (* 2 v)))))
(+ (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v) (log (/ 1 (* 2 v))))
(/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v)
(+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))))
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(* 6931/10000 v)
6931/10000
v
(+ 1 (* sinTheta_O sinTheta_i))
1
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(log (/ 1 (* 2 v)))
(/ 1 (* 2 v))
(* 2 v)
2
Outputs
(* (/ 1/2 v) (exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(/.f32 (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 v #s(literal 2 binary32)))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
v
(exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))
(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)))
(+ (/ (- (- (* 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
1
#s(literal 1 binary32)
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)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
v
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
(+ 1 (* sinTheta_O sinTheta_i))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))
1
#s(literal 1 binary32)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
sinTheta_i
v
(/ (exp (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (* v 2))
(/.f32 (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 v #s(literal 2 binary32)))
(exp (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(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)))
(/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v)
(+.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_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))))
(-.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32))) (*.f32 sinTheta_i sinTheta_O))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
6931/10000
#s(literal 6931/10000 binary32)
v
(+ 1 (* sinTheta_O sinTheta_i))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))
1
#s(literal 1 binary32)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
sinTheta_i
(* v 2)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)
(exp (+ (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v) (log (/ 1 (* 2 v)))))
(/.f32 (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 v #s(literal 2 binary32)))
(+ (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v) (log (/ 1 (* 2 v))))
(+.f32 (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v)
(+.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_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))))
(-.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32))) (*.f32 sinTheta_i sinTheta_O))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
6931/10000
#s(literal 6931/10000 binary32)
v
(+ 1 (* sinTheta_O sinTheta_i))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))
1
#s(literal 1 binary32)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
sinTheta_i
(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)

localize291.0ms (1.8%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)
✓accuracy99.8%
(+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
✓accuracy99.7%
(exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
✓accuracy98.6%
(*.f32 #s(literal 6931/10000 binary32) v)
✓accuracy100.0%
(-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))
✓accuracy99.9%
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)
✓accuracy99.7%
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v))
✓accuracy98.6%
(*.f32 #s(literal 6931/10000 binary32) v)
✓accuracy100.0%
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))
✓accuracy100.0%
(*.f32 sinTheta_O sinTheta_i)
✓accuracy100.0%
(*.f32 cosTheta_O cosTheta_i)
✓accuracy99.7%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
✓accuracy100.0%
(*.f32 cosTheta_O cosTheta_i)
✓accuracy99.9%
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
✓accuracy73.1%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓accuracy100.0%
(*.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))))
✓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))
✓accuracy99.8%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
✓accuracy99.7%
(exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))
Results
189.0ms256×0valid
Compiler

Compiled 377 to 39 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-div: 13.0ms (22.3% of total)
ival-mult: 12.0ms (20.6% of total)
ival-exp: 10.0ms (17.1% of total)
ival-log: 7.0ms (12% of total)
ival-add: 5.0ms (8.6% of total)
ival-sub: 5.0ms (8.6% of total)
...c/correct-round.rkt:119:19: 5.0ms (8.6% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series114.0ms (0.7%)

Counts
22 → 972
Calls
Call 1
Inputs
#<alt (* (/ 1/2 v) (exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)))>
#<alt (/ 1/2 v)>
#<alt (exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))>
#<alt (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)>
#<alt (exp (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v)>
#<alt (/ (exp (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (* v 2))>
#<alt (exp (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v))>
#<alt (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))))>
#<alt (exp (+ (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v) (log (/ 1 (* 2 v)))))>
#<alt (/ 1 (* 2 v))>
#<alt (+ (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v) (log (/ 1 (* 2 v))))>
#<alt (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (+ 1 (* sinTheta_O sinTheta_i))>
#<alt (* 6931/10000 v)>
#<alt (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))>
Outputs
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v)>
#<alt (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) v)>
#<alt (/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))) v)>
#<alt (* 1/2 (/ (exp 6931/10000) v))>
#<alt (* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v))>
#<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)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 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)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))>
#<alt (+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))>
#<alt (+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))>
#<alt (+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))>
#<alt (+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
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#<alt (- (* cosTheta_O cosTheta_i) 1)>
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#<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 (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))>
#<alt (- (+ 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 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))>
#<alt (- (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))>
#<alt (* -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 (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt 1>
#<alt (+ 1 (* sinTheta_O sinTheta_i))>
#<alt (+ 1 (* sinTheta_O sinTheta_i))>
#<alt (+ 1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O)))>
#<alt (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O)))>
#<alt (* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O)))>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O))))>
#<alt 1>
#<alt (+ 1 (* sinTheta_O sinTheta_i))>
#<alt (+ 1 (* sinTheta_O sinTheta_i))>
#<alt (+ 1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i)))>
#<alt (* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i)))>
#<alt (* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i)))>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i))))>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* -1 (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (* 6931/10000 v)>
#<alt (* v (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (* v (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (* v (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (* 6931/10000 v)>
#<alt (* -1 (* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (* -1 (* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (* -1 (* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (- (* 6931/10000 v) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ v sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ v sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ v sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_O)) (* -1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_O)) (* -1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_O)) (* -1 sinTheta_i))))>
#<alt (- (* 6931/10000 v) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ v sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ v sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ v sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_i)) (* -1 sinTheta_O))))>
Calls

243 calls:

TimeVariablePointExpression
34.0ms
cosTheta_i
@inf
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
12.0ms
sinTheta_O
@0
(/ (exp (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (* v 2))
11.0ms
cosTheta_O
@inf
(/ (exp (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (* v 2))
1.0ms
cosTheta_O
@0
(/ (exp (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (* v 2))
1.0ms
cosTheta_i
@0
(/ (exp (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (* v 2))

rewrite415.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
3814×*-lowering-*.f32
3814×*-lowering-*.f64
2542×fma-lowering-fma.f32
2542×fma-lowering-fma.f64
2340×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038208
1260194
22087194
09456194
Stop Event
1×iter limit
1×node limit
Counts
22 → 627
Calls
Call 1
Inputs
(* (/ 1/2 v) (exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)))
(/ 1/2 v)
(exp (+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000))
(+ (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v) 6931/10000)
(exp (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v)
(/ (exp (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v)) (* v 2))
(exp (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))))
(exp (+ (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v) (log (/ 1 (* 2 v)))))
(/ 1 (* 2 v))
(+ (/ (+ (* cosTheta_O cosTheta_i) (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))) v) (log (/ 1 (* 2 v))))
(- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))
(* sinTheta_O sinTheta_i)
(+ 1 (* sinTheta_O sinTheta_i))
(* 6931/10000 v)
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
Outputs
(exp.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)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) #s(literal 6931/10000 binary32))))
(pow.f32 (/.f32 v (*.f32 #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))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #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))))))
(/.f32 (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 v #s(literal 1/2 binary32)))
(/.f32 (*.f32 #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)))) v)
(/.f32 (neg.f32 (*.f32 #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))))) (neg.f32 v))
(/.f32 (*.f32 (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)) (/.f32 v #s(literal 1/2 binary32)))
(/.f32 (*.f32 (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)) (*.f32 v #s(literal -2 binary32)))
(/.f32 (*.f32 (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 -1/2 binary32)) (neg.f32 v))
(/.f32 (*.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 v #s(literal 1/2 binary32)))
(/.f32 (*.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 v #s(literal -2 binary32)))
(/.f32 (*.f32 #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)))) (neg.f32 v))
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (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 1/2 binary32) (/.f32 (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))) v))
(*.f32 #s(literal 1 binary32) (/.f32 (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 v #s(literal 1/2 binary32))))
(*.f32 (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 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (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_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 #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)))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 (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)) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 v #s(literal 1/2 binary32))))
(neg.f32 (/.f32 #s(literal -1/2 binary32) v))
(exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(pow.f32 (/.f32 v #s(literal 1/2 binary32)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (*.f32 v #s(literal -2 binary32))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (/.f32 v #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 v #s(literal 1/2 binary32))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(/.f32 #s(literal 1/2 binary32) v)
(/.f32 #s(literal 1/2 binary32) (neg.f32 (neg.f32 v)))
(/.f32 #s(literal 1 binary32) (/.f32 v #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 v #s(literal -2 binary32))))
(/.f32 #s(literal -1 binary32) (*.f32 v #s(literal -2 binary32)))
(/.f32 #s(literal -1/2 binary32) (neg.f32 v))
(/.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))
(/.f32 (exp.f32 (log.f32 #s(literal 1/2 binary32))) (exp.f32 (log.f32 v)))
(/.f32 (exp.f32 (log.f32 #s(literal -1 binary32))) (exp.f32 (log.f32 (*.f32 v #s(literal -2 binary32)))))
(/.f32 (exp.f32 (log.f32 #s(literal -1/2 binary32))) (exp.f32 (log.f32 (neg.f32 v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v #s(literal -2 binary32))))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 v)))
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32))
(*.f32 (pow.f32 (/.f32 v #s(literal 1/2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v #s(literal 1/2 binary32)) #s(literal -1/2 binary32)))
(*.f32 (exp.f32 (log.f32 #s(literal 1/2 binary32))) (exp.f32 (-.f32 #s(literal 0 binary32) (log.f32 v))))
(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)))
(pow.f32 (exp.f32 (+.f32 (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) #s(literal 332956652491/1000000000000 binary32))) (/.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 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)) (-.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)))))))))
(pow.f32 (exp.f32 (+.f32 (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)) #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 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) 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 (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)) (+.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 #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 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)))
(+.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 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)) (-.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 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) #s(literal 332956652491/1000000000000 binary32))) #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 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)) #s(literal -48038761/100000000 binary32))) #s(literal -1 binary32))
(fma.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) v)) (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal 6931/10000 binary32))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal 6931/10000 binary32))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (-.f32 (/.f32 (+.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 #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 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) 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) (*.f32 sinTheta_i sinTheta_O)) 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 (neg.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal 1 binary32) (neg.f32 v)) #s(literal 6931/10000 binary32))
(fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1 binary32) (neg.f32 v)) (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal 6931/10000 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) 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 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal 6931/10000 binary32))))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) 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 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)) (+.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 cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 #s(literal 1 binary32) (*.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 #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 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)) (-.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 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) #s(literal 332956652491/1000000000000 binary32))))
(/.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 (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)) #s(literal -48038761/100000000 binary32))))
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(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.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 #s(literal 1 binary32) v)) (+.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 (+.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))))))
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(+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))
(+.f32 (-.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)) #s(literal -1 binary32)))
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(+.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) (*.f32 cosTheta_i cosTheta_O))
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(+.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))
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(pow.f32 (/.f32 (+.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 (+.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 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.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)))))) #s(literal -1 binary32))
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(pow.f32 (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) #s(literal -1 binary32))
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(fma.f32 cosTheta_i cosTheta_O (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)))
(fma.f32 cosTheta_O cosTheta_i (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)))
(fma.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32) #s(literal -1 binary32))
(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)) #s(literal -1 binary32)))
(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)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))
(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)) #s(literal -1 binary32)))
(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)) #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 cosTheta_i cosTheta_O))
(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 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))))) #s(literal -1 binary32))
(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 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)) #s(literal -1 binary32)))
(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 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)) #s(literal 1 binary32)))
(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))) #s(literal -1 binary32))
(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)) #s(literal -1 binary32)))
(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)) #s(literal 1 binary32)))
(-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32))
(-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))
(-.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O))
(-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (+.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 (+.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 (+.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 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 (+.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 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))))
(-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (+.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_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 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 (+.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 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.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 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.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 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 (+.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 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.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 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))))))
(/.f32 (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) #s(literal -1 binary32)) (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(/.f32 (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) #s(literal -1 binary32)) (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)))))
(/.f32 (-.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_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 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))))
(/.f32 (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.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)))))) (neg.f32 (+.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 (+.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 (neg.f32 (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) #s(literal -1 binary32))) (neg.f32 (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (-.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (neg.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 (neg.f32 (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32))) (neg.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) (*.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (+.f32 (*.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))) (+.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))) (*.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)))))
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(neg.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (neg.f32 v)))
(neg.f32 (/.f32 (neg.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) v))
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(pow.f32 (/.f32 (/.f32 v (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v #s(literal 6931/10000 binary32))) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) v))
(/.f32 #s(literal 1 binary32) (/.f32 v (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) #s(literal 1 binary32)))
(/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) v)
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(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 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 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))
(pow.f32 (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) #s(literal -1 binary32))
(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 (*.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 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_i cosTheta_O))
(fma.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O) (*.f32 cosTheta_i cosTheta_O))
(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 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 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 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))))
(-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (+.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 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (+.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 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 #s(literal 1 binary32) (/.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 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 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 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (+.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 (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (+.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (-.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))) (*.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 0 binary32) (*.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 (*.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 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))))) (neg.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 (neg.f32 (-.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (neg.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O))))) (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 (-.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)))) (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 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)) (+.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 (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) #s(literal 1 binary32)) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))
(*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))
(*.f32 (-.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) (*.f32 cosTheta_O (*.f32 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 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
(*.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))
(*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))
(*.f32 (*.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O)
(*.f32 (*.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i)
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))
(+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) #s(literal -1 binary32))
(fma.f32 sinTheta_i sinTheta_O #s(literal 1 binary32))
(fma.f32 sinTheta_O sinTheta_i #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))
(fma.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) sinTheta_i) sinTheta_O #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) sinTheta_O) sinTheta_i #s(literal 1 binary32))
(-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (+.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (-.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))
(*.f32 v #s(literal 6931/10000 binary32))
(*.f32 #s(literal 6931/10000 binary32) v)
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)))
(+.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)) (*.f32 v #s(literal 6931/10000 binary32)))
(+.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 v #s(literal 6931/10000 binary32) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))))))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))))))
(+.f32 (fma.f32 v #s(literal 6931/10000 binary32) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))))))
(+.f32 (fma.f32 #s(literal 6931/10000 binary32) v (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))))))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))))))
(+.f32 (fma.f32 #s(literal 6931/10000 binary32) v (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))))))
(pow.f32 (/.f32 (+.f32 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v #s(literal 6931/10000 binary32))))) (-.f32 (*.f32 #s(literal 332956652491/1000000000000 binary32) (*.f32 v (*.f32 v v))) (*.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)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v #s(literal 6931/10000 binary32))) (-.f32 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) #s(literal -1 binary32))
(fma.f32 v #s(literal 6931/10000 binary32) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)))
(fma.f32 #s(literal 6931/10000 binary32) v (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v #s(literal 6931/10000 binary32)))
(-.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))
(-.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O))
(-.f32 (/.f32 (*.f32 #s(literal 332956652491/1000000000000 binary32) (*.f32 v (*.f32 v v))) (+.f32 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v #s(literal 6931/10000 binary32)))))) (/.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 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v #s(literal 6931/10000 binary32)))))))
(-.f32 (/.f32 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v #s(literal 6931/10000 binary32)))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v #s(literal 6931/10000 binary32)))))
(-.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v #s(literal 6931/10000 binary32))))) (-.f32 (*.f32 #s(literal 332956652491/1000000000000 binary32) (*.f32 v (*.f32 v v))) (*.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 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v #s(literal 6931/10000 binary32))) (-.f32 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 (-.f32 (*.f32 #s(literal 332956652491/1000000000000 binary32) (*.f32 v (*.f32 v v))) (*.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 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v #s(literal 6931/10000 binary32))))))
(/.f32 (-.f32 (*.f32 #s(literal 332956652491/1000000000000 binary32) (*.f32 v (*.f32 v v))) (*.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 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))))))
(/.f32 (-.f32 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v #s(literal 6931/10000 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 332956652491/1000000000000 binary32) (*.f32 v (*.f32 v v))) (*.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)))))) (neg.f32 (+.f32 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v #s(literal 6931/10000 binary32)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (neg.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v #s(literal 6931/10000 binary32)))))
(/.f32 (-.f32 (*.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (+.f32 (*.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32))) (+.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))) (*.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 (-.f32 (*.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32))) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (+.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_i sinTheta_O)))
(*.f32 (-.f32 (*.f32 #s(literal 332956652491/1000000000000 binary32) (*.f32 v (*.f32 v v))) (*.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 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v #s(literal 6931/10000 binary32)))))))
(*.f32 (-.f32 (*.f32 #s(literal 48038761/100000000 binary32) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 v #s(literal 6931/10000 binary32)))))

