HairBSDF, Mp, lower

Time bar (total: 13.7s)

analyze715.0ms (5.2%)

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: 407.0ms
ival-<=: 123.0ms (30.2% of total)
...c/correct-round.rkt:119:19: 92.0ms (22.6% of total)
ival-mult: 54.0ms (13.3% of total)
ival-div: 35.0ms (8.6% of total)
ival-add: 24.0ms (5.9% of total)
ival-sub: 20.0ms (4.9% of total)
ival-log: 20.0ms (4.9% of total)
ival-and: 19.0ms (4.7% of total)
ival-exp: 15.0ms (3.7% of total)
const: 3.0ms (0.7% of total)
backward-pass: 1.0ms (0.2% of total)

sample3.5s (25.4%)

Results
2.9s8256×0valid
38.0ms154×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
...c/correct-round.rkt:119:19: 753.0ms (32.9% of total)
ival-<=: 459.0ms (20.1% of total)
ival-div: 306.0ms (13.4% of total)
ival-mult: 208.0ms (9.1% of total)
ival-sub: 152.0ms (6.6% of total)
ival-log: 149.0ms (6.5% of total)
ival-add: 105.0ms (4.6% of total)
ival-and: 73.0ms (3.2% of total)
ival-exp: 61.0ms (2.7% of total)
const: 17.0ms (0.7% of total)
backward-pass: 4.0ms (0.2% of total)
Bogosity

preprocess290.0ms (2.1%)

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

Useful iterations: 1 (0.0ms)

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

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain241.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
968(2.653479244355186e-20 0.13429610431194305 1.653326096135539e-36 8.795254455296053e-12 0.01766192726790905)26(-0.1842544674873352 -5.339254594005638e-10 -9.831798940017709e-29 1.3990674800370794e-17 1.2303120017302288e-31)(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
944(1.198566366193052e-31 2.1678473543934216e-23 4.9631456157479765e-34 2.2275899449797906e-18 3.3333039106686613e-10)34(-1.00959987800498e-16 -2.4109852231238776e-27 -1.605654633440431e-19 2.26980943793498e-30 1.100029030538796e-12)(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
16(-3.43756530944532e-14 0.9047505259513855 4.289874474568834e-31 3.656866738310782e-7 0.0029479574877768755)1(-1.5318817343283548e-23 7.664212238806814e-20 -1.890865810715073e-18 2.6307627044618034e-39 0.012832359410822392)(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
156.0ms512×0valid
Compiler

Compiled 308 to 65 computations (78.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-div: 36.0ms (45.1% of total)
ival-mult: 12.0ms (15% of total)
ival-log: 8.0ms (10% of total)
...c/correct-round.rkt:119:19: 8.0ms (10% of total)
ival-add: 5.0ms (6.3% of total)
ival-sub: 5.0ms (6.3% of total)
ival-exp: 4.0ms (5% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

eval2.0ms (0%)

Compiler

Compiled 27 to 19 computations (29.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v #s(literal 2 binary32)))
▶99.8%
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
Compiler

Compiled 57 to 40 computations (29.8% saved)

simplify176.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓cost-diff0
(+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓cost-diff0
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓cost-diff0
(/.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v #s(literal 2 binary32)))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))
✓cost-diff64
(log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))
✓cost-diff64
(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
✓cost-diff3264
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
Rules
2116×*-lowering-*.f32
2116×*-lowering-*.f64
1378×+-lowering-+.f64
1378×+-lowering-+.f32
1372×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031210
183202
2249201
3967201
43926201
08135201
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
(+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)
(- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v))
(- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v))
(/ (* cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ 1 v)
1
6931/10000
(log (/ 1 (* 2 v)))
(/ 1 (* 2 v))
(* 2 v)
2
(/ (exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))) (* v 2))
(exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v))))
(+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))
(- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v))
(* cosTheta_O (/ cosTheta_i v))
cosTheta_O
(/ cosTheta_i v)
cosTheta_i
v
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(+ 6931/10000 (/ -1 v))
6931/10000
(/ -1 v)
-1
(* v 2)
2
Outputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
(+.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000)
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/ (* cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(/ (* sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
6931/10000
#s(literal 6931/10000 binary32)
(log (/ 1 (* 2 v)))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/ 1 (* 2 v))
(/.f32 #s(literal 1/2 binary32) v)
(* 2 v)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)
(/ (exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))) (* v 2))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (-.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v))))
(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(* cosTheta_O (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cosTheta_O
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
v
(/ (* sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(+ 6931/10000 (/ -1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)
(* v 2)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)

localize191.0ms (1.4%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓accuracy99.8%
(-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓accuracy99.3%
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓accuracy73.8%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy99.8%
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
✓accuracy99.8%
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓accuracy76.3%
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓accuracy73.8%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
Results
129.0ms256×0valid
Compiler

Compiled 242 to 32 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 27.0ms (44.2% of total)
ival-div: 13.0ms (21.3% of total)
ival-add: 5.0ms (8.2% of total)
ival-sub: 4.0ms (6.5% of total)
ival-log: 4.0ms (6.5% of total)
...c/correct-round.rkt:119:19: 4.0ms (6.5% of total)
ival-exp: 3.0ms (4.9% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series116.0ms (0.8%)

Counts
12 → 552
Calls
Call 1
Inputs
#<alt (exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))>
#<alt (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))>
#<alt (log (/ 1 (* 2 v)))>
#<alt (/ 1 (* 2 v))>
#<alt (/ (exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))) (* v 2))>
#<alt (exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v))))>
#<alt (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))>
#<alt (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v))>
#<alt (/ (* sinTheta_i sinTheta_O) v)>
#<alt (/ (* cosTheta_i cosTheta_O) v)>
#<alt (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v))>
#<alt (* cosTheta_O (/ cosTheta_i v))>
Outputs
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))>
#<alt (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/2 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i))))) v)))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) v)))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 2))))))>
#<alt (+ (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))) (pow v 2))))))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))>
#<alt (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))>
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#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
Calls

138 calls:

TimeVariablePointExpression
25.0ms
v
@0
(log (/ 1 (* 2 v)))
9.0ms
v
@-inf
(log (/ 1 (* 2 v)))
8.0ms
cosTheta_i
@0
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
8.0ms
v
@-inf
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
6.0ms
v
@inf
(log (/ 1 (* 2 v)))

rewrite344.0ms (2.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
031127
1226113
22368113
08228113
Stop Event
1×iter limit
1×node limit
Counts
12 → 665
Calls
Call 1
Inputs
(exp (+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v)))))
(+ (+ (- (- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v)) (/ 1 v)) 6931/10000) (log (/ 1 (* 2 v))))
(log (/ 1 (* 2 v)))
(/ 1 (* 2 v))
(/ (exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))) (* v 2))
(exp (+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v))))
(+ (- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v)) (+ 6931/10000 (/ -1 v)))
(- (* cosTheta_O (/ cosTheta_i v)) (/ (* sinTheta_i sinTheta_O) v))
(/ (* sinTheta_i sinTheta_O) v)
(/ (* cosTheta_i cosTheta_O) v)
(- (/ (* cosTheta_i cosTheta_O) v) (/ (* sinTheta_i sinTheta_O) v))
(* cosTheta_O (/ cosTheta_i v))
Outputs
(neg.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (*.f32 v #s(literal -2 binary32))))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (*.f32 v #s(literal 2 binary32))))
(exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) #s(literal -1 binary32)))
(exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -1 binary32)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))
(exp.f32 (+.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (*.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) #s(literal -1 binary32))))
(pow.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (+.f32 (*.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (*.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))))
(pow.f32 (exp.f32 (-.f32 (*.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (log.f32 (*.f32 v #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (-.f32 (log.f32 (*.f32 v #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
(/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (neg.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (*.f32 v #s(literal -2 binary32)))
(/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v) #s(literal 2 binary32))
(/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 (neg.f32 (neg.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))) (neg.f32 (*.f32 v #s(literal -2 binary32))))
(/.f32 (neg.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) v)) #s(literal -2 binary32))
(/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) #s(literal 1 binary32)) (*.f32 v #s(literal 2 binary32)))
(/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) #s(literal -1 binary32)) (*.f32 v #s(literal -2 binary32)))
(/.f32 (*.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))) #s(literal 2 binary32)) v)
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(pow.f32 (exp.f32 (+.f32 (/.f32 (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (*.f32 v v) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))))))
(pow.f32 (exp.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))))))
(pow.f32 (exp.f32 (*.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(pow.f32 (exp.f32 (+.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) #s(literal -48038761/100000000 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32))))
(/.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(/.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/.f32 (exp.f32 (/.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32)))))
(/.f32 (exp.f32 (/.f32 (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (exp.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)))
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))))
(*.f32 (exp.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32)))))
(*.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (exp.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal -1 binary32) v))
(+.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (/.f32 (+.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)))) (+.f32 #s(literal 332956652491/1000000000000 binary32) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal -6931/10000 binary32)) (+.f32 (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v)) #s(literal -48038761/100000000 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (*.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))) (+.f32 (/.f32 (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (*.f32 v v) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) v) #s(literal 6931/10000 binary32)) (-.f32 (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal -1 binary32))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))) #s(literal 6931/10000 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)))
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(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O))) (fma.f32 (neg.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O)))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(+.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O))) (fma.f32 (neg.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O)))
(+.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O))) (fma.f32 (neg.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O)))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O))) (fma.f32 (neg.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O)))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(pow.f32 (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 v v) (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))) (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) #s(literal -1 binary32))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O))) (/.f32 (/.f32 #s(literal 1 binary32) v) v) (+.f32 (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O))) (/.f32 (/.f32 #s(literal 1 binary32) v) v) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (+.f32 (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v v)) (/.f32 (*.f32 v (*.f32 sinTheta_i sinTheta_O)) (*.f32 v v)))
(-.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))) (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))))
(-.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (/.f32 (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v v) (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O)))))
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(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))))
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(+.f32 (fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O))) (fma.f32 (neg.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O)))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O))) (fma.f32 (neg.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O)))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O))) (fma.f32 (neg.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O)))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(+.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O))) (fma.f32 (neg.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O)))
(+.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O))) (fma.f32 (neg.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O)))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O))) (fma.f32 (neg.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v))) sinTheta_O (*.f32 (*.f32 sinTheta_i (/.f32 #s(literal 1 binary32) v)) sinTheta_O)))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (/.f32 sinTheta_i v) sinTheta_O))) (fma.f32 (neg.f32 (/.f32 sinTheta_i v)) sinTheta_O (*.f32 (/.f32 sinTheta_i v) sinTheta_O)))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32)))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32))))) (fma.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)))))
(pow.f32 (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 v v) (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))) (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) #s(literal -1 binary32))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O))) (/.f32 (/.f32 #s(literal 1 binary32) v) v) (+.f32 (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O))) (/.f32 (/.f32 #s(literal 1 binary32) v) v) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (+.f32 (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 (neg.f32 (/.f32 sinTheta_O v)) sinTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(fma.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v v)) (/.f32 (*.f32 v (*.f32 sinTheta_i sinTheta_O)) (*.f32 v v)))
(-.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))) (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))))
(-.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))) (/.f32 (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v v) (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))) (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O))) (*.f32 v v))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))))
(/.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v (*.f32 sinTheta_i sinTheta_O))) v) (*.f32 v (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (*.f32 v (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 v (neg.f32 v)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) v))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (neg.f32 v)) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v)))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) v) (*.f32 (neg.f32 v) (*.f32 sinTheta_i sinTheta_O))) (*.f32 (neg.f32 v) v))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 v (*.f32 sinTheta_i sinTheta_O))) (*.f32 (neg.f32 v) #s(literal 1 binary32))) (*.f32 (neg.f32 v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v)) (*.f32 (neg.f32 v) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O)))) (*.f32 (neg.f32 v) (neg.f32 v)))
(/.f32 (neg.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O)))) (neg.f32 (*.f32 v v)))
(/.f32 (neg.f32 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))))) (neg.f32 (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))))
(/.f32 (neg.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v))) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))
(/.f32 (+.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (-.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(/.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O))) v) v)
(/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))) (neg.f32 v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))
(*.f32 (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 v (*.f32 sinTheta_i sinTheta_O))) (/.f32 (/.f32 #s(literal 1 binary32) v) v))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))))
(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) (/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) v)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)))))
(*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v))
(neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) v))
(exp.f32 (*.f32 (log.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 cosTheta_O (/.f32 v cosTheta_i))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) v)
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 cosTheta_O #s(literal 1 binary32)) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (*.f32 #s(literal 1 binary32) cosTheta_O) (/.f32 v cosTheta_i))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))