simplify453.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
6286×*-lowering-*.f32
6286×*-lowering-*.f64
5330×+-lowering-+.f64
5330×+-lowering-+.f32
1480×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0109715965
1382014838
0844814838
Stop Event
1×iter limit
1×node limit
Counts
972 → 972
Calls
Call 1
Inputs
(* 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) v))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) (* -1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v))) v)) (* 1/2 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))))) v)) (* -1/2 (exp 6931/10000))) v))
(* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/4 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_i (+ (* 1/12 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(* 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))
(* 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 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/4 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))))
(+ (* 1/2 (/ (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))) (* cosTheta_O (+ (* 1/12 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 4))) (* 1/4 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 3))))))))
(* 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))
(* 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))) v))
(+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))) (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))))))
(+ (* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 4))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 3))))))))
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6931/10000
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6931/10000
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1
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1
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(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
(exp (/ (* cosTheta_O cosTheta_i) v))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (+ (* 1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))
(+ 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))))
1
(+ 1 (/ (* cosTheta_O cosTheta_i) v))
(+ 1 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1/2 (/ (* (pow cosTheta_O 2) (pow cosTheta_i 2)) v))) v)))
(+ 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)))
(/ (* 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)
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) v))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (/ (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) v))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (/ (* cosTheta_O (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v))) v)))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(* -1 (+ 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)))
(* cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))))
(* -1 (+ 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)))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))))
(- (* cosTheta_O cosTheta_i) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (+ sinTheta_i (/ 1 sinTheta_O))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (+ sinTheta_i (/ 1 sinTheta_O))))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (+ sinTheta_i (/ 1 sinTheta_O))))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)) (* -1 sinTheta_i))))
(- (* cosTheta_O cosTheta_i) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))))
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (* cosTheta_O cosTheta_i) v)
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
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(/ (- (+ (* 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)))
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(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (/ 1 (* sinTheta_O v))))
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(* 1/2 (/ (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)) v))
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(exp 6931/10000)
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(exp 6931/10000)
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(+ (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))) (pow v 2))))))))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(* cosTheta_O cosTheta_i)
(* cosTheta_O (- (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (- (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (- (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)))))
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (- (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (- (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (- (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)))))
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(* 6931/10000 v)
(* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* 6931/10000 v)
(* -1 (* v (- (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) 6931/10000)))
(* -1 (* v (- (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) 6931/10000)))
(* -1 (* v (- (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) 6931/10000)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)
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(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))
(* sinTheta_O (- (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))
(* sinTheta_O (- (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_O)) (* -1 sinTheta_i))))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))
(* sinTheta_i (- (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))
(* sinTheta_i (- (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_i)) (* -1 sinTheta_O))))
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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))))
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(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
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(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
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(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
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(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) (+ 1 (* sinTheta_O sinTheta_i))) v)
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(- (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (+ (/ (log (/ 1/2 v)) sinTheta_O) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (+ (/ (log (/ 1/2 v)) sinTheta_i) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* 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
(+ 1 (* sinTheta_O sinTheta_i))
(+ 1 (* sinTheta_O sinTheta_i))
(+ 1 (* sinTheta_O sinTheta_i))
(* sinTheta_O sinTheta_i)
(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O)))
(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O)))
(* sinTheta_O (+ sinTheta_i (/ 1 sinTheta_O)))
(* sinTheta_O sinTheta_i)
(* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O))))
(* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O))))
(* -1 (* sinTheta_O (- (* -1 sinTheta_i) (/ 1 sinTheta_O))))
1
(+ 1 (* sinTheta_O sinTheta_i))
(+ 1 (* sinTheta_O sinTheta_i))
(+ 1 (* sinTheta_O sinTheta_i))
(* sinTheta_O sinTheta_i)
(* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i)))
(* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i)))
(* sinTheta_i (+ sinTheta_O (/ 1 sinTheta_i)))
(* sinTheta_O sinTheta_i)
(* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i))))
(* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i))))
(* -1 (* sinTheta_i (- (* -1 sinTheta_O) (/ 1 sinTheta_i))))
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* -1 (+ 1 (* sinTheta_O sinTheta_i)))
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(* 6931/10000 v)
(* v (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(* v (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(* v (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(* 6931/10000 v)
(* -1 (* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))
(* -1 (* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))
(* -1 (* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))
(- (* 6931/10000 v) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (* 6931/10000 (/ v sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))
(* sinTheta_O (- (* 6931/10000 (/ v sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))
(* sinTheta_O (- (* 6931/10000 (/ v sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_O)) (* -1 sinTheta_i))))
(- (* 6931/10000 v) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (* 6931/10000 (/ v sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))
(* sinTheta_i (- (* 6931/10000 (/ v sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))
(* sinTheta_i (- (* 6931/10000 (/ v sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_i)) (* -1 sinTheta_O))))
Outputs
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 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 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))) v)
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 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 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))) v)
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 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 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))) v)
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) 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 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))) v)
(/ (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))) v)
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))) (*.f32 #s(literal 1/4 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.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))))) v)
(/ (+ (* 1/12 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))) v)
(/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.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 #s(literal 1/2 binary32) (+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))) (*.f32 #s(literal 1/12 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (/.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)) v) (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))))) v)
(* 1/2 (/ (exp 6931/10000) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(* -1 (/ (+ (* -1/2 (exp 6931/10000)) (* -1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) 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.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) 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 sinTheta_i) v))))
(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) 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 sinTheta_i) v))))
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(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)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
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(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 sinTheta_i) v))))
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(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 sinTheta_i) v))))
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(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 sinTheta_i) v))))
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(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 sinTheta_i) v))))
(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
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(+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
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(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
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(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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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 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (-.f32 (/.f32 cosTheta_O v) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.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) cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.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) cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (*.f32 cosTheta_i (-.f32 (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 cosTheta_i)) (/.f32 cosTheta_O v))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (*.f32 cosTheta_i (-.f32 (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 cosTheta_i)) (/.f32 cosTheta_O v))))
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(exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
1
#s(literal 1 binary32)
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.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 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32)) (*.f32 #s(literal 1/2 binary32) (*.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 #s(literal 1/6 binary32) (*.f32 (/.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)) v) (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
1
#s(literal 1 binary32)
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 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 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 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 1/2 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)) v))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O v))))
(* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O v))))
(* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 cosTheta_O (+.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_O v))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
(neg.f32 (*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
(neg.f32 (*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
(neg.f32 (*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v))) (/.f32 cosTheta_i v))))
(* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))
(/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_i v))))
(* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_i v))))
(* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 cosTheta_i v))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(*.f32 sinTheta_O (+.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 #s(literal -1 binary32) (*.f32 v sinTheta_O))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(*.f32 sinTheta_O (+.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 #s(literal -1 binary32) (*.f32 v sinTheta_O))))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(*.f32 sinTheta_O (+.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v) (/.f32 sinTheta_i v)) (/.f32 #s(literal -1 binary32) (*.f32 v sinTheta_O))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(*.f32 (-.f32 (/.f32 sinTheta_i v) (/.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) sinTheta_O)) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(*.f32 (-.f32 (/.f32 sinTheta_i v) (/.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) sinTheta_O)) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))
(*.f32 (-.f32 (/.f32 sinTheta_i v) (/.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) sinTheta_O)) (neg.f32 sinTheta_O))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(+.f32 (neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(*.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v) (/.f32 sinTheta_O v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(*.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v) (/.f32 sinTheta_O v))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(*.f32 sinTheta_i (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) sinTheta_i) v) (/.f32 sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(*.f32 (-.f32 (/.f32 sinTheta_O v) (/.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) sinTheta_i)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(*.f32 (-.f32 (/.f32 sinTheta_O v) (/.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) sinTheta_i)) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))
(*.f32 (-.f32 (/.f32 sinTheta_O v) (/.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) sinTheta_i)) (neg.f32 sinTheta_i))
(/ (- (* 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)
(/ (- (* 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)
(/ (- (* 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)
(/ (- (* 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)
(/ (- (* 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)
(/ (- (* 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)
(/ (- (* 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)
(/ (- (* 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)
(/ (- (* 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)
(/ (- (* 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)
(/ (- (* 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)
(/ (- (* 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)
(* -1 (+ 1 (* sinTheta_O sinTheta_i)))
(-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_O))))
(*.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) cosTheta_O)))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_O))))
(*.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) cosTheta_O)))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_O))))
(*.f32 cosTheta_O (+.f32 cosTheta_i (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) cosTheta_O)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i)) (neg.f32 cosTheta_O))
(* -1 (+ 1 (* sinTheta_O sinTheta_i)))
(-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))))
(*.f32 cosTheta_i (+.f32 cosTheta_O (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) cosTheta_i)))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))))
(*.f32 cosTheta_i (+.f32 cosTheta_O (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) cosTheta_i)))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))))
(*.f32 cosTheta_i (+.f32 cosTheta_O (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) cosTheta_i)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O))
(- (* cosTheta_O cosTheta_i) 1)
(+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (+ sinTheta_i (/ 1 sinTheta_O))))
(*.f32 sinTheta_O (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (/.f32 #s(literal -1 binary32) sinTheta_O)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (+ sinTheta_i (/ 1 sinTheta_O))))
(*.f32 sinTheta_O (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (/.f32 #s(literal -1 binary32) sinTheta_O)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (+ sinTheta_i (/ 1 sinTheta_O))))
(*.f32 sinTheta_O (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (/.f32 #s(literal -1 binary32) sinTheta_O)))
(* -1 (* sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) sinTheta_O) sinTheta_i)) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) sinTheta_O) sinTheta_i)) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) sinTheta_O) sinTheta_i)) (neg.f32 sinTheta_O))
(- (* cosTheta_O cosTheta_i) 1)
(+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)
(-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))
(*.f32 sinTheta_i (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O) (/.f32 #s(literal -1 binary32) sinTheta_i)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))
(*.f32 sinTheta_i (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O) (/.f32 #s(literal -1 binary32) sinTheta_i)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))
(*.f32 sinTheta_i (+.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O) (/.f32 #s(literal -1 binary32) sinTheta_i)))
(* -1 (* sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 (neg.f32 sinTheta_i) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (neg.f32 sinTheta_i)) sinTheta_O))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 (neg.f32 sinTheta_i) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (neg.f32 sinTheta_i)) sinTheta_O))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 (neg.f32 sinTheta_i) (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (neg.f32 sinTheta_i)) sinTheta_O))
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(- (+ 6931/10000 (/ (* 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)))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_O v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (neg.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (neg.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (neg.f32 (+.f32 (/.f32 cosTheta_i v) (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O))) (neg.f32 cosTheta_O))
(/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.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 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 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) cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.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) cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.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) cosTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_i v))))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (*.f32 cosTheta_i (-.f32 (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 cosTheta_i)) (/.f32 cosTheta_O v))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (*.f32 cosTheta_i (-.f32 (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 cosTheta_i)) (/.f32 cosTheta_O v))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(neg.f32 (*.f32 cosTheta_i (-.f32 (/.f32 (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 cosTheta_i)) (/.f32 cosTheta_O v))))
(/ (- (* 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 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #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 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #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 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #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)))
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6931/10000
#s(literal 6931/10000 binary32)
(- (+ 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 v) (* cosTheta_O cosTheta_i)) 1) v)
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32))) v)
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(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)))) (/ 1 (* sinTheta_O v))))
(*.f32 sinTheta_O (+.f32 (+.f32 (/.f32 #s(literal 6931/10000 binary32) sinTheta_O) (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v) (/.f32 sinTheta_i v))) (/.f32 #s(literal -1 binary32) (*.f32 v sinTheta_O))))
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(+ (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(+ (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))) v))
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(+ (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))))
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(+ (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v))) v))))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
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(+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
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(+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
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(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
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(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) v))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (exp.f32 #s(literal 6931/10000 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 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))) v))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))))) (* -1 (/ (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)))) v))) v)))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32))) v))
(+ (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)))) v)))
(-.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32))) v)) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32))) v))) v))
(+ (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)))) (pow v 2))))))
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(+ (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))) (pow v 2))))))))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32))) v))
(+ (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)))) v)))
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(+ (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)))) (pow v 2))))))
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(+ (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))) (pow v 2))))))))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
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(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
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(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
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(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O (- (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (-.f32 (+.f32 cosTheta_i (/.f32 (*.f32 #s(literal 6931/10000 binary32) v) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (- (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (-.f32 (+.f32 cosTheta_i (/.f32 (*.f32 #s(literal 6931/10000 binary32) v) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (- (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (-.f32 (+.f32 cosTheta_i (/.f32 (*.f32 #s(literal 6931/10000 binary32) v) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O)) cosTheta_i))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O)) cosTheta_i))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_O)) cosTheta_i))
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_i (- (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (-.f32 (+.f32 cosTheta_O (/.f32 (*.f32 #s(literal 6931/10000 binary32) v) cosTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (- (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (-.f32 (+.f32 cosTheta_O (/.f32 (*.f32 #s(literal 6931/10000 binary32) v) cosTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (- (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (-.f32 (+.f32 cosTheta_O (/.f32 (*.f32 #s(literal 6931/10000 binary32) v) cosTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_i)) cosTheta_O))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_i)) cosTheta_O))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 cosTheta_i)) cosTheta_O))
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
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(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
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(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))
(* 6931/10000 v)
(*.f32 #s(literal 6931/10000 binary32) v)
(* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 v (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 v (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 v (+.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(* 6931/10000 v)
(*.f32 #s(literal 6931/10000 binary32) v)
(* -1 (* v (- (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) 6931/10000)))
(*.f32 (+.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v)) #s(literal -6931/10000 binary32)) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) 6931/10000)))
(*.f32 (+.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v)) #s(literal -6931/10000 binary32)) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) 6931/10000)))
(*.f32 (+.f32 (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v)) #s(literal -6931/10000 binary32)) (neg.f32 v))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)
(+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
(+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
(+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
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(* -1 (* sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
(* sinTheta_O (- (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))
(*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 6931/10000 binary32) v) sinTheta_O) sinTheta_i) (/.f32 #s(literal -1 binary32) sinTheta_O))))
(* sinTheta_O (- (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))
(*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 6931/10000 binary32) v) sinTheta_O) sinTheta_i) (/.f32 #s(literal -1 binary32) sinTheta_O))))
(* sinTheta_O (- (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))
(*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 6931/10000 binary32) v) sinTheta_O) sinTheta_i) (/.f32 #s(literal -1 binary32) sinTheta_O))))
(* -1 (* sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (neg.f32 sinTheta_O) (neg.f32 (-.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32))) sinTheta_O) sinTheta_i)))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (neg.f32 sinTheta_O) (neg.f32 (-.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32))) sinTheta_O) sinTheta_i)))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (neg.f32 sinTheta_O) (neg.f32 (-.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32))) sinTheta_O) sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)
(+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
(+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
(+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
(+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))
(* -1 (* sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
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(+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)
(-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)
(-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)
(-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
(* sinTheta_i (- (* 6931/10000 (/ v sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))
(*.f32 sinTheta_i (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 6931/10000 binary32) v) sinTheta_i) sinTheta_O) (/.f32 #s(literal -1 binary32) sinTheta_i)))
(* sinTheta_i (- (* 6931/10000 (/ v sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))
(*.f32 sinTheta_i (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 6931/10000 binary32) v) sinTheta_i) sinTheta_O) (/.f32 #s(literal -1 binary32) sinTheta_i)))
(* sinTheta_i (- (* 6931/10000 (/ v sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))
(*.f32 sinTheta_i (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 6931/10000 binary32) v) sinTheta_i) sinTheta_O) (/.f32 #s(literal -1 binary32) sinTheta_i)))
(* -1 (* sinTheta_O sinTheta_i))
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 (neg.f32 sinTheta_i) (neg.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) sinTheta_i) sinTheta_O)))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 (neg.f32 sinTheta_i) (neg.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) sinTheta_i) sinTheta_O)))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 (neg.f32 sinTheta_i) (neg.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) sinTheta_i) sinTheta_O)))