simplify366.0ms (2.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
05969417
120098392
277668383
083668383
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
Calls
Call 1
Inputs
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
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(* 1/2 (/ (exp 6931/10000) v))
(/ (+ (* 1/2 (exp 6931/10000)) (* 1/2 (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v))) v)
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(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) v))
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(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
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(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
(* 1/2 (/ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) v))
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(exp 6931/10000)
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(exp 6931/10000)
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(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
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(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
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(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_i)))))
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(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) (+ 1 (* sinTheta_O sinTheta_i))) v)
6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
6931/10000
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(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* sinTheta_i (- (+ (* 6931/10000 (/ 1 sinTheta_i)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (+ (/ 1 (* sinTheta_i v)) (/ sinTheta_O v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_i)) (* -1 (/ sinTheta_O v)))))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
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(- (+ 6931/10000 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* sinTheta_O (- (+ (* 6931/10000 (/ 1 sinTheta_O)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (+ (/ 1 (* sinTheta_O v)) (/ sinTheta_i v))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)) sinTheta_O)) (* -1 (/ sinTheta_i v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(* -1 (/ (- (* -1 (* cosTheta_O cosTheta_i)) (* -1 (* sinTheta_O sinTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
Outputs
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_O cosTheta_i)) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_i))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (*.f32 v v)) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (/.f32 cosTheta_O v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))) v))))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 cosTheta_i (+.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (/.f32 cosTheta_O v)) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_O (*.f32 cosTheta_O cosTheta_i)))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))) (*.f32 v v)))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v)))))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))))) v))
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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)
(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 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)))
(+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))) v)))
(+.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (/.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 (*.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 (exp.f32 #s(literal 6931/10000 binary32)) (+.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 (*.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 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) v)) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))))) (/.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 v (*.f32 v v))))))))
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (- (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* -1 (* sinTheta_O sinTheta_i)))) v)))
(-.f32 (exp.f32 #s(literal 6931/10000 binary32)) (*.f32 (+.f32 (*.f32 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 (*.f32 #s(literal -1/6 binary32) (*.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 (*.f32 sinTheta_O sinTheta_i) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (exp.f32 #s(literal 6931/10000 binary32)))))) v) (*.f32 (*.f32 (+.f32 (*.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 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))) v)) v))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
(-.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) v))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v v)) (*.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 sinTheta_O v)))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(+.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_i (-.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 v v)))) (*.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 sinTheta_O v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* -1 (/ (* sinTheta_O (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) v)))
(-.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) v))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 2))))))
(+.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 v v)) (*.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 sinTheta_i v)))))
(+ (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_i 2) (exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) (pow v 2))))))))
(+.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_O (-.f32 (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_O) (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v v)))) (*.f32 (exp.f32 (+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 sinTheta_i v)))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))))
(exp.f32 (+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (-.f32 (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (-.f32 (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (-.f32 (-.f32 (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)))))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) (neg.f32 cosTheta_O)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
(*.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)) (neg.f32 cosTheta_O)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (+ (/ 1 v) (/ (* sinTheta_O sinTheta_i) v))) cosTheta_O)))))
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_i) (/.f32 sinTheta_O v)))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v)) (/ sinTheta_O v)))
(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(*.f32 sinTheta_i (*.f32 (+.f32 (/.f32 sinTheta_O v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_i))) #s(literal -1 binary32)))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(*.f32 sinTheta_i (*.f32 (+.f32 (/.f32 sinTheta_O v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_i))) #s(literal -1 binary32)))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(*.f32 sinTheta_i (*.f32 (+.f32 (/.f32 sinTheta_O v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_i))) #s(literal -1 binary32)))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i 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))
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
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(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
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(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)))
(* cosTheta_i (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))) (/ cosTheta_O v)))
(*.f32 cosTheta_i (-.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 (-.f32 (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v)))))
(*.f32 (-.f32 (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i) (/.f32 cosTheta_O v)) (neg.f32 cosTheta_i))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(- (/ (* cosTheta_O cosTheta_i) v) (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
(*.f32 cosTheta_O (-.f32 (/.f32 cosTheta_i v) (/.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 v cosTheta_O))))
(* cosTheta_O (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))) (/ cosTheta_i v)))
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(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v)))))
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(/ (- (* cosTheta_O cosTheta_i) (* sinTheta_O sinTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
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(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) v)
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(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) v)
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(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) v)
(/ (* cosTheta_O cosTheta_i) v)
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
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(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
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(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
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(*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(*.f32 sinTheta_i (*.f32 (+.f32 (/.f32 sinTheta_O v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_i))) #s(literal -1 binary32)))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(*.f32 sinTheta_i (*.f32 (+.f32 (/.f32 sinTheta_O v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_i))) #s(literal -1 binary32)))
(* -1 (* sinTheta_i (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (* -1 (/ sinTheta_O v)))))
(*.f32 sinTheta_i (*.f32 (+.f32 (/.f32 sinTheta_O v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_i))) #s(literal -1 binary32)))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_O) (/.f32 sinTheta_i v)))
(* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v)) (/ sinTheta_i v)))
(*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i 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 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(*.f32 (+.f32 (/.f32 sinTheta_i v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_O))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(*.f32 (+.f32 (/.f32 sinTheta_i v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_O))) (neg.f32 sinTheta_O))
(* -1 (* sinTheta_O (- (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (* -1 (/ sinTheta_i v)))))
(*.f32 (+.f32 (/.f32 sinTheta_i v) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_O))) (neg.f32 sinTheta_O))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))

eval137.0ms (1%)

Compiler

Compiled 40077 to 3326 computations (91.7% saved)

prune193.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New126961275
Fresh000
Picked202
Done000
Total127161277
Accuracy
99.8%
Counts
1277 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)
▶4.6%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
▶98.5%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
▶12.4%
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
▶99.8%
(exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
▶9.5%
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
Compiler

Compiled 190 to 146 computations (23.2% saved)

simplify168.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓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 sinTheta_O sinTheta_i)
✓cost-diff0
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓cost-diff0
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓cost-diff0
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
✓cost-diff0
(exp.f32 #s(literal 6931/10000 binary32))
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
✓cost-diff0
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
✓cost-diff0
(/.f32 cosTheta_i v)
✓cost-diff0
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓cost-diff0
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓cost-diff0
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓cost-diff0
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓cost-diff64
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓cost-diff3264
(exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
Rules
2236×sum5-define
1748×sum3-define
1436×sum4-define
1320×fnmadd-define
1142×*-lowering-*.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
032171
172166
2179166
3381166
4710162
51368161
63444161
08067161
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(exp (+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v))))
(+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v)))
(+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v)))
(log (/ 1/2 v))
(/ 1/2 v)
1/2
v
(* cosTheta_O (/ cosTheta_i v))
cosTheta_O
(/ cosTheta_i v)
cosTheta_i
(+ 6931/10000 (/ -1 v))
6931/10000
(/ -1 v)
-1
(exp (* cosTheta_O (/ cosTheta_i v)))
(* cosTheta_O (/ cosTheta_i v))
cosTheta_O
(/ cosTheta_i v)
cosTheta_i
v
(/ (* 1/2 (exp 6931/10000)) v)
(* 1/2 (exp 6931/10000))
1/2
(exp 6931/10000)
6931/10000
v
(exp (- 0 (/ (* sinTheta_O sinTheta_i) v)))
(- 0 (/ (* sinTheta_O sinTheta_i) v))
0
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(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
Outputs
(exp (+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v))))
(*.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))))
(+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)))
(+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(log (/ 1/2 v))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
v
(* cosTheta_O (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cosTheta_O
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
(+ 6931/10000 (/ -1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)
(exp (* cosTheta_O (/ cosTheta_i v)))
(exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(* cosTheta_O (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cosTheta_O
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
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))
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
1/2
#s(literal 1/2 binary32)
(exp 6931/10000)
(exp.f32 #s(literal 6931/10000 binary32))
6931/10000
#s(literal 6931/10000 binary32)
v
(exp (- 0 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(- 0 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
0
#s(literal 0 binary32)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
(exp.f32 (/.f32 (+.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) v))
(/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)
(/.f32 (+.f32 #s(literal -1 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i))) v)
(- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))
(+.f32 #s(literal -1 binary32) (-.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))
(+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v

localize175.0ms (1.3%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f32 sinTheta_O sinTheta_i)
✓accuracy100.0%
(*.f32 cosTheta_O cosTheta_i)
✓accuracy100.0%
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v)
✓accuracy99.8%
(exp.f32 (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O sinTheta_i))) v))
✓accuracy100.0%
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓accuracy100.0%
(*.f32 sinTheta_O sinTheta_i)
✓accuracy99.7%
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
✓accuracy73.8%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))
✓accuracy100.0%
(exp.f32 #s(literal 6931/10000 binary32))
✓accuracy98.9%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
✓accuracy100.0%
(/.f32 cosTheta_i v)
✓accuracy99.9%
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓accuracy99.3%
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓accuracy99.8%
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓accuracy99.8%
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓accuracy99.8%
(exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓accuracy99.3%
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
Results
132.0ms256×0valid
Compiler

Compiled 186 to 33 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-div: 17.0ms (32.1% of total)
ival-exp: 12.0ms (22.7% of total)
ival-mult: 8.0ms (15.1% of total)
ival-add: 5.0ms (9.5% of total)
ival-log: 4.0ms (7.6% of total)
...c/correct-round.rkt:119:19: 4.0ms (7.6% of total)
ival-sub: 3.0ms (5.7% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

series45.0ms (0.3%)

Counts
19 → 564
Calls
Call 1
Inputs
#<alt (exp (+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v))))>
#<alt (+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v)))>
#<alt (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v)))>
#<alt (log (/ 1/2 v))>
#<alt (exp (* cosTheta_O (/ cosTheta_i v)))>
#<alt (* cosTheta_O (/ cosTheta_i v))>
#<alt (/ cosTheta_i v)>
#<alt (/ (* 1/2 (exp 6931/10000)) v)>
#<alt (* 1/2 (exp 6931/10000))>
#<alt (exp 6931/10000)>
#<alt (exp (- 0 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (- 0 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (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)>
#<alt (+ 6931/10000 (/ -1 v))>
Outputs
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))>
#<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)) 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) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) 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) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) 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)))) 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))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* -1 (* cosTheta_O cosTheta_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))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) v)))>
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) v))>
#<alt (+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v))))>
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#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* 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 (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 (* -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 (/ (- (* 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) 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 (* 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 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_O v))) (/ cosTheta_i v)))>
#<alt (* cosTheta_O (+ (* -1 (/ (+ 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)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))>
#<alt (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v))>
#<alt (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) (* cosTheta_i v))) (/ cosTheta_O v)))>
#<alt (* cosTheta_i (+ (* -1 (/ (+ 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)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (+ (/ 1 (* cosTheta_i v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_i v))))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))>
#<alt (* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (* -1 (* sinTheta_O (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_O)) (/ sinTheta_i v))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))>
#<alt (* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (* -1 (* sinTheta_i (+ (* -1 (/ (- (/ (* cosTheta_O cosTheta_i) v) (/ 1 v)) sinTheta_i)) (/ sinTheta_O v))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v)>
#<alt (* -1 (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O (+ cosTheta_i (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_O))))>
#<alt (* cosTheta_O (+ cosTheta_i (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_O))))>
#<alt (* cosTheta_O (+ cosTheta_i (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_O))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))))>
#<alt (* -1 (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i)))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_i (+ cosTheta_O (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))))>
#<alt (* cosTheta_i (+ cosTheta_O (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))))>
#<alt (* cosTheta_i (+ cosTheta_O (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) cosTheta_i))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (+ (/ 1 cosTheta_i) (/ (* sinTheta_O sinTheta_i) cosTheta_i)))))>
#<alt (- (* cosTheta_O cosTheta_i) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (+ sinTheta_i (/ 1 sinTheta_O))))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (+ sinTheta_i (/ 1 sinTheta_O))))>
#<alt (* sinTheta_O (- (/ (* cosTheta_O cosTheta_i) sinTheta_O) (+ sinTheta_i (/ 1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)) (* -1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)) (* -1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)) (* -1 sinTheta_i))))>
#<alt (- (* cosTheta_O cosTheta_i) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* -1 (* sinTheta_O sinTheta_i)) (* cosTheta_O cosTheta_i)) 1)>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))>
#<alt (* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))>
#<alt (* -1 (* sinTheta_O sinTheta_i))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (/ -1 v)>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt 6931/10000>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt 6931/10000>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
Calls