eval199.0ms (1.2%)

Compiler

Compiled 57483 to 4128 computations (92.8% saved)

prune202.0ms (1.2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New2079162095
Fresh7310
Picked505
Done000
Total2091192110
Accuracy
99.9%
Counts
2110 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (*.f32 v #s(literal 2 binary32)))
▶99.8%
(/.f32 (pow.f32 (exp.f32 (neg.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) (*.f32 v #s(literal 2 binary32)))
99.7%
(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) v)) (*.f32 v #s(literal 2 binary32)))
99.7%
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (neg.f32 v)))) (*.f32 v #s(literal 2 binary32)))
▶99.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))) v)
99.3%
(/.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 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (+.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
99.7%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
99.7%
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) v))))
6.2%
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) v))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) v))
6.3%
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
2.6%
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
▶99.3%
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)))
99.7%
(*.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))))
99.7%
(*.f32 (exp.f32 (log.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))))
97.8%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
12.9%
(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
99.7%
(exp.f32 (+.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
▶13.6%
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
▶6.4%
#s(literal 1 binary32)
Compiler

Compiled 982 to 640 computations (34.8% saved)

simplify218.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 v #s(literal 2 binary32))
✓cost-diff0
(exp.f32 #s(literal 6931/10000 binary32))
✓cost-diff0
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
✓cost-diff3200
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)))
✓cost-diff0
(/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
✓cost-diff0
(exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)))
✓cost-diff0
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))) v)
✓cost-diff0
(/.f32 cosTheta_i v)
✓cost-diff0
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
✓cost-diff0
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
✓cost-diff0
(pow.f32 (exp.f32 (neg.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))))) (/.f32 #s(literal 1 binary32) (neg.f32 v)))
✓cost-diff0
(/.f32 (pow.f32 (exp.f32 (neg.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) (*.f32 v #s(literal 2 binary32)))
✓cost-diff32
(/.f32 #s(literal 1 binary32) (neg.f32 v))
✓cost-diff32
(neg.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))))
Rules
2082×fmm-def
2048×fma-lowering-fma.f32
2048×fma-lowering-fma.f64
1816×sum4-define
1602×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041281
1120269
2302260
3817260
42671260
57666260
08274260
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (pow (exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))) (/ 1 (neg v))) (* v 2))
(pow (exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))) (/ 1 (neg v)))
(exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))))))
(neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))
(+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))))
(* v 6931/10000)
v
6931/10000
(- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(+ 1 (* sinTheta_i sinTheta_O))
1
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ 1 (neg v))
(neg v)
(* v 2)
2
1
(exp (* (/ cosTheta_i v) cosTheta_O))
(* (/ cosTheta_i v) cosTheta_O)
(/ cosTheta_i v)
cosTheta_i
v
cosTheta_O
(/ (* 1/2 (exp (/ (- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i)) v))) v)
(* 1/2 (exp (/ (- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i)) v)))
1/2
(exp (/ (- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i)) v))
(/ (- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i)) v)
(- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i))
(+ (* 6931/10000 v) -1)
(* 6931/10000 v)
6931/10000
v
-1
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(* (/ (exp 6931/10000) (* v 2)) (exp (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)))
(/ (exp 6931/10000) (* v 2))
(exp 6931/10000)
6931/10000
(* v 2)
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)
(- (* 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
Outputs
(/ (pow (exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))) (/ 1 (neg v))) (* v 2))
(/.f32 (pow.f32 (exp.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 (*.f32 v #s(literal -6931/10000 binary32)) (*.f32 cosTheta_i cosTheta_O))))) (/.f32 #s(literal -1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
(pow (exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))) (/ 1 (neg v)))
(pow.f32 (exp.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 (*.f32 v #s(literal -6931/10000 binary32)) (*.f32 cosTheta_i cosTheta_O))))) (/.f32 #s(literal -1 binary32) v))
(exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))))))
(exp.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 (*.f32 v #s(literal -6931/10000 binary32)) (*.f32 cosTheta_i cosTheta_O)))))
(neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 sinTheta_i sinTheta_O) (-.f32 (*.f32 v #s(literal -6931/10000 binary32)) (*.f32 cosTheta_i cosTheta_O))))
(+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))))
(+.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))
(* v 6931/10000)
(*.f32 v #s(literal 6931/10000 binary32))
v
6931/10000
#s(literal 6931/10000 binary32)
(- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))
(+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(+ 1 (* sinTheta_i sinTheta_O))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))
1
#s(literal 1 binary32)
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ 1 (neg v))
(/.f32 #s(literal -1 binary32) v)
(neg v)
(neg.f32 v)
(* v 2)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)
1
#s(literal 1 binary32)
(exp (* (/ cosTheta_i v) cosTheta_O))
(exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(* (/ cosTheta_i v) cosTheta_O)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
v
cosTheta_O
(/ (* 1/2 (exp (/ (- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i)) v))) v)
(*.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)) (/.f32 #s(literal 1/2 binary32) v))
(* 1/2 (exp (/ (- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i)) v)))
(*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)))
1/2
#s(literal 1/2 binary32)
(exp (/ (- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i)) v))
(exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v))
(/ (- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i)) v)
(/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v)
(- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i))
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))
(+ (* 6931/10000 v) -1)
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
6931/10000
#s(literal 6931/10000 binary32)
v
-1
#s(literal -1 binary32)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
sinTheta_i
(* (/ (exp 6931/10000) (* v 2)) (exp (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)))
(/.f32 (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 v #s(literal 2 binary32)))
(/ (exp 6931/10000) (* v 2))
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
6931/10000
#s(literal 6931/10000 binary32)
(* v 2)
(*.f32 v #s(literal 2 binary32))
v
2
#s(literal 2 binary32)
(exp (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v))
(exp.f32 (/.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) 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
1
#s(literal 1 binary32)

localize237.0ms (1.4%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
✓accuracy99.7%
(exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))
✓accuracy99.6%
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)))
✓accuracy99.1%
(/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32)))
✓accuracy100.0%
(+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32))
✓accuracy99.9%
(/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
✓accuracy99.7%
(exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
✓accuracy98.6%
(*.f32 #s(literal 6931/10000 binary32) v)
✓accuracy100.0%
(/.f32 cosTheta_i v)
✓accuracy99.9%
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
✓accuracy99.2%
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
✓accuracy100.0%
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))
✓accuracy99.9%
(exp.f32 (neg.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))))
✓accuracy99.7%
(pow.f32 (exp.f32 (neg.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))))) (/.f32 #s(literal 1 binary32) (neg.f32 v)))
✓accuracy98.6%
(*.f32 v #s(literal 6931/10000 binary32))
Results
179.0ms256×0valid
Compiler

Compiled 312 to 42 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-mult: 31.0ms (39.8% of total)
ival-div: 12.0ms (15.4% of total)
ival-exp: 12.0ms (15.4% of total)
ival-pow: 6.0ms (7.7% of total)
ival-sub: 5.0ms (6.4% of total)
...c/correct-round.rkt:119:19: 5.0ms (6.4% of total)
ival-add: 4.0ms (5.1% of total)
ival-neg: 3.0ms (3.8% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series354.0ms (2.1%)

Counts
22 → 780
Calls
Call 1
Inputs
#<alt (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))>
#<alt (/ 1 (neg v))>
#<alt (/ (pow (exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))) (/ 1 (neg v))) (* v 2))>
#<alt (pow (exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))) (/ 1 (neg v)))>
#<alt (exp (* (/ cosTheta_i v) cosTheta_O))>
#<alt (* (/ cosTheta_i v) cosTheta_O)>
#<alt (/ cosTheta_i v)>
#<alt (/ (* 1/2 (exp (/ (- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i)) v))) v)>
#<alt (* 1/2 (exp (/ (- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i)) v)))>
#<alt (exp (/ (- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i)) v))>
#<alt (/ (- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i)) v)>
#<alt (* (/ (exp 6931/10000) (* v 2)) (exp (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)))>
#<alt (/ (exp 6931/10000) (* v 2))>
#<alt (exp 6931/10000)>
#<alt (* v 2)>
#<alt (* v 6931/10000)>
#<alt (exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))))))>
#<alt (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))))>
#<alt (* 6931/10000 v)>
#<alt (+ (* 6931/10000 v) -1)>
#<alt (exp (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v))>
#<alt (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))>
Outputs
#<alt (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))>
#<alt (- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i))>
#<alt (- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i))>
#<alt (- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i))>
#<alt (* -6931/10000 v)>
#<alt (* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (* -6931/10000 v)>
#<alt (* -1 (* v (+ 6931/10000 (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)))))>
#<alt (* -1 (* v (+ 6931/10000 (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)))))>
#<alt (* -1 (* v (+ 6931/10000 (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)))))>
#<alt (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v))>
#<alt (- (+ 1 (+ (* -1 (* cosTheta_O cosTheta_i)) (* sinTheta_O sinTheta_i))) (* 6931/10000 v))>
#<alt (- (+ 1 (+ (* -1 (* cosTheta_O cosTheta_i)) (* sinTheta_O sinTheta_i))) (* 6931/10000 v))>
#<alt (- (+ 1 (+ (* -1 (* cosTheta_O cosTheta_i)) (* sinTheta_O sinTheta_i))) (* 6931/10000 v))>
#<alt (* -1 (* cosTheta_O cosTheta_i))>
#<alt (* cosTheta_i (- (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)) (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i)))))>
#<alt (* cosTheta_i (- (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)) (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i)))))>
#<alt (* cosTheta_i (- (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)) (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i)))))>
#<alt (* -1 (* cosTheta_O cosTheta_i))>
#<alt (* -1 (* cosTheta_i (- (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) cosTheta_i)) (* -1 cosTheta_O))))>
#<alt (* -1 (* cosTheta_i (- (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) cosTheta_i)) (* -1 cosTheta_O))))>
#<alt (* -1 (* cosTheta_i (- (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) cosTheta_i)) (* -1 cosTheta_O))))>
#<alt (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v))>
#<alt (- (+ 1 (+ (* -1 (* cosTheta_O cosTheta_i)) (* sinTheta_O sinTheta_i))) (* 6931/10000 v))>
#<alt (- (+ 1 (+ (* -1 (* cosTheta_O cosTheta_i)) (* sinTheta_O sinTheta_i))) (* 6931/10000 v))>
#<alt (- (+ 1 (+ (* -1 (* cosTheta_O cosTheta_i)) (* sinTheta_O sinTheta_i))) (* 6931/10000 v))>
#<alt (* -1 (* cosTheta_O cosTheta_i))>
#<alt (* cosTheta_O (- (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)) (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O)))))>
#<alt (* cosTheta_O (- (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)) (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O)))))>
#<alt (* cosTheta_O (- (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)) (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O cosTheta_i))>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) cosTheta_O)) (* -1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) cosTheta_O)) (* -1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) cosTheta_O)) (* -1 cosTheta_i))))>
#<alt (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))>
#<alt (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))>
#<alt (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))>
#<alt (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_i (- (+ sinTheta_O (/ 1 sinTheta_i)) (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i))))>
#<alt (* sinTheta_i (- (+ sinTheta_O (/ 1 sinTheta_i)) (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i))))>
#<alt (* sinTheta_i (- (+ sinTheta_O (/ 1 sinTheta_i)) (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i))))>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* -1 (* sinTheta_i (+ (* -1 sinTheta_O) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_i)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 sinTheta_O) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_i)))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 sinTheta_O) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_i)))))>
#<alt (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))>
#<alt (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))>
#<alt (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))>
#<alt (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O (- (+ sinTheta_i (/ 1 sinTheta_O)) (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O))))>
#<alt (* sinTheta_O (- (+ sinTheta_i (/ 1 sinTheta_O)) (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O))))>
#<alt (* sinTheta_O (- (+ sinTheta_i (/ 1 sinTheta_O)) (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O))))>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* -1 (* sinTheta_O (+ (* -1 sinTheta_i) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_O)))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 sinTheta_i) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_O)))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 sinTheta_i) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_O)))))>
#<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 (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (/ 1/2 v)>
#<alt (/ (+ 1/2 (* -1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v)>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v)) (* 1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 2) (pow v 2))))) v)>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v)) (+ (* -1/12 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 3) (pow v 3))) (* 1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 2) (pow v 2)))))) v)>
#<alt (/ 1/2 v)>
#<alt (* -1 (/ (- (* 1/2 (/ (- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)) v)) 1/2) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1/2 (- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i))) (* 1/4 (/ (pow (- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)) 2) v))) v)) 1/2) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow (- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)) 2)) (* 1/12 (/ (pow (- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)) 3) v))) v)) (* -1/2 (- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)))) v)) 1/2) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v))) v))>
#<alt (+ (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v)))) (pow v 2))) (* 1/2 (/ (* cosTheta_i (* (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v))) (+ (* -1/2 (/ (+ (* -1 (pow cosTheta_O 2)) (pow cosTheta_O 2)) v)) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2)))))) v)))))>
#<alt (+ (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v)))) (pow v 2))) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_i (* (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v))) (+ (* -1/2 (/ (* cosTheta_O (+ (* -1 (pow cosTheta_O 2)) (pow cosTheta_O 2))) (pow v 2))) (+ (* -1/6 (/ (+ (* -2 (pow cosTheta_O 3)) (+ (* -1 (pow cosTheta_O 3)) (* 3 (pow cosTheta_O 3)))) v)) (* 1/6 (/ (pow cosTheta_O 3) (pow v 3))))))) v)) (* 1/2 (/ (* (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v))) (+ (* -1/2 (/ (+ (* -1 (pow cosTheta_O 2)) (pow cosTheta_O 2)) v)) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2))))) v)))))))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v))) v))>
#<alt (+ (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v))) (+ (* -1/2 (/ (+ (* -1 (pow cosTheta_i 2)) (pow cosTheta_i 2)) v)) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2)))))) v)) (* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v)))) (pow v 2))))))>
#<alt (+ (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v)))) (pow v 2))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v))) (+ (* -1/2 (/ (* cosTheta_i (+ (* -1 (pow cosTheta_i 2)) (pow cosTheta_i 2))) (pow v 2))) (+ (* -1/6 (/ (+ (* -2 (pow cosTheta_i 3)) (+ (* -1 (pow cosTheta_i 3)) (* 3 (pow cosTheta_i 3)))) v)) (* 1/6 (/ (pow cosTheta_i 3) (pow v 3))))))) v)) (* 1/2 (/ (* (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) v))) (+ (* -1/2 (/ (+ (* -1 (pow cosTheta_i 2)) (pow cosTheta_i 2)) v)) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2))))) v)))))))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))))) (pow v 2))) (* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v)))>
#<alt (+ (* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v)))) (pow v 2))) (* 1/2 (/ (* sinTheta_i (* (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) (+ (* -1/2 (/ (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)) v)) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))))) v)))))>
#<alt (+ (* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v)) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v)))) (pow v 2))) (* sinTheta_i (+ (* 1/2 (/ (* sinTheta_i (* (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) (+ (* -1/6 (/ (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))) v)) (+ (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (* sinTheta_O (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))) (pow v 2))))))) v)) (* 1/2 (/ (* (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) (+ (* -1/2 (/ (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)) v)) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) v)))))))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))))) (pow v 2))) (* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v)))>
#<alt (+ (* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v)) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v)))) (pow v 2))) (* 1/2 (/ (* sinTheta_O (* (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) (+ (* -1/2 (/ (+ (* -1 (pow sinTheta_i 2)) (pow sinTheta_i 2)) v)) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2)))))) v)))))>
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#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))>
#<alt (* sinTheta_O (- (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_O)) (* -1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_O)) (* -1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_O)) (* -1 sinTheta_i))))>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt -1>
#<alt (- (* 6931/10000 v) 1)>
#<alt (- (* 6931/10000 v) 1)>
#<alt (- (* 6931/10000 v) 1)>
#<alt (* 6931/10000 v)>
#<alt (* v (- 6931/10000 (/ 1 v)))>
#<alt (* v (- 6931/10000 (/ 1 v)))>
#<alt (* v (- 6931/10000 (/ 1 v)))>
#<alt (* 6931/10000 v)>
#<alt (* -1 (* v (- (/ 1 v) 6931/10000)))>
#<alt (* -1 (* v (- (/ 1 v) 6931/10000)))>
#<alt (* -1 (* v (- (/ 1 v) 6931/10000)))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) v))>
#<alt (+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (/ (* cosTheta_O (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))>
#<alt (+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) v))>
#<alt (+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (/ (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))>
#<alt (+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))>
#<alt (+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt 1>
#<alt (- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v))) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v))) v)))>
#<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))))>
Calls

195 calls:

TimeVariablePointExpression
99.0ms
sinTheta_i
@-inf
(/ (pow (exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))) (/ 1 (neg v))) (* v 2))
42.0ms
cosTheta_i
@-inf
(/ (pow (exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))) (/ 1 (neg v))) (* v 2))
28.0ms
sinTheta_O
@inf
(/ (pow (exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))) (/ 1 (neg v))) (* v 2))
28.0ms
cosTheta_i
@inf
(/ (pow (exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))) (/ 1 (neg v))) (* v 2))
23.0ms
sinTheta_O
@-inf
(/ (pow (exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))) (/ 1 (neg v))) (* v 2))

rewrite720.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
3938×*-lowering-*.f32
3938×*-lowering-*.f64
2408×/-lowering-/.f32
2408×/-lowering-/.f64
2406×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041196
1263186
22154178
09464178
Stop Event
1×iter limit
1×node limit
Counts
22 → 601
Calls
Call 1
Inputs
(neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))
(/ 1 (neg v))
(/ (pow (exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))) (/ 1 (neg v))) (* v 2))
(pow (exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O)))))) (/ 1 (neg v)))
(exp (* (/ cosTheta_i v) cosTheta_O))
(* (/ cosTheta_i v) cosTheta_O)
(/ cosTheta_i v)
(/ (* 1/2 (exp (/ (- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i)) v))) v)
(* 1/2 (exp (/ (- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i)) v)))
(exp (/ (- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i)) v))
(/ (- (+ (* 6931/10000 v) -1) (* sinTheta_O sinTheta_i)) v)
(* (/ (exp 6931/10000) (* v 2)) (exp (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v)))
(/ (exp 6931/10000) (* v 2))
(exp 6931/10000)
(* v 2)
(* v 6931/10000)
(exp (neg (+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))))))
(+ (* v 6931/10000) (- (* cosTheta_i cosTheta_O) (+ 1 (* sinTheta_i sinTheta_O))))
(* 6931/10000 v)
(+ (* 6931/10000 v) -1)
(exp (/ (- (- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O)) 1) v))
(- (* cosTheta_i cosTheta_O) (* sinTheta_i sinTheta_O))
Outputs
(neg.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(neg.f32 (log.f32 (/.f32 (exp.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))))) #s(literal 1 binary32))))
(+.f32 (-.f32 (*.f32 v #s(literal -6931/10000 binary32)) (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (fma.f32 #s(literal -6931/10000 binary32) v (*.f32 v #s(literal 6931/10000 binary32))))
(+.f32 (-.f32 (*.f32 v #s(literal -6931/10000 binary32)) (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (fma.f32 (neg.f32 v) #s(literal 6931/10000 binary32) (*.f32 v #s(literal 6931/10000 binary32))))
(+.f32 #s(literal 0 binary32) (-.f32 (*.f32 v #s(literal -6931/10000 binary32)) (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (*.f32 v #s(literal -6931/10000 binary32)) (neg.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (*.f32 v #s(literal -6931/10000 binary32)) (*.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32)))
(+.f32 (neg.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v #s(literal -6931/10000 binary32)))
(+.f32 (*.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32)) (*.f32 v #s(literal -6931/10000 binary32)))
(+.f32 (-.f32 #s(literal 0 binary32) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (*.f32 cosTheta_i cosTheta_O))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (fma.f32 v #s(literal -6931/10000 binary32) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) #s(literal -1 binary32))))) (fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))) (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) #s(literal -1 binary32)))))
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(+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O))))
(+.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))
(+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 cosTheta_i cosTheta_O))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_O (*.f32 #s(literal 1 binary32) sinTheta_i)))) (fma.f32 (neg.f32 sinTheta_O) (*.f32 #s(literal 1 binary32) sinTheta_i) (*.f32 sinTheta_O (*.f32 #s(literal 1 binary32) sinTheta_i))))
(+.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (*.f32 sinTheta_i (*.f32 #s(literal 1 binary32) sinTheta_O)))) (fma.f32 (neg.f32 sinTheta_i) (*.f32 #s(literal 1 binary32) sinTheta_O) (*.f32 sinTheta_i (*.f32 #s(literal 1 binary32) sinTheta_O))))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_O (*.f32 #s(literal 1 binary32) sinTheta_i)))) (fma.f32 (neg.f32 sinTheta_O) (*.f32 #s(literal 1 binary32) sinTheta_i) (*.f32 sinTheta_O (*.f32 #s(literal 1 binary32) sinTheta_i))))
(+.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 sinTheta_i (*.f32 #s(literal 1 binary32) sinTheta_O)))) (fma.f32 (neg.f32 sinTheta_i) (*.f32 #s(literal 1 binary32) sinTheta_O) (*.f32 sinTheta_i (*.f32 #s(literal 1 binary32) sinTheta_O))))
(pow.f32 (/.f32 (+.f32 (*.f32 (*.f32 cosTheta_i 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 cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) #s(literal -1 binary32))
(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 #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 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 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O) (*.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 (neg.f32 sinTheta_O) sinTheta_i (*.f32 cosTheta_i cosTheta_O))
(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 cosTheta_i 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 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)))
(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 cosTheta_i 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 (*.f32 cosTheta_i 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 (*.f32 cosTheta_i 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))))
(-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (+.f32 (*.f32 (*.f32 cosTheta_i 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 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (+.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_O) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))))
(-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 cosTheta_i 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 cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (+.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_O) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (+.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (-.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))) (*.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))))) (neg.f32 (+.f32 (*.f32 (*.f32 cosTheta_i 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 (neg.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (neg.f32 (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O))))) (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 (-.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O)))) (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) #s(literal 1 binary32)) (+.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_O) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O)))) #s(literal 1 binary32)) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))
(*.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))
(*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32))
(*.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_O) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))))
(*.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 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))))