141 calls:

TimeVariablePointExpression
2.0ms
v
@0
(/ cosTheta_i v)
1.0ms
v
@0
(/ (* 1/2 (exp 6931/10000)) v)
1.0ms
cosTheta_O
@0
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))
1.0ms
v
@inf
(exp (+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v))))
1.0ms
sinTheta_O
@0
(exp (/ (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) v))

rewrite525.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
4978×*-lowering-*.f32
4978×*-lowering-*.f64
2864×/-lowering-/.f32
2864×/-lowering-/.f64
2488×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032127
1183123
21711123
08636123
Stop Event
1×iter limit
1×node limit
Counts
19 → 565
Calls
Call 1
Inputs
(exp (+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v))))
(+ (+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v))) (+ 6931/10000 (/ -1 v)))
(+ (log (/ 1/2 v)) (* cosTheta_O (/ cosTheta_i v)))
(log (/ 1/2 v))
(exp (* cosTheta_O (/ cosTheta_i v)))
(* cosTheta_O (/ cosTheta_i v))
(/ cosTheta_i v)
(/ (* 1/2 (exp 6931/10000)) v)
(* 1/2 (exp 6931/10000))
(exp 6931/10000)
(exp (- 0 (/ (* sinTheta_O sinTheta_i) v)))
(- 0 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_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 (/ -1 v))
Outputs
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(pow.f32 (exp.f32 (+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 3 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (exp.f32 (log.f32 #s(literal 1/2 binary32))) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (exp.f32 (/.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))) (exp.f32 (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (exp.f32 (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) 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 #s(literal 1/2 binary32) v))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)))))
(*.f32 (exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+.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)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
(+.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32))))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal -1 binary32) v))
(+.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v)) #s(literal 6931/10000 binary32))
(+.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(pow.f32 (/.f32 (+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))) (+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 3 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (-.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal -1 binary32))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32))))
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32))))
(fma.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(fma.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (neg.f32 v)))) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32))))
(fma.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (/.f32 #s(literal 1 binary32) (-.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)))
(fma.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(-.f32 (/.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))) (+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 3 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (-.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 3 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (+.f32 (pow.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))))
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(neg.f32 (/.f32 (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) v))
(exp.f32 (*.f32 (log.f32 (/.f32 v (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))) #s(literal -1 binary32)))
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(fma.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O) (neg.f32 (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)))
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) v) (neg.f32 (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v)))
(-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) v))
(-.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 v (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v)
(/.f32 (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (neg.f32 v))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))) (*.f32 v (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))))))
(/.f32 (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (*.f32 v (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 v (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (*.f32 v v))
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))) v))
(/.f32 (*.f32 (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) v))
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))) (neg.f32 (neg.f32 v)))
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(/.f32 (*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) #s(literal 1 binary32)) v)
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(/.f32 (-.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (neg.f32 v))
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(/.f32 (-.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (neg.f32 v))
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(pow.f32 (/.f32 (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))) (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))) #s(literal -1 binary32))
(fma.f32 cosTheta_O cosTheta_i (neg.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(fma.f32 cosTheta_i cosTheta_O (neg.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(fma.f32 #s(literal -1 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (*.f32 cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))
(-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))
(-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))))) (/.f32 (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))))))
(-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (/.f32 (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))))
(-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))) (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (-.f32 (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))))))
(/.f32 (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))))) (neg.f32 (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))) (neg.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))))) (+.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (+.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i))) (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))))
(/.f32 (-.f32 (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i)))) (+.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)))
(*.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i)))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))))))
(*.f32 (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_O cosTheta_i))) (*.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1 binary32)))))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (neg.f32 v))) (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32) #s(literal 6931/10000 binary32))
(-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (neg.f32 v))) (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v)))) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (neg.f32 v))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v))) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (neg.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v))))) (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (neg.f32 v)))))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) (neg.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 48038761/100000000 binary32)) (-.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))
(*.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)) (neg.f32 v)))))
(*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))