simplify583.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
6640×*-lowering-*.f32
6640×*-lowering-*.f64
4798×+-lowering-+.f64
4798×+-lowering-+.f32
1408×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114813069
1399312183
0843812183
Stop Event
1×iter limit
1×node limit
Counts
780 → 780
Calls
Call 1
Inputs
(- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i))
(- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i))
(- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i))
(* -6931/10000 v)
(* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(* -6931/10000 v)
(* -1 (* v (+ 6931/10000 (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)))))
(* -1 (* v (+ 6931/10000 (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)))))
(* -1 (* v (+ 6931/10000 (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)))))
(- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v))
(- (+ 1 (+ (* -1 (* cosTheta_O cosTheta_i)) (* sinTheta_O sinTheta_i))) (* 6931/10000 v))
(- (+ 1 (+ (* -1 (* cosTheta_O cosTheta_i)) (* sinTheta_O sinTheta_i))) (* 6931/10000 v))
(- (+ 1 (+ (* -1 (* cosTheta_O cosTheta_i)) (* sinTheta_O sinTheta_i))) (* 6931/10000 v))
(* -1 (* cosTheta_O cosTheta_i))
(* cosTheta_i (- (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)) (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i)))))
(* cosTheta_i (- (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)) (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i)))))
(* cosTheta_i (- (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)) (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i)))))
(* -1 (* cosTheta_O cosTheta_i))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) cosTheta_i)) (* -1 cosTheta_O))))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) cosTheta_i)) (* -1 cosTheta_O))))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) cosTheta_i)) (* -1 cosTheta_O))))
(- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v))
(- (+ 1 (+ (* -1 (* cosTheta_O cosTheta_i)) (* sinTheta_O sinTheta_i))) (* 6931/10000 v))
(- (+ 1 (+ (* -1 (* cosTheta_O cosTheta_i)) (* sinTheta_O sinTheta_i))) (* 6931/10000 v))
(- (+ 1 (+ (* -1 (* cosTheta_O cosTheta_i)) (* sinTheta_O sinTheta_i))) (* 6931/10000 v))
(* -1 (* cosTheta_O cosTheta_i))
(* cosTheta_O (- (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)) (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O)))))
(* cosTheta_O (- (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)) (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O)))))
(* cosTheta_O (- (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)) (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O)))))
(* -1 (* cosTheta_O cosTheta_i))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) cosTheta_O)) (* -1 cosTheta_i))))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) cosTheta_O)) (* -1 cosTheta_i))))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) cosTheta_O)) (* -1 cosTheta_i))))
(- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
(- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
(- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
(- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
(* sinTheta_O sinTheta_i)
(* sinTheta_i (- (+ sinTheta_O (/ 1 sinTheta_i)) (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i))))
(* sinTheta_i (- (+ sinTheta_O (/ 1 sinTheta_i)) (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i))))
(* sinTheta_i (- (+ sinTheta_O (/ 1 sinTheta_i)) (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i))))
(* sinTheta_O sinTheta_i)
(* -1 (* sinTheta_i (+ (* -1 sinTheta_O) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 sinTheta_O) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_i)))))
(* -1 (* sinTheta_i (+ (* -1 sinTheta_O) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_i)))))
(- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
(- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
(- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
(- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
(* sinTheta_O sinTheta_i)
(* sinTheta_O (- (+ sinTheta_i (/ 1 sinTheta_O)) (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O))))
(* sinTheta_O (- (+ sinTheta_i (/ 1 sinTheta_O)) (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O))))
(* sinTheta_O (- (+ sinTheta_i (/ 1 sinTheta_O)) (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O))))
(* sinTheta_O sinTheta_i)
(* -1 (* sinTheta_O (+ (* -1 sinTheta_i) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 sinTheta_i) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_O)))))
(* -1 (* sinTheta_O (+ (* -1 sinTheta_i) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_O)))))
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
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(/ -1 v)
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(/ -1 v)
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(/ 1/2 v)
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(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(+ (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))) (* sinTheta_O (* sinTheta_i (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))))))
(+ (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))) (* sinTheta_O (+ (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))))) (* sinTheta_i (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))))))
(+ (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))))) (* 1/2 (* (pow sinTheta_i 2) (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))))))) (* sinTheta_i (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(* 6931/10000 v)
(* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(* 6931/10000 v)
(* -1 (* v (- (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) 6931/10000)))
(* -1 (* v (- (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) 6931/10000)))
(* -1 (* v (- (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) 6931/10000)))
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (- (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (- (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (- (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)))))
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(* cosTheta_O cosTheta_i)
(* cosTheta_O (- (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (- (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (- (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)))))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))
(* sinTheta_i (- (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))
(* sinTheta_i (- (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_i)) (* -1 sinTheta_O))))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))
(* sinTheta_O (- (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))
(* sinTheta_O (- (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) sinTheta_O)) (* -1 sinTheta_i))))
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
-1
(- (* 6931/10000 v) 1)
(- (* 6931/10000 v) 1)
(- (* 6931/10000 v) 1)
(* 6931/10000 v)
(* v (- 6931/10000 (/ 1 v)))
(* v (- 6931/10000 (/ 1 v)))
(* v (- 6931/10000 (/ 1 v)))
(* 6931/10000 v)
(* -1 (* v (- (/ 1 v) 6931/10000)))
(* -1 (* v (- (/ 1 v) 6931/10000)))
(* -1 (* v (- (/ 1 v) 6931/10000)))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) v))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (/ (* cosTheta_O (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (pow v 2))))) (/ (* cosTheta_O (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) v))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 2))) (/ (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(+ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (pow v 2))))) (/ (* cosTheta_i (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) v))))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
1
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v))) v)))
(* -1 (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(* -1 (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
Outputs
(- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(+.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 sinTheta_O sinTheta_i))
(- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i))
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))))
(- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i))
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))))
(- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i))
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))))
(* -6931/10000 v)
(*.f32 #s(literal -6931/10000 binary32) v)
(* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(*.f32 v (+.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(* -6931/10000 v)
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(* -1 (* v (+ 6931/10000 (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) v)))))
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(* -1 (* cosTheta_O cosTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i))
(* cosTheta_i (- (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)) (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i)))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (+.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) cosTheta_i)))))
(* cosTheta_i (- (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)) (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i)))))
(*.f32 cosTheta_i (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (+.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) cosTheta_i)))))
(* cosTheta_i (- (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)) (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i)))))
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(* -1 (* cosTheta_O cosTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) cosTheta_i)) (* -1 cosTheta_O))))
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(* -1 (* cosTheta_O cosTheta_i))
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(* cosTheta_O (- (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)) (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O)))))
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(* cosTheta_O (- (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)) (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) (+.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) cosTheta_O)))))
(* cosTheta_O (- (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)) (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) (+.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) cosTheta_O)))))
(* -1 (* cosTheta_O cosTheta_i))
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(* -1 (* cosTheta_O (- (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) cosTheta_O)) (* -1 cosTheta_i))))
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(* -1 (* cosTheta_O (- (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) cosTheta_O)) (* -1 cosTheta_i))))
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(- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
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(- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
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(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_i (- (+ sinTheta_O (/ 1 sinTheta_i)) (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i))))
(*.f32 sinTheta_i (-.f32 (+.f32 sinTheta_O (/.f32 #s(literal 1 binary32) sinTheta_i)) (+.f32 (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) sinTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(* sinTheta_i (- (+ sinTheta_O (/ 1 sinTheta_i)) (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i))))
(*.f32 sinTheta_i (-.f32 (+.f32 sinTheta_O (/.f32 #s(literal 1 binary32) sinTheta_i)) (+.f32 (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) sinTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(* sinTheta_i (- (+ sinTheta_O (/ 1 sinTheta_i)) (+ (* 6931/10000 (/ v sinTheta_i)) (/ (* cosTheta_O cosTheta_i) sinTheta_i))))
(*.f32 sinTheta_i (-.f32 (+.f32 sinTheta_O (/.f32 #s(literal 1 binary32) sinTheta_i)) (+.f32 (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) sinTheta_i) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* -1 (* sinTheta_i (+ (* -1 sinTheta_O) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_i)))))
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(* -1 (* sinTheta_i (+ (* -1 sinTheta_O) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_i)))))
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(* -1 (* sinTheta_i (+ (* -1 sinTheta_O) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_i)))))
(*.f32 (neg.f32 (+.f32 sinTheta_O (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))) sinTheta_i))) (neg.f32 sinTheta_i))
(- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
(-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))
(- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
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(- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
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(- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))
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(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O (- (+ sinTheta_i (/ 1 sinTheta_O)) (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O))))
(*.f32 sinTheta_O (-.f32 (+.f32 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) sinTheta_O) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O))))
(* sinTheta_O (- (+ sinTheta_i (/ 1 sinTheta_O)) (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O))))
(*.f32 sinTheta_O (-.f32 (+.f32 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) sinTheta_O) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O))))
(* sinTheta_O (- (+ sinTheta_i (/ 1 sinTheta_O)) (+ (* 6931/10000 (/ v sinTheta_O)) (/ (* cosTheta_O cosTheta_i) sinTheta_O))))
(*.f32 sinTheta_O (-.f32 (+.f32 sinTheta_i (/.f32 #s(literal 1 binary32) sinTheta_O)) (+.f32 (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) sinTheta_O) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O))))
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* -1 (* sinTheta_O (+ (* -1 sinTheta_i) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_O)))))
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(* -1 (* sinTheta_O (+ (* -1 sinTheta_i) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_O)))))
(*.f32 (neg.f32 sinTheta_O) (-.f32 (neg.f32 sinTheta_i) (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))) sinTheta_O)))
(* -1 (* sinTheta_O (+ (* -1 sinTheta_i) (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) sinTheta_O)))))
(*.f32 (neg.f32 sinTheta_O) (-.f32 (neg.f32 sinTheta_i) (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))) sinTheta_O)))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
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(/ -1 v)
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(* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
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(* 1/2 (/ (exp (* -1 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
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(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ (+ 1/2 (* -1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v)
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(/ (+ 1/2 (+ (* -1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v)) (* 1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 2) (pow v 2))))) v)
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(/ (+ 1/2 (+ (* -1/2 (/ (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v)) (+ (* -1/12 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 3) (pow v 3))) (* 1/4 (/ (pow (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 2) (pow v 2)))))) v)
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(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(* -1 (/ (- (* 1/2 (/ (- (+ 1 (+ (* -6931/10000 v) (* sinTheta_O sinTheta_i))) (* cosTheta_O cosTheta_i)) v)) 1/2) v))
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(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))))
(+ (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))) (* sinTheta_O (* sinTheta_i (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(+ (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))) (* sinTheta_i (+ (* 1/2 (* (pow sinTheta_O 2) (* sinTheta_i (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))))) (* sinTheta_O (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))))))
(+.f32 (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))) (*.f32 sinTheta_O (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))))))))
(+ (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))) (* sinTheta_i (+ (* sinTheta_O (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))) (* sinTheta_i (+ (* 1/6 (* (pow sinTheta_O 3) (* sinTheta_i (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))))) (* 1/2 (* (pow sinTheta_O 2) (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))))))))))
(+.f32 (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_O (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))))) (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i) (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))))))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))))
(+ (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))) (* sinTheta_O (* sinTheta_i (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)) (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(+ (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))) (* sinTheta_O (+ (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))))) (* sinTheta_i (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))))))
(+.f32 (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))) (*.f32 sinTheta_O (+.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))))))
(+ (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (* sinTheta_O (* (pow sinTheta_i 3) (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))))) (* 1/2 (* (pow sinTheta_i 2) (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)))))))) (* sinTheta_i (exp (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))))))
(+.f32 (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))) (*.f32 sinTheta_O (+.f32 (*.f32 sinTheta_i (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))))) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))))))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(exp (- (+ 1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))))
(exp.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))))
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
(* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 v (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 v (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 v (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
(* -1 (* v (- (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) 6931/10000)))
(*.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal -6931/10000 binary32)) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) 6931/10000)))
(*.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal -6931/10000 binary32)) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)) 6931/10000)))
(*.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v)) #s(literal -6931/10000 binary32)) (neg.f32 v))
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_i (- (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (-.f32 (+.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) cosTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (- (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (-.f32 (+.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) cosTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_i (- (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (-.f32 (+.f32 cosTheta_O (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) cosTheta_i)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_i)) cosTheta_O))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_i)) cosTheta_O))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_i)))))
(*.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_i)) cosTheta_O))
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O (- (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (-.f32 (+.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (- (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (-.f32 (+.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O (- (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (-.f32 (+.f32 cosTheta_i (/.f32 (*.f32 v #s(literal 6931/10000 binary32)) cosTheta_O)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_O)) cosTheta_i))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_O)) cosTheta_i))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) cosTheta_O)))))
(*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_O)) cosTheta_i))
(- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) 1)
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(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) 1) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) v)))
(-.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))) v))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 2))))))
(+.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))) (*.f32 v v)) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))) v))))
(+ (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (/ (- (* cosTheta_O cosTheta_i) 1) v))) (pow v 2))))))))
(+.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (*.f32 sinTheta_O (-.f32 (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) v) (/.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (*.f32 v v)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))) (*.f32 v v)))) (/.f32 (*.f32 sinTheta_i (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))) v))))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
1
#s(literal 1 binary32)
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(- (+ 1 (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) 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))) v) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(- (+ 1 (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) (pow v 3))) (+ (* 1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v)))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (+.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) 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))) v) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (*.f32 v (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
1
#s(literal 1 binary32)
(- (+ 1 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) v) (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v))
(+ 1 (* -1 (/ (+ (* -1 (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* 1/6 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3) v)) (* 1/2 (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) v) (*.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) v)) v))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)))
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_i))))
(*.f32 (neg.f32 cosTheta_i) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O)))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O)))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_O))))
(*.f32 (neg.f32 cosTheta_O) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O) cosTheta_i))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 (neg.f32 sinTheta_i) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 (neg.f32 sinTheta_i) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 (neg.f32 sinTheta_i) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (neg.f32 sinTheta_O) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (neg.f32 sinTheta_O) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (neg.f32 sinTheta_O) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_i))

eval176.0ms (1.1%)

Compiler

Compiled 46682 to 4279 computations (90.8% saved)

prune189.0ms (1.1%)

Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1384111395
Fresh7714
Picked325
Done000
Total1394201414
Accuracy
99.9%
Counts
1414 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f32 (pow.f32 (pow.f32 (exp.f32 (-.f32 (*.f32 v #s(literal -6931/10000 binary32)) (+.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)) (*.f32 v #s(literal 2 binary32)))
▶99.8%
(/.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) (*.f32 v #s(literal 2 binary32)))
99.7%
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal -1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
▶99.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))))) v)
99.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) v)
▶99.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))))) v)
99.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v))) v)
99.3%
(/.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 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (+.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
99.7%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
6.2%
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)))) v) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) v))
▶6.3%
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
3.7%
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))) (*.f32 v v)))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))))
2.6%
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))))))))
99.3%
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))
99.7%
(*.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))))
99.7%
(*.f32 (exp.f32 (log.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))))
97.8%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
▶12.9%
(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
✓13.6%
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
✓6.4%
#s(literal 1 binary32)
Compiler