simplify338.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
5126×*-lowering-*.f32
5126×*-lowering-*.f64
2210×+-lowering-+.f64
2210×+-lowering-+.f32
1508×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05486040
118095418
266545330
082255330
Stop Event
1×iter limit
1×node limit
Counts
564 → 564
Calls
Call 1
Inputs
(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)))
(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)))
(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)) 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) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) 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) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) v))))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) 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))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* -1 (* cosTheta_O cosTheta_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))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) v)))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) 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)))
(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)))
(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)))
(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)))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) 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)))
(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)))
(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)))
(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)))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) 1) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) 1) v)
(/ (- (+ (* cosTheta_O cosTheta_i) (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v)))))) 1) v)
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))) (/ 1 v))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) v)))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) v)))))
(+ 6931/10000 (+ (log -1/2) (+ (log (/ -1 v)) (* -1 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) v)))))
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 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))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O))) (/ 1 (* cosTheta_O v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_O)))))
(- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v))
(- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 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))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i))) (/ 1 (* cosTheta_i v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)) cosTheta_i)))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) v)
(/ (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) v)
(/ (+ (* cosTheta_O cosTheta_i) (* v (+ (log 1/2) (* -1 (log v))))) v)
(+ (log 1/2) (log (/ 1 v)))
(+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))
(+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))
(+ (log 1/2) (+ (log (/ 1 v)) (/ (* cosTheta_O cosTheta_i) v)))
(+ (log -1/2) (log (/ -1 v)))
(+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))
(+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))
(+ (log -1/2) (+ (log (/ -1 v)) (/ (* cosTheta_O cosTheta_i) v)))
(log (/ 1/2 v))
(+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))
(+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)))
(* cosTheta_O (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)))
(* cosTheta_O (+ (/ cosTheta_i v) (/ (log (/ 1/2 v)) cosTheta_O)))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (log (/ 1/2 v)) cosTheta_O)))))
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(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (log (/ 1/2 v)) cosTheta_O)))))
(log (/ 1/2 v))
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(* cosTheta_i (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)))
(* cosTheta_i (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)))
(* cosTheta_i (+ (/ cosTheta_O v) (/ (log (/ 1/2 v)) cosTheta_i)))
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(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (log (/ 1/2 v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (log (/ 1/2 v)) cosTheta_i)))))
(+ (log 1/2) (* -1 (log v)))
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1
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(exp (/ (* cosTheta_O cosTheta_i) v))
1
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(exp (/ (* cosTheta_O cosTheta_i) v))
1
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1
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(/ (* 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)
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
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(/ (* 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)
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(/ (* cosTheta_O cosTheta_i) v)
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(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
(* 1/2 (/ (exp 6931/10000) v))
1
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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))))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
1
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(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(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))
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(+ (* -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))))
(* 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)
(/ -1 v)
(/ (- (* 6931/10000 v) 1) v)
(/ (- (* 6931/10000 v) 1) v)
(/ (- (* 6931/10000 v) 1) v)
6931/10000
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
6931/10000
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
Outputs
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) v))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) 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) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) v)))
(+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) (+.f32 (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) v) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))))) (*.f32 v v))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* 1/6 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (- (* cosTheta_O cosTheta_i) 1)) v))))
(+.f32 (+.f32 (+.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) (/.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))))) (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))))) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))) (*.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))))) (*.f32 v v)))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32)))))
(+ (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)))) v)))
(-.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))))) (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_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))) 2)) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) v)))
(-.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))))) (/.f32 (+.f32 (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))))) (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v) #s(literal -1/2 binary32)))) 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))) 3)) v)) (* 1/2 (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2)))) v)) (* (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) v)))
(-.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))))) (/.f32 (-.f32 (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) (/.f32 (+.f32 (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)) #s(literal -1/6 binary32))) (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1/2 binary32)))) v)) v))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) v))
(+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) v))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 2))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v))))
(+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 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 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v v)))))
(+ (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))) v))))
(+.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O (+.f32 (*.f32 (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 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 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_i)) (exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 v v)))))))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)))
(exp (- (+ 6931/10000 (+ (log (/ 1/2 v)) (/ (* cosTheta_O cosTheta_i) v))) (/ 1 v)))
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(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (-.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) v) v))) (/.f32 sinTheta_O v))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v)) (/.f32 sinTheta_O v))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v)) (/.f32 sinTheta_O v))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (*.f32 v v)))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O sinTheta_O)) v)) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) v) #s(literal -1/6 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) sinTheta_i)) v)) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(exp (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 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))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 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))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 cosTheta_O (+.f32 (*.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_i v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i cosTheta_i))) (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 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))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 cosTheta_O (+.f32 (*.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_i v)) (*.f32 cosTheta_O (+.f32 (*.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 cosTheta_i cosTheta_i))) (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_i) (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))) (*.f32 v 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))
(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 (* -1 (/ (+ 1 (* sinTheta_O sinTheta_i)) v)))
(exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 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))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 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))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_i (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (/.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 v v)))) (*.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O 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))))
(+.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 cosTheta_i (+.f32 (*.f32 (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (/.f32 cosTheta_O v)) (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_O) (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_O)) (exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 v 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))
(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) 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 (*.f32 #s(literal 1/2 binary32) (*.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 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 sinTheta_i 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 (*.f32 #s(literal -1/6 binary32) sinTheta_O) (*.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (*.f32 v (*.f32 v v))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v)))))) (*.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 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))
(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) 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_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))))))
(+.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v))) (*.f32 v v)) (*.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 sinTheta_O v)))))
(+ (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))))))))
(+.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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_i (*.f32 sinTheta_O sinTheta_O)))) (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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) #s(literal -1 binary32)) v)) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)))))) (*.f32 (exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) v)) (/.f32 sinTheta_O 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))
(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 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.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 #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 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v)))) (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) 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 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v))))) (+.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 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v)))) (/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) 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 (*.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)))) (* -1/2 (/ (pow (- (* cosTheta_O cosTheta_i) (+ 1 (* sinTheta_O sinTheta_i))) 2) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (-.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 #s(literal 1/6 binary32) (*.f32 (*.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i))) (/.f32 (-.f32 (+.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 v cosTheta_O))))
(* 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 v cosTheta_O))))
(* 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 v cosTheta_O))))
(/ (* 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))))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (/.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O)) v)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (/.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O)) v)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (+ (/ 1 (* cosTheta_O v)) (/ (* sinTheta_O sinTheta_i) (* cosTheta_O v))))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (/.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O)) v)) (/.f32 cosTheta_i v)) (neg.f32 cosTheta_O))
(* -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 v cosTheta_i))))
(* 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 v cosTheta_i))))
(* 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 v cosTheta_i))))
(/ (* 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 #s(literal 1 binary32) (*.f32 v cosTheta_i)) (*.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_i)))) (/.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 #s(literal 1 binary32) (*.f32 v cosTheta_i)) (*.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_i)))) (/.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 #s(literal 1 binary32) (*.f32 v cosTheta_i)) (*.f32 sinTheta_i (/.f32 sinTheta_O (*.f32 v cosTheta_i)))) (/.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 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* sinTheta_O (- (+ (* -1 (/ sinTheta_i v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ 1 (* sinTheta_O v))))
(*.f32 sinTheta_O (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #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 #s(literal 0 binary32) (/.f32 sinTheta_i v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 v sinTheta_O))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 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 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) 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 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) 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 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) 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 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(- (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 sinTheta_O sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(*.f32 sinTheta_i (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 v sinTheta_i))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(*.f32 sinTheta_i (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 v sinTheta_i))))
(* sinTheta_i (- (+ (* -1 (/ sinTheta_O v)) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ 1 (* sinTheta_i v))))
(*.f32 sinTheta_i (+.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) (*.f32 v sinTheta_i))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 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 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) 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 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) 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 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) 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)))))
(neg.f32 (*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (*.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O))) cosTheta_i)))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))))
(neg.f32 (*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (*.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O))) cosTheta_i)))
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (+ (/ 1 cosTheta_O) (/ (* sinTheta_O sinTheta_i) cosTheta_O)))))
(neg.f32 (*.f32 cosTheta_O (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta_O) (*.f32 sinTheta_O (/.f32 sinTheta_i cosTheta_O))) cosTheta_i)))
(* -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))
(neg.f32 (*.f32 sinTheta_O 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) #s(literal -1 binary32)) sinTheta_O) 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) #s(literal -1 binary32)) sinTheta_O) 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) #s(literal -1 binary32)) sinTheta_O) sinTheta_i))
(* -1 (* sinTheta_O sinTheta_i))
(neg.f32 (*.f32 sinTheta_O sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 sinTheta_O (-.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) sinTheta_O) sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 sinTheta_O (-.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) sinTheta_O) sinTheta_i))
(* -1 (* sinTheta_O (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_O)) (* -1 sinTheta_i))))
(*.f32 sinTheta_O (-.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) sinTheta_O) sinTheta_i))
(- (* 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))
(neg.f32 (*.f32 sinTheta_O 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) #s(literal -1 binary32)) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))
(*.f32 sinTheta_i (-.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) sinTheta_i) sinTheta_O))
(* sinTheta_i (- (/ (* cosTheta_O cosTheta_i) sinTheta_i) (+ sinTheta_O (/ 1 sinTheta_i))))
(*.f32 sinTheta_i (-.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) sinTheta_i) sinTheta_O))
(* -1 (* sinTheta_O sinTheta_i))
(neg.f32 (*.f32 sinTheta_O sinTheta_i))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 sinTheta_i (-.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) sinTheta_i) sinTheta_O))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 sinTheta_i (-.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) sinTheta_i) sinTheta_O))
(* -1 (* sinTheta_i (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) sinTheta_i)) (* -1 sinTheta_O))))
(*.f32 sinTheta_i (-.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)) sinTheta_i) sinTheta_O))
(* 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)
(* 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)
(* 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 v)
(/.f32 #s(literal -1 binary32) v)
(/ (- (* 6931/10000 v) 1) v)
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 6931/10000 binary32) v)) v)
(/ (- (* 6931/10000 v) 1) v)
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 6931/10000 binary32) v)) v)
(/ (- (* 6931/10000 v) 1) v)
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 6931/10000 binary32) v)) v)
6931/10000
#s(literal 6931/10000 binary32)
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
6931/10000
#s(literal 6931/10000 binary32)
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))