Compiled 1019 to 660 computations (35.2% saved)

simplify204.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f32 (/.f32 #s(literal 1 binary32) v))
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))))
✓cost-diff0
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))))) v)
✓cost-diff3232
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))))
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v)))))
✓cost-diff0
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))))) v)
✓cost-diff32
(/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))))
✓cost-diff-32
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
✓cost-diff0
(neg.f32 sinTheta_i)
✓cost-diff0
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
✓cost-diff0
(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
✓cost-diff0
(*.f32 cosTheta_O cosTheta_i)
✓cost-diff0
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓cost-diff0
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
✓cost-diff0
(exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))))
✓cost-diff0
(pow.f32 (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 v)))
✓cost-diff0
(/.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) (*.f32 v #s(literal 2 binary32)))
✓cost-diff32
(/.f32 #s(literal 1 binary32) (neg.f32 v))
Rules
1874×fma-lowering-fma.f32
1874×fma-lowering-fma.f64
1850×fmsub-define
1756×fnmsub-define
1528×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039282
198273
2212261
3497255
41489255
55125255
08423255
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (pow (exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000)))) (/ 1 (neg v))) (* v 2))
(pow (exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000)))) (/ 1 (neg v)))
(exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000))))
(- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000)))
1
(+ (* cosTheta_O cosTheta_i) (* v 6931/10000))
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(* v 6931/10000)
v
6931/10000
(/ 1 (neg v))
(neg v)
(* v 2)
2
(+ (/ (* cosTheta_O cosTheta_i) v) 1)
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
1
(exp (/ (* sinTheta_O (neg sinTheta_i)) v))
(/ (* sinTheta_O (neg sinTheta_i)) v)
(* sinTheta_O (neg sinTheta_i))
sinTheta_O
(neg sinTheta_i)
sinTheta_i
v
(/ (* 1/2 (/ 1 (exp (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v))))) v)
(* 1/2 (/ 1 (exp (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v)))))
1/2
(/ 1 (exp (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v))))
1
(exp (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v)))
(/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v))
(+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O)))
(* v 6931/10000)
v
6931/10000
(- -1 (* sinTheta_i sinTheta_O))
-1
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(neg v)
(/ (* 1/2 (pow (exp (/ 1 v)) (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))))) v)
(* 1/2 (pow (exp (/ 1 v)) (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O)))))
1/2
(pow (exp (/ 1 v)) (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))))
(exp (/ 1 v))
(/ 1 v)
1
v
(+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O)))
(* v 6931/10000)
6931/10000
(- -1 (* sinTheta_i sinTheta_O))
-1
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
Outputs
(/ (pow (exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000)))) (/ 1 (neg v))) (* v 2))
(/.f32 (pow.f32 (exp.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v #s(literal -6931/10000 binary32)))) (/.f32 #s(literal -1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
(pow (exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000)))) (/ 1 (neg v)))
(pow.f32 (exp.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v #s(literal -6931/10000 binary32)))) (/.f32 #s(literal -1 binary32) v))
(exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000))))
(exp.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v #s(literal -6931/10000 binary32))))
(- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000)))
(+.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v #s(literal -6931/10000 binary32)))
1
#s(literal 1 binary32)
(+ (* cosTheta_O cosTheta_i) (* v 6931/10000))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(* v 6931/10000)
(*.f32 v #s(literal 6931/10000 binary32))
v
6931/10000
#s(literal 6931/10000 binary32)
(/ 1 (neg v))
(/.f32 #s(literal -1 binary32) v)
(neg v)
(neg.f32 v)
(* v 2)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)
(+ (/ (* cosTheta_O cosTheta_i) v) 1)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/ (* 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
1
#s(literal 1 binary32)
(exp (/ (* sinTheta_O (neg sinTheta_i)) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i #s(literal -1 binary32))) v))
(/ (* sinTheta_O (neg sinTheta_i)) v)
(/.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i #s(literal -1 binary32))) v)
(* sinTheta_O (neg sinTheta_i))
(*.f32 sinTheta_O (/.f32 sinTheta_i #s(literal -1 binary32)))
sinTheta_O
(neg sinTheta_i)
(neg.f32 sinTheta_i)
sinTheta_i
v
(/ (* 1/2 (/ 1 (exp (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v))))) v)
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v #s(literal -6931/10000 binary32)))) v)))
(* 1/2 (/ 1 (exp (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v)))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v #s(literal -6931/10000 binary32)))) v)))
1/2
#s(literal 1/2 binary32)
(/ 1 (exp (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v))))
(exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
1
#s(literal 1 binary32)
(exp (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v)))
(exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v #s(literal -6931/10000 binary32)))) v))
(/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v))
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v #s(literal -6931/10000 binary32)))) v)
(+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O)))
(-.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(* v 6931/10000)
(*.f32 v #s(literal 6931/10000 binary32))
v
6931/10000
#s(literal 6931/10000 binary32)
(- -1 (* sinTheta_i sinTheta_O))
(-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
-1
#s(literal -1 binary32)
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
(neg v)
(neg.f32 v)
(/ (* 1/2 (pow (exp (/ 1 v)) (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))))) v)
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v #s(literal -6931/10000 binary32)))) v)))
(* 1/2 (pow (exp (/ 1 v)) (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O)))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v #s(literal -6931/10000 binary32)))) v)))
1/2
#s(literal 1/2 binary32)
(pow (exp (/ 1 v)) (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))))
(exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
v
(+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O)))
(-.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(* v 6931/10000)
(*.f32 v #s(literal 6931/10000 binary32))
6931/10000
#s(literal 6931/10000 binary32)
(- -1 (* sinTheta_i sinTheta_O))
(-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))
-1
#s(literal -1 binary32)
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O

localize235.0ms (1.4%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))
✓accuracy99.8%
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))))
✓accuracy99.7%
(exp.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy98.6%
(*.f32 v #s(literal 6931/10000 binary32))
✓accuracy100.0%
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))))
✓accuracy99.9%
(/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))
✓accuracy99.7%
(exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v)))
✓accuracy98.6%
(*.f32 v #s(literal 6931/10000 binary32))
✓accuracy100.0%
(*.f32 sinTheta_O (neg.f32 sinTheta_i))
✓accuracy100.0%
(neg.f32 sinTheta_i)
✓accuracy99.8%
(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
✓accuracy74.6%
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
✓accuracy100.0%
(*.f32 cosTheta_O cosTheta_i)
✓accuracy99.9%
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
✓accuracy73.1%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓accuracy99.9%
(exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))))
✓accuracy99.8%
(+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))
✓accuracy99.7%
(pow.f32 (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 v)))
✓accuracy98.6%
(*.f32 v #s(literal 6931/10000 binary32))
Results
171.0ms256×0valid
Compiler

Compiled 315 to 40 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-div: 21.0ms (26.5% of total)
ival-mult: 18.0ms (22.7% of total)
ival-pow: 14.0ms (17.6% of total)
ival-exp: 10.0ms (12.6% of total)
ival-add: 6.0ms (7.6% of total)
...c/correct-round.rkt:119:19: 5.0ms (6.3% of total)
ival-sub: 3.0ms (3.8% of total)
ival-neg: 3.0ms (3.8% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series180.0ms (1.1%)

Counts
23 → 708
Calls
Call 1
Inputs
#<alt (/ 1 (neg v))>
#<alt (/ (pow (exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000)))) (/ 1 (neg v))) (* v 2))>
#<alt (pow (exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000)))) (/ 1 (neg v)))>
#<alt (exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000))))>
#<alt (+ (/ (* cosTheta_O cosTheta_i) v) 1)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (exp (/ (* sinTheta_O (neg sinTheta_i)) v))>
#<alt (/ (* sinTheta_O (neg sinTheta_i)) v)>
#<alt (neg sinTheta_i)>
#<alt (* sinTheta_O (neg sinTheta_i))>
#<alt (/ 1 (exp (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v))))>
#<alt (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v))>
#<alt (/ (* 1/2 (/ 1 (exp (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v))))) v)>
#<alt (* 1/2 (/ 1 (exp (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v)))))>
#<alt (pow (exp (/ 1 v)) (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))))>
#<alt (/ (* 1/2 (pow (exp (/ 1 v)) (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))))) v)>
#<alt (* 1/2 (pow (exp (/ 1 v)) (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O)))))>
#<alt (exp (/ 1 v))>
#<alt (* v 6931/10000)>
#<alt (+ (* cosTheta_O cosTheta_i) (* v 6931/10000))>
#<alt (exp (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v)))>
#<alt (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O)))>
Outputs
#<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 (* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v))>
#<alt (+ (* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))))) (pow v 2))))>
#<alt (+ (* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) (+ (* -1/2 (/ (+ (* -1 (pow cosTheta_i 2)) (pow cosTheta_i 2)) v)) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2)))))) v)) (* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (- 1 (* 6931/10000 v)) v)))) (pow v 2))))))>
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#<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)))))))>
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#<alt -6931/10000>
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#<alt -6931/10000>
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#<alt (+ (* -1 (/ (- (* 6931/10000 v) 1) v)) (/ (* sinTheta_O sinTheta_i) v))>
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#<alt (* -1 (/ (- (* 6931/10000 v) 1) v))>
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#<alt (+ (* -1 (/ (- (* 6931/10000 v) 1) v)) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
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#<alt (/ 1/2 (* v (exp -6931/10000)))>
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#<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 (/ 1/2 (* v (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))))>
#<alt (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))))) (* 1/2 (/ 1 (* v (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))))))>
#<alt (+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))))) (* 1/4 (/ (pow sinTheta_O 2) (* (pow v 3) (exp (* -1 (/ (- (* 6931/10000 v) 1) v))))))))) (* 1/2 (/ sinTheta_O (* (pow v 2) (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))))))) (* 1/2 (/ 1 (* v (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))))))>
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#<alt (+ (* 1/2 (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* v (+ (* 6931/20000 (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) v)) (* v (+ (* 332956652491/12000000000000 (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (pow v 2))) (* 48038761/400000000 (/ (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))) (pow v 2))))))))>
#<alt (* 1/2 (exp 6931/10000))>
#<alt (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000)))>
#<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))))>
#<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)))))>
#<alt (* 1/2 (exp 6931/10000))>
#<alt (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000)))>
#<alt (+ (* -1 (/ (+ (* -1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v)) (* 1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (exp 6931/10000)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) v)) (* 1/4 (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)))) v)) (* 1/2 (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (exp 6931/10000)))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) 1) v)))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v)))) v)) (* 1/2 (exp (/ (- (* 6931/10000 v) 1) v))))>
#<alt (+ (* 1/2 (exp (/ (- (* 6931/10000 v) 1) v))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (/ (- (* 6931/10000 v) 1) v))) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 2))))))>
#<alt (+ (* 1/2 (exp (/ (- (* 6931/10000 v) 1) v))) (* sinTheta_i (+ (* -1/2 (/ (* sinTheta_O (exp (/ (- (* 6931/10000 v) 1) v))) v)) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (exp (/ (- (* 6931/10000 v) 1) v))) (pow v 2))))))))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) 1) v)))>
#<alt (+ (* -1/2 (/ (* sinTheta_O (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v)))) v)) (* 1/2 (exp (/ (- (* 6931/10000 v) 1) v))))>
#<alt (+ (* 1/2 (exp (/ (- (* 6931/10000 v) 1) v))) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v))) v)) (* 1/4 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 2))))))>
#<alt (+ (* 1/2 (exp (/ (- (* 6931/10000 v) 1) v))) (* sinTheta_O (+ (* -1/2 (/ (* sinTheta_i (exp (/ (- (* 6931/10000 v) 1) v))) v)) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_i 2) (exp (/ (- (* 6931/10000 v) 1) v))) (pow v 2))))))))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* 1/2 (exp (/ (- (* 6931/10000 v) (+ 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)))>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (* 6931/10000 v)>
#<alt (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))>
#<alt (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))>
#<alt (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))))>
#<alt (* cosTheta_O (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))))>
#<alt (* cosTheta_O (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -6931/10000 (/ v cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -6931/10000 (/ v cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -6931/10000 (/ v cosTheta_O)))))>
#<alt (* 6931/10000 v)>
#<alt (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))>
#<alt (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))>
#<alt (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_i (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))))>
#<alt (* cosTheta_i (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))))>
#<alt (* cosTheta_i (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -6931/10000 (/ v cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -6931/10000 (/ v cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -6931/10000 (/ v cosTheta_i)))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))>
#<alt (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))>
#<alt (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))>
#<alt (* 6931/10000 v)>
#<alt (* v (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (* v (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (* v (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (* 6931/10000 v)>
#<alt (* -1 (* v (- (* -1 (/ (* cosTheta_O cosTheta_i) v)) 6931/10000)))>
#<alt (* -1 (* v (- (* -1 (/ (* cosTheta_O cosTheta_i) v)) 6931/10000)))>
#<alt (* -1 (* v (- (* -1 (/ (* cosTheta_O cosTheta_i) v)) 6931/10000)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp -6931/10000)>
#<alt (+ (exp -6931/10000) (/ (* (exp -6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (+ (exp -6931/10000) (+ (* 1/2 (/ (* (exp -6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp -6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (+ (exp -6931/10000) (+ (* 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) (+ 1 (* sinTheta_O sinTheta_i))) v))))>
#<alt (exp -6931/10000)>
#<alt (+ (exp -6931/10000) (/ (* (exp -6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))>
#<alt (+ (exp -6931/10000) (* -1 (/ (+ (* -1 (* (exp -6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp -6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)))>
#<alt (+ (exp -6931/10000) (* -1 (/ (+ (* -1 (* (exp -6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* -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))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))>
#<alt (+ (exp (* -1 (/ (- (* 6931/10000 v) 1) v))) (/ (* sinTheta_O (* sinTheta_i (exp (* -1 (/ (- (* 6931/10000 v) 1) v))))) v))>
#<alt (+ (exp (* -1 (/ (- (* 6931/10000 v) 1) v))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (* -1 (/ (- (* 6931/10000 v) 1) v))))) (pow v 2))) (/ (* sinTheta_O (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))) v))))>
#<alt (+ (exp (* -1 (/ (- (* 6931/10000 v) 1) v))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (* -1 (/ (- (* 6931/10000 v) 1) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))) (pow v 2))))) (/ (* sinTheta_O (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))) v))))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))>
#<alt (+ (exp (* -1 (/ (- (* 6931/10000 v) 1) v))) (/ (* sinTheta_O (* sinTheta_i (exp (* -1 (/ (- (* 6931/10000 v) 1) v))))) v))>
#<alt (+ (exp (* -1 (/ (- (* 6931/10000 v) 1) v))) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (* -1 (/ (- (* 6931/10000 v) 1) v))))) (pow v 2))) (/ (* sinTheta_i (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))) v))))>
#<alt (+ (exp (* -1 (/ (- (* 6931/10000 v) 1) v))) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (* -1 (/ (- (* 6931/10000 v) 1) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))) (pow v 2))))) (/ (* sinTheta_i (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))) v))))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))>
#<alt (* -1 (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (* 6931/10000 v)>
#<alt (* v (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (* v (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (* v (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))>
#<alt (* 6931/10000 v)>
#<alt (* -1 (* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (* -1 (* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (* -1 (* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))>
#<alt (- (* 6931/10000 v) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ v sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ v sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))>
#<alt (* sinTheta_i (- (* 6931/10000 (/ v sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (- (* 6931/10000 v) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ v sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ v sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))>
#<alt (* sinTheta_O (- (* 6931/10000 (/ v sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_O)) (* -1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_O)) (* -1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_O)) (* -1 sinTheta_i))))>
Calls