eval150.0ms (1.1%)

Compiler

Compiled 34053 to 2876 computations (91.6% saved)

prune143.0ms (1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1240101250
Fresh011
Picked415
Done000
Total1244121256
Accuracy
99.9%
Counts
1256 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)
▶99.9%
(/.f32 (exp.f32 (log.f32 #s(literal 1/2 binary32))) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
▶6.2%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
6.3%
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
94.3%
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
98.5%
(exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
▶12.4%
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
▶98.5%
(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
99.8%
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
12.4%
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
✓9.5%
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
▶6.4%
#s(literal 1 binary32)
Compiler

Compiled 345 to 270 computations (21.7% saved)

simplify196.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓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) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓cost-diff0
(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓cost-diff0
(neg.f32 v)
✓cost-diff0
(*.f32 sinTheta_O sinTheta_i)
✓cost-diff0
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
✓cost-diff0
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
✓cost-diff0
(*.f32 sinTheta_O sinTheta_i)
✓cost-diff0
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓cost-diff0
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓cost-diff0
(log.f32 #s(literal 1/2 binary32))
✓cost-diff3200
(exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
✓cost-diff6400
(exp.f32 (log.f32 #s(literal 1/2 binary32)))
✓cost-diff9600
(/.f32 (exp.f32 (log.f32 #s(literal 1/2 binary32))) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
Rules
1958×fma-lowering-fma.f32
1958×fma-lowering-fma.f64
1798×fmsub-define
1786×fnmadd-define
1644×fnmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027169
158161
2152160
3467153
41575151
55716151
08760151
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (exp (log 1/2)) (exp (- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))))
(exp (log 1/2))
(log 1/2)
1/2
(exp (- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v)))))
(- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))
(log v)
v
(+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(+ 6931/10000 (/ -1 v))
6931/10000
(/ -1 v)
-1
1
(- 1 (/ (* sinTheta_O sinTheta_i) v))
1
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(exp (/ (* sinTheta_O sinTheta_i) (neg v)))
(/ (* sinTheta_O sinTheta_i) (neg v))
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(neg v)
v
(exp (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))
(+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(+ 6931/10000 (/ -1 v))
6931/10000
(/ -1 v)
-1
Outputs
(/ (exp (log 1/2)) (exp (- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))))
(*.f32 (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 #s(literal 1/2 binary32) v))
(exp (log 1/2))
#s(literal 1/2 binary32)
(log 1/2)
(log.f32 #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(exp (- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v)))))
(/.f32 v (exp.f32 (-.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))
(+.f32 (-.f32 (log.f32 v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(log v)
(log.f32 v)
v
(+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v)))
(-.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal 1 binary32) v) (/.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
(+ 6931/10000 (/ -1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)
1
#s(literal 1 binary32)
(- 1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
1
#s(literal 1 binary32)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(exp (/ (* sinTheta_O sinTheta_i) (neg v)))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(/ (* sinTheta_O sinTheta_i) (neg v))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(neg v)
(neg.f32 v)
v
(exp (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))
(exp.f32 (-.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))))
(+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v)))
(-.f32 #s(literal 6931/10000 binary32) (-.f32 (/.f32 #s(literal 1 binary32) v) (/.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
(+ 6931/10000 (/ -1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)