177 calls:

TimeVariablePointExpression
29.0ms
v
@0
(/ (pow (exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000)))) (/ 1 (neg v))) (* v 2))
23.0ms
cosTheta_i
@-inf
(/ (pow (exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000)))) (/ 1 (neg v))) (* v 2))
22.0ms
cosTheta_O
@-inf
(/ (pow (exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000)))) (/ 1 (neg v))) (* v 2))
20.0ms
cosTheta_i
@inf
(/ (pow (exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000)))) (/ 1 (neg v))) (* v 2))
19.0ms
cosTheta_O
@inf
(/ (pow (exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000)))) (/ 1 (neg v))) (* v 2))

rewrite301.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
3270×*-lowering-*.f32
3270×*-lowering-*.f64
2512×/-lowering-/.f32
2512×/-lowering-/.f64
1954×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039206
1224193
21766178
09438178
Stop Event
1×iter limit
1×node limit
Counts
23 → 625
Calls
Call 1
Inputs
(/ 1 (neg v))
(/ (pow (exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000)))) (/ 1 (neg v))) (* v 2))
(pow (exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000)))) (/ 1 (neg v)))
(exp (- 1 (+ (* cosTheta_O cosTheta_i) (* v 6931/10000))))
(+ (/ (* cosTheta_O cosTheta_i) v) 1)
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(exp (/ (* sinTheta_O (neg sinTheta_i)) v))
(/ (* sinTheta_O (neg sinTheta_i)) v)
(neg sinTheta_i)
(* sinTheta_O (neg sinTheta_i))
(/ 1 (exp (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v))))
(/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v))
(/ (* 1/2 (/ 1 (exp (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v))))) v)
(* 1/2 (/ 1 (exp (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v)))))
(pow (exp (/ 1 v)) (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))))
(/ (* 1/2 (pow (exp (/ 1 v)) (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))))) v)
(* 1/2 (pow (exp (/ 1 v)) (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O)))))
(exp (/ 1 v))
(* v 6931/10000)
(+ (* cosTheta_O cosTheta_i) (* v 6931/10000))
(exp (/ (+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O))) (neg v)))
(+ (* v 6931/10000) (- -1 (* sinTheta_i sinTheta_O)))
Outputs
(neg.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (*.f32 (log.f32 v) #s(literal -1 binary32)))
(pow.f32 v #s(literal -1 binary32))
(pow.f32 (*.f32 v v) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 v #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 v)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
(/.f32 #s(literal -1 binary32) v)
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)))
(log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(neg.f32 (/.f32 (exp.f32 (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v #s(literal 6931/10000 binary32))) v)) (*.f32 v #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v #s(literal 6931/10000 binary32))) v)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v #s(literal 6931/10000 binary32))) v))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v #s(literal 6931/10000 binary32))) v))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v #s(literal 6931/10000 binary32))) v)) v)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v #s(literal 6931/10000 binary32))) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v #s(literal 6931/10000 binary32))) v))) #s(literal 1 binary32)))
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(pow.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (-.f32 (*.f32 (*.f32 v v) #s(literal 48038761/100000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))))
(pow.f32 (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(pow.f32 (exp.f32 (neg.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (exp.f32 (*.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))))
(/.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)) #s(literal 1 binary32))
(/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (-.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v #s(literal 6931/10000 binary32)))))
(/.f32 (neg.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))) #s(literal -1 binary32))
(/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 (*.f32 v v) #s(literal 48038761/100000000 binary32)) (+.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) 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 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))))
(/.f32 (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32))) (pow.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))))
(*.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)) #s(literal 1 binary32))
(*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v #s(literal 6931/10000 binary32)))))
(*.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v #s(literal 6931/10000 binary32)))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))))
(*.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v #s(literal 6931/10000 binary32)))))
(*.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)))))
(*.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(*.f32 (exp.f32 (*.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) #s(literal -1/2 binary32))) (exp.f32 (*.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v) #s(literal -1/2 binary32))))
(*.f32 (exp.f32 (*.f32 (*.f32 v #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (exp.f32 (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (*.f32 v #s(literal 6931/10000 binary32)) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))
(+.f32 #s(literal -1 binary32) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v #s(literal 6931/10000 binary32))))
(+.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v #s(literal 6931/10000 binary32)))
(+.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i)))
(pow.f32 (/.f32 (+.f32 (*.f32 (*.f32 v v) #s(literal 48038761/100000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v #s(literal 6931/10000 binary32))))) (+.f32 (*.f32 (*.f32 v (*.f32 v v)) #s(literal 332956652491/1000000000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (*.f32 (*.f32 v v) #s(literal 48038761/100000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) #s(literal -1 binary32))
(fma.f32 v #s(literal 6931/10000 binary32) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 #s(literal 6931/10000 binary32) v (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))
(fma.f32 (-.f32 #s(literal -1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (*.f32 v #s(literal 6931/10000 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v #s(literal 6931/10000 binary32)))
(-.f32 #s(literal -1 binary32) (-.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))
(-.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(-.f32 (/.f32 (*.f32 (*.f32 v v) #s(literal 48038761/100000000 binary32)) (+.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_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 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 v v) #s(literal 48038761/100000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v #s(literal 6931/10000 binary32))))) (+.f32 (*.f32 (*.f32 v (*.f32 v v)) #s(literal 332956652491/1000000000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (*.f32 (*.f32 v v) #s(literal 48038761/100000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))))
(/.f32 (+.f32 (*.f32 (*.f32 v (*.f32 v v)) #s(literal 332956652491/1000000000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (+.f32 (*.f32 (*.f32 v v) #s(literal 48038761/100000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v #s(literal 6931/10000 binary32))))))
(/.f32 (+.f32 (*.f32 (*.f32 v (*.f32 v v)) #s(literal 332956652491/1000000000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (+.f32 (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (-.f32 (*.f32 (*.f32 v v) #s(literal 48038761/100000000 binary32)) (*.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))))
(/.f32 (-.f32 (*.f32 (*.f32 v v) #s(literal 48038761/100000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (+.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))
(/.f32 (neg.f32 (+.f32 (*.f32 (*.f32 v (*.f32 v v)) #s(literal 332956652491/1000000000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))))) (neg.f32 (+.f32 (*.f32 (*.f32 v v) #s(literal 48038761/100000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v #s(literal 6931/10000 binary32)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 v v) #s(literal 48038761/100000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (neg.f32 (+.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))))
(/.f32 (-.f32 (*.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))))) (+.f32 (*.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32))) (+.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) (*.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))))
(/.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) #s(literal 48038761/100000000 binary32))) (-.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v #s(literal 6931/10000 binary32))))
(/.f32 (-.f32 (*.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32))) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i)))) (+.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 v v) #s(literal 48038761/100000000 binary32)) (+.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (+.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (*.f32 (+.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (+.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))))
(*.f32 (+.f32 (*.f32 (*.f32 v (*.f32 v v)) #s(literal 332956652491/1000000000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 v v) #s(literal 48038761/100000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v #s(literal 6931/10000 binary32)))))))
(*.f32 (-.f32 (*.f32 (*.f32 v v) #s(literal 48038761/100000000 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))))

simplify460.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
6608×*-lowering-*.f32
6608×*-lowering-*.f64
4082×+-lowering-+.f64
4082×+-lowering-+.f32
1604×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0112710580
140559901
088069901
Stop Event
1×iter limit
1×node limit
Counts
708 → 708
Calls
Call 1
Inputs
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(/ -1 v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v))
(+ (* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))))) (pow v 2))))
(+ (* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) (+ (* -1/2 (/ (+ (* -1 (pow cosTheta_i 2)) (pow cosTheta_i 2)) v)) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2)))))) v)) (* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (- 1 (* 6931/10000 v)) v)))) (pow v 2))))))
(+ (* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (- 1 (* 6931/10000 v)) v)))) (pow v 2))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) (+ (* -1/2 (/ (* cosTheta_i (+ (* -1 (pow cosTheta_i 2)) (pow cosTheta_i 2))) (pow v 2))) (+ (* -1/6 (/ (+ (* -2 (pow cosTheta_i 3)) (+ (* -1 (pow cosTheta_i 3)) (* 3 (pow cosTheta_i 3)))) v)) (* 1/6 (/ (pow cosTheta_i 3) (pow v 3))))))) v)) (* 1/2 (/ (* (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) (+ (* -1/2 (/ (+ (* -1 (pow cosTheta_i 2)) (pow cosTheta_i 2)) v)) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2))))) v)))))))
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v))
(+ (* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))))) (pow v 2))))
(+ (* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (* -1 (/ (- 1 (* 6931/10000 v)) v)))) (pow v 2))) (* 1/2 (/ (* cosTheta_i (* (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) (+ (* -1/2 (/ (+ (* -1 (pow cosTheta_O 2)) (pow cosTheta_O 2)) v)) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2)))))) v)))))
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-6931/10000
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-6931/10000
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(exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp (/ (- (* 6931/10000 v) 1) v))
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(/ (+ (* 6931/20000 (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))) (* 1/2 (exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))) v)
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(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (exp 6931/10000))) v)
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(/ (+ (* -1/2 (/ (* (exp 6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 3)) (pow v 3))) (+ (* 1/4 (/ (* (exp 6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (* 1/2 (exp 6931/10000))))) v)
(* 1/2 (/ (exp 6931/10000) v))
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(* 1/2 (/ (exp (/ (- (* 6931/10000 v) 1) v)) v))
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(* 1/2 (exp 6931/10000))
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(* 1/2 (exp 6931/10000))
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(* 1/2 (exp (/ (- (* 6931/10000 v) (+ 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))
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(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(* 6931/10000 v)
(+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))
(+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))
(+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_O (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))))
(* cosTheta_O (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -6931/10000 (/ v cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -6931/10000 (/ v cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -6931/10000 (/ v cosTheta_O)))))
(* 6931/10000 v)
(+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))
(+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))
(+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_i (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))))
(* cosTheta_i (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))))
(* cosTheta_O cosTheta_i)
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -6931/10000 (/ v cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -6931/10000 (/ v cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -6931/10000 (/ v cosTheta_i)))))
(* cosTheta_O cosTheta_i)
(+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))
(+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))
(+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))
(* 6931/10000 v)
(* v (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(* v (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(* v (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(* 6931/10000 v)
(* -1 (* v (- (* -1 (/ (* cosTheta_O cosTheta_i) v)) 6931/10000)))
(* -1 (* v (- (* -1 (/ (* cosTheta_O cosTheta_i) v)) 6931/10000)))
(* -1 (* v (- (* -1 (/ (* cosTheta_O cosTheta_i) v)) 6931/10000)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp -6931/10000)
(+ (exp -6931/10000) (/ (* (exp -6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))
(+ (exp -6931/10000) (+ (* 1/2 (/ (* (exp -6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) (pow v 2))) (/ (* (exp -6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(+ (exp -6931/10000) (+ (* 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) (+ 1 (* sinTheta_O sinTheta_i))) v))))
(exp -6931/10000)
(+ (exp -6931/10000) (/ (* (exp -6931/10000) (+ 1 (* sinTheta_O sinTheta_i))) v))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (* (exp -6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (* (exp -6931/10000) (pow (+ 1 (* sinTheta_O sinTheta_i)) 2)) v))) v)))
(+ (exp -6931/10000) (* -1 (/ (+ (* -1 (* (exp -6931/10000) (+ 1 (* sinTheta_O sinTheta_i)))) (* -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))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) 1) v)))
(+ (exp (* -1 (/ (- (* 6931/10000 v) 1) v))) (/ (* sinTheta_O (* sinTheta_i (exp (* -1 (/ (- (* 6931/10000 v) 1) v))))) v))
(+ (exp (* -1 (/ (- (* 6931/10000 v) 1) v))) (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (* -1 (/ (- (* 6931/10000 v) 1) v))))) (pow v 2))) (/ (* sinTheta_O (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))) v))))
(+ (exp (* -1 (/ (- (* 6931/10000 v) 1) v))) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (* -1 (/ (- (* 6931/10000 v) 1) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))) (pow v 2))))) (/ (* sinTheta_O (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))) v))))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) 1) v)))
(+ (exp (* -1 (/ (- (* 6931/10000 v) 1) v))) (/ (* sinTheta_O (* sinTheta_i (exp (* -1 (/ (- (* 6931/10000 v) 1) v))))) v))
(+ (exp (* -1 (/ (- (* 6931/10000 v) 1) v))) (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (* -1 (/ (- (* 6931/10000 v) 1) v))))) (pow v 2))) (/ (* sinTheta_i (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))) v))))
(+ (exp (* -1 (/ (- (* 6931/10000 v) 1) v))) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (* -1 (/ (- (* 6931/10000 v) 1) v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))) (pow v 2))))) (/ (* sinTheta_i (exp (* -1 (/ (- (* 6931/10000 v) 1) v)))) v))))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(exp (* -1 (/ (- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i))) v)))
(* -1 (+ 1 (* sinTheta_O sinTheta_i)))
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(- (* 6931/10000 v) (+ 1 (* sinTheta_O sinTheta_i)))
(* 6931/10000 v)
(* v (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(* v (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(* v (+ 6931/10000 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))))
(* 6931/10000 v)
(* -1 (* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))
(* -1 (* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))
(* -1 (* v (- (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)) 6931/10000)))
(- (* 6931/10000 v) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_i (- (* 6931/10000 (/ v sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))
(* sinTheta_i (- (* 6931/10000 (/ v sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))
(* sinTheta_i (- (* 6931/10000 (/ v sinTheta_i)) (+ sinTheta_O (/ 1 sinTheta_i))))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_i)) (* -1 sinTheta_O))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_i)) (* -1 sinTheta_O))))
(- (* 6931/10000 v) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)
(- (+ (* -1 (* sinTheta_O sinTheta_i)) (* 6931/10000 v)) 1)
(* -1 (* sinTheta_O sinTheta_i))
(* sinTheta_O (- (* 6931/10000 (/ v sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))
(* sinTheta_O (- (* 6931/10000 (/ v sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))
(* sinTheta_O (- (* 6931/10000 (/ v sinTheta_O)) (+ sinTheta_i (/ 1 sinTheta_O))))
(* -1 (* sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_O)) (* -1 sinTheta_i))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_O)) (* -1 sinTheta_i))))
Outputs
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v))
(/.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v))) v)
(+ (* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))))) (pow v 2))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v)) v) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v))) (*.f32 v v))))
(+ (* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) (+ (* -1/2 (/ (+ (* -1 (pow cosTheta_i 2)) (pow cosTheta_i 2)) v)) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2)))))) v)) (* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (- 1 (* 6931/10000 v)) v)))) (pow v 2))))))
(+.f32 (*.f32 cosTheta_O (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v)) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v)) (/.f32 #s(literal 0 binary32) v)))) v) (*.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v)) (*.f32 v v)))))) (/.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v))) v))
(+ (* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_i (exp (* -1 (/ (- 1 (* 6931/10000 v)) v)))) (pow v 2))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) (+ (* -1/2 (/ (* cosTheta_i (+ (* -1 (pow cosTheta_i 2)) (pow cosTheta_i 2))) (pow v 2))) (+ (* -1/6 (/ (+ (* -2 (pow cosTheta_i 3)) (+ (* -1 (pow cosTheta_i 3)) (* 3 (pow cosTheta_i 3)))) v)) (* 1/6 (/ (pow cosTheta_i 3) (pow v 3))))))) v)) (* 1/2 (/ (* (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) (+ (* -1/2 (/ (+ (* -1 (pow cosTheta_i 2)) (pow cosTheta_i 2)) v)) (* 1/2 (/ (pow cosTheta_i 2) (pow v 2))))) v)))))))
(+.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v)) (*.f32 v v)))) (*.f32 cosTheta_O (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v)) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 0 binary32))) (*.f32 v v)) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))) (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) #s(literal 2 binary32)))) v) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))) (*.f32 v (*.f32 v v))))))) v) (/.f32 (*.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v)) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v)) (/.f32 #s(literal 0 binary32) v))) v)))))) (/.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v))) v))
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v))
(/.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v))) v)
(+ (* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))))) (pow v 2))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v)) v) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v))) (*.f32 v v))))
(+ (* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (* -1 (/ (- 1 (* 6931/10000 v)) v)))) (pow v 2))) (* 1/2 (/ (* cosTheta_i (* (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) (+ (* -1/2 (/ (+ (* -1 (pow cosTheta_O 2)) (pow cosTheta_O 2)) v)) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2)))))) v)))))
(+.f32 (*.f32 cosTheta_i (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v)) (*.f32 v v))) (/.f32 (*.f32 (*.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v)) cosTheta_i) (+.f32 (/.f32 #s(literal 0 binary32) v) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))) v)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v))) v))
(+ (* 1/2 (/ (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) v)) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_O (exp (* -1 (/ (- 1 (* 6931/10000 v)) v)))) (pow v 2))) (* cosTheta_i (+ (* 1/2 (/ (* cosTheta_i (* (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) (+ (* -1/2 (/ (* cosTheta_O (+ (* -1 (pow cosTheta_O 2)) (pow cosTheta_O 2))) (pow v 2))) (+ (* -1/6 (/ (+ (* -2 (pow cosTheta_O 3)) (+ (* -1 (pow cosTheta_O 3)) (* 3 (pow cosTheta_O 3)))) v)) (* 1/6 (/ (pow cosTheta_O 3) (pow v 3))))))) v)) (* 1/2 (/ (* (exp (* -1 (/ (- 1 (* 6931/10000 v)) v))) (+ (* -1/2 (/ (+ (* -1 (pow cosTheta_O 2)) (pow cosTheta_O 2)) v)) (* 1/2 (/ (pow cosTheta_O 2) (pow v 2))))) v)))))))
(+.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v)) (*.f32 v v)))) (*.f32 cosTheta_i (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 (*.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v)) cosTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O #s(literal 0 binary32))) (*.f32 v v)) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 #s(literal -2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) #s(literal 2 binary32)))) v) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O))) (*.f32 v (*.f32 v v)))))) v) (*.f32 (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v)) (/.f32 (+.f32 (/.f32 #s(literal 0 binary32) v) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v))) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v))) v))
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) (*.f32 cosTheta_O cosTheta_i)) v)))) v)
(* 1/2 (/ (exp (* -1 (/ (- 1 (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i))) v))) v))
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
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(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
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(+ 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))))))))
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(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
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1
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1
#s(literal 1 binary32)
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1
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(* -1 sinTheta_i)
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(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (neg.f32 sinTheta_O) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) sinTheta_O) sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (neg.f32 sinTheta_O) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) sinTheta_O) sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* 6931/10000 v) 1) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 (neg.f32 sinTheta_O) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) sinTheta_O) sinTheta_i))

eval136.0ms (0.8%)

Compiler

Compiled 30992 to 3304 computations (89.3% saved)

prune168.0ms (1%)

Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New1435141449
Fresh4913
Picked505
Done022
Total1444251469
Accuracy
99.9%
Counts
1469 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f32 (pow.f32 (pow.f32 (exp.f32 (-.f32 (*.f32 v #s(literal -6931/10000 binary32)) (+.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)) (*.f32 v #s(literal 2 binary32)))
99.8%
(/.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) (*.f32 v #s(literal 2 binary32)))
99.7%
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v)))
6.3%
(/.f32 (+.f32 v (*.f32 cosTheta_O cosTheta_i)) v)
41.4%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
99.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)))) v)
99.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))) v)
99.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)))))) v)
99.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))) v)
99.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v))) v)
99.3%
(/.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 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (+.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
6.2%
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)))) v) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) v))
6.3%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
3.7%
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))) (*.f32 v v)))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))))
6.3%
(+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1 binary32))
2.6%
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))))))))
99.7%
(*.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))))
6.3%
(*.f32 (+.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_O)) (neg.f32 cosTheta_O))
6.3%
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
99.7%
(*.f32 (exp.f32 (log.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))))
97.8%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
10.9%
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓13.6%
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
12.9%
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
✓6.4%
#s(literal 1 binary32)
Compiler

Compiled 1667 to 656 computations (60.6% saved)

regimes163.0ms (1%)

Counts
58 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (+.f32 v (*.f32 cosTheta_O cosTheta_i)) v)
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(*.f32 (+.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_O)) (neg.f32 cosTheta_O))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))))))))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) v))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) v))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)))) v) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) v))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))) (*.f32 v v)))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))))
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) 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))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v))) v)
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v)))
(*.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) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))))) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)) (*.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)))))) v)
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (neg.f32 v)))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)))) v)
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))
(/.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))))) v)
(exp.f32 (+.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)))
(/.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v #s(literal 6931/10000 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)))) v)
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) v)) (*.f32 v #s(literal 2 binary32)))
(/.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))) (*.f32 v #s(literal 2 binary32)))
(exp.f32 (+.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) v))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal -1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (pow.f32 (exp.f32 (neg.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) (*.f32 v #s(literal 2 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)))))
(exp.f32 (*.f32 (+.f32 (/.f32 sinTheta_O v) (/.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (neg.f32 sinTheta_i))) (neg.f32 sinTheta_i)))
(/.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 (exp.f32 (log.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 (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))))
(/.f32 (pow.f32 (pow.f32 (exp.f32 (-.f32 (*.f32 v #s(literal -6931/10000 binary32)) (+.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)) (*.f32 v #s(literal 2 binary32)))
(/.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 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))) (exp.f32 (/.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (+.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32)))))))
Outputs
(/.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) (*.f32 v #s(literal 2 binary32)))
Calls

9 calls:

35.0ms
(+.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
cosTheta_i
16.0ms
cosTheta_O
16.0ms
sinTheta_i
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)

regimes79.0ms (0.5%)

Counts
37 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (+.f32 v (*.f32 cosTheta_O cosTheta_i)) v)
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(*.f32 (+.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_O)) (neg.f32 cosTheta_O))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))))))))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) v))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) v))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)))) v) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) v))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))) (*.f32 v v)))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))))
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) 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))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v))) v)
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v)))
(*.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) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))))) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)) (*.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)))))) v)
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (neg.f32 v)))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)))) v)
(*.f32 (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v)))
Outputs
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)))) v)
Calls

7 calls:

14.0ms
sinTheta_i
10.0ms
cosTheta_i
10.0ms
sinTheta_O
10.0ms
(*.f32 cosTheta_i cosTheta_O)
10.0ms
cosTheta_O
Results
AccuracySegmentsBranch
99.7%1cosTheta_i
99.7%1cosTheta_O
99.7%1sinTheta_i
99.7%1sinTheta_O
99.7%1v
99.7%1(*.f32 cosTheta_i cosTheta_O)
99.7%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes72.0ms (0.4%)

Counts
35 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (+.f32 v (*.f32 cosTheta_O cosTheta_i)) v)
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(*.f32 (+.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_O)) (neg.f32 cosTheta_O))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))))))))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) v))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) v))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)))) v) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) v))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))) (*.f32 v v)))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))))
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) 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))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v))) v)
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v)))
(*.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) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (-.f32 (+.f32 (*.f32 #s(literal 6931/10000 binary32) v) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))))) v)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (*.f32 #s(literal 6931/10000 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i)))) v)) (*.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 #s(literal 1 binary32) v))))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (E.f32) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) #s(literal 2 binary32)))))) v)
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))) (neg.f32 v)))) (*.f32 v #s(literal 2 binary32)))
Outputs
(*.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))))
Calls

7 calls:

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

regimes43.0ms (0.3%)

Counts
24 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (+.f32 v (*.f32 cosTheta_O cosTheta_i)) v)
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(*.f32 (+.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_O)) (neg.f32 cosTheta_O))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))))))))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) v))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) v))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)))) v) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) v))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))) (*.f32 v v)))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))))
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) 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))
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v))) v)
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v)))
Outputs
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v))) v)
Calls

5 calls:

10.0ms
sinTheta_i
9.0ms
cosTheta_i
8.0ms
v
7.0ms
sinTheta_O
7.0ms
cosTheta_O
Results
AccuracySegmentsBranch
99.7%1cosTheta_i
99.7%1cosTheta_O
99.7%1sinTheta_i
99.7%1sinTheta_O
99.7%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes38.0ms (0.2%)

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

5 calls:

8.0ms
sinTheta_i
6.0ms
cosTheta_O
6.0ms
v
6.0ms
cosTheta_i
6.0ms
sinTheta_O
Results
AccuracySegmentsBranch
97.8%1cosTheta_i
97.8%1cosTheta_O
97.8%1sinTheta_i
97.8%1sinTheta_O
97.8%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes36.0ms (0.2%)

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

5 calls:

10.0ms
sinTheta_i
6.0ms
sinTheta_O
6.0ms
v
6.0ms
cosTheta_i
6.0ms
cosTheta_O
Results
AccuracySegmentsBranch
44.6%2cosTheta_i
45.2%2cosTheta_O
41.4%1sinTheta_i
41.4%1sinTheta_O
41.4%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes7.0ms (0%)

Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (+.f32 v (*.f32 cosTheta_O cosTheta_i)) v)
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(*.f32 (+.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_O)) (neg.f32 cosTheta_O))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))))))))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) v))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) v))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)))) v) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) v))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))) (*.f32 v v)))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))))
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
Outputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
Calls

1 calls:

4.0ms
cosTheta_O
Results
AccuracySegmentsBranch
45.2%2cosTheta_O
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes39.0ms (0.2%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1 binary32))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (+.f32 v (*.f32 cosTheta_O cosTheta_i)) v)
(*.f32 (+.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_i)) (neg.f32 cosTheta_i))
(*.f32 (+.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) cosTheta_O)) (neg.f32 cosTheta_O))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (+.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)))) (*.f32 v (*.f32 v v))))))))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)) v))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) v))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i)))) v) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) v))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))) (*.f32 v v)))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (*.f32 cosTheta_i cosTheta_i)) (*.f32 v v))))
Outputs
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
Calls

3 calls:

30.0ms
v
4.0ms
cosTheta_O
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
41.4%1v
41.4%1cosTheta_i
41.4%1cosTheta_O
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
v
1.0ms
cosTheta_O
1.0ms
sinTheta_O
1.0ms
cosTheta_i
1.0ms
sinTheta_i
Results
AccuracySegmentsBranch
6.4%1sinTheta_i
6.4%1cosTheta_O
6.4%1cosTheta_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
1.2965858421642995e-11
3.359025904647872e-11
Compiler

Compiled 38 to 28 computations (26.3% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.2965858421642995e-11
3.359025904647872e-11
Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify23.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
24×*-commutative_binary32
18×+-commutative_binary32
14×sub-neg_binary32
10×neg-sub0_binary32
10×neg-mul-1_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04399
16499
28098
39398
49798
59898
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)))) v)
(*.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) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v))) v)
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(if (<=.f32 cosTheta_O #s(literal 11529215/576460752303423488 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(if (<=.f32 cosTheta_O #s(literal 11529215/576460752303423488 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
#s(literal 1 binary32)
Outputs
(/.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 1 binary32) (*.f32 v #s(literal 6931/10000 binary32)))) (/.f32 #s(literal -1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)))) v)
(*.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) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) #s(literal -1 binary32)) v))) v)
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) v))
(exp.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v))
(if (<=.f32 cosTheta_O #s(literal 11529215/576460752303423488 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(if (<=.f32 cosTheta_O #s(literal 11529215/576460752303423488 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O)))
(if (<=.f32 cosTheta_O #s(literal 11529215/576460752303423488 binary32)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
#s(literal 1 binary32)

soundness3.6s (21.7%)

Rules
6640×*-lowering-*.f32
6640×*-lowering-*.f64
6608×*-lowering-*.f32
6608×*-lowering-*.f64
6414×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114813069
1399312183
0843812183
0109715965
1382014838
0844814838
02121
15819
216019
362519
4277919
0801519
041196
1263186
22154178
09464178
0112710580
140559901
088069901
038208
1260194
22087194
09456194
027133
1203117
22505116
08226116
06229848
121328688
080618688
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
1×iter limit
1×node limit
Compiler

Compiled 546 to 384 computations (29.7% saved)

preprocess90.0ms (0.5%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 570 to 386 computations (32.3% saved)

end0.0ms (0%)

Profiling

Loading profile data...