localize214.0ms (1.6%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓accuracy99.8%
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓accuracy99.8%
(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓accuracy76.3%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓accuracy100.0%
(*.f32 sinTheta_O sinTheta_i)
✓accuracy100.0%
(neg.f32 v)
✓accuracy99.7%
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
✓accuracy73.8%
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
✓accuracy100.0%
(*.f32 sinTheta_O sinTheta_i)
✓accuracy99.9%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓accuracy73.8%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓accuracy99.8%
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓accuracy99.8%
(exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
✓accuracy99.8%
(-.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓accuracy76.3%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
Results
156.0ms256×0valid
Compiler

Compiled 179 to 28 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 66.0ms
ival-add: 26.0ms (39.5% of total)
ival-div: 12.0ms (18.2% of total)
ival-exp: 8.0ms (12.2% of total)
ival-log: 7.0ms (10.6% of total)
ival-mult: 4.0ms (6.1% of total)
...c/correct-round.rkt:119:19: 4.0ms (6.1% of total)
ival-sub: 2.0ms (3% of total)
const: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series60.0ms (0.4%)

Counts
16 → 432
Calls
Call 1
Inputs
#<alt (/ (exp (log 1/2)) (exp (- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))))>
#<alt (exp (log 1/2))>
#<alt (exp (- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v)))))>
#<alt (log 1/2)>
#<alt (- 1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (exp (/ (* sinTheta_O sinTheta_i) (neg v)))>
#<alt (/ (* sinTheta_O sinTheta_i) (neg v))>
#<alt (neg v)>
#<alt (exp (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))>
#<alt (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))>
#<alt (+ 6931/10000 (/ -1 v))>
Outputs
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))>
#<alt (+ (* -1/2 (/ (- 1 (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))>
#<alt (- (+ (* -1 (/ (+ (* -1/2 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/4 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (pow v 2))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ (- 1 (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (+ (* -1/2 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/4 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (- 1 (* cosTheta_O cosTheta_i)))) (+ (* -1/4 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 3) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/12 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 3) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))) (pow v 3))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (+ (* -1/2 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (* (pow v 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (+ (* 1/4 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (* (pow v 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ (- 1 (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))))))>
#<alt (/ 1/2 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))>
#<alt (+ (* -1/2 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))>
#<alt (+ (* -1 (/ (- (+ (* -1/2 (/ (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/4 (/ (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) (* -1/2 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/12 (/ (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 3) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (+ (* 1/4 (/ (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 3) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (/ (* (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (+ (* -1/2 (/ (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/4 (/ (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) v))) (+ (* -1/2 (/ (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/4 (/ (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (* -1/2 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))>
#<alt (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))>
#<alt (+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (/ 1 v)) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))>
#<alt (+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/12 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (/ (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (/ 1 v)) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))>
#<alt (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))>
#<alt (+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (/ 1 v)) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))>
#<alt (+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/12 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (/ (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (/ 1 v)) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))>
#<alt (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))>
#<alt (exp (- (* -1 (log (/ 1 v))) 6931/10000))>
#<alt (+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- 1 (* cosTheta_O cosTheta_i))) v))>
#<alt (+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- 1 (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- 1 (* cosTheta_O cosTheta_i))) v)))>
#<alt (+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- 1 (* cosTheta_O cosTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- 1 (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- 1 (* cosTheta_O cosTheta_i))) v))))>
#<alt (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))>
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#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt 6931/10000>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) v)))>
#<alt (+ 6931/10000 (* -1 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) v)))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (/ (- 1 (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (- (+ 1 (* v (- (log v) 6931/10000))) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (- (+ 1 (* v (- (log v) 6931/10000))) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (- (+ 1 (* v (- (log v) 6931/10000))) (* cosTheta_O cosTheta_i)) v)>
#<alt (- (* -1 (log (/ 1 v))) 6931/10000)>
#<alt (- (+ (* -1 (log (/ 1 v))) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (- (+ (* -1 (log (/ 1 v))) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (- (+ (* -1 (log (/ 1 v))) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))>
#<alt (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 v))) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) 6931/10000)>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 v))) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) 6931/10000)>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 v))) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) 6931/10000)>
#<alt (- (+ (log v) (/ 1 v)) 6931/10000)>
#<alt (- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)>
#<alt (- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)>
#<alt (- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (/ (log v) cosTheta_O)) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))>
#<alt (* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (/ (log v) cosTheta_O)) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))>
#<alt (* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (/ (log v) cosTheta_O)) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))>
#<alt (- (+ (log v) (/ 1 v)) 6931/10000)>
#<alt (- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)>
#<alt (- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)>
#<alt (- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))>
#<alt (* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))>
#<alt (* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))>
#<alt (* -1 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))>
#<alt (* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))>
#<alt (/ -1 v)>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt 6931/10000>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt 6931/10000>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
Calls

108 calls:

TimeVariablePointExpression
22.0ms
v
@0
(- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))
5.0ms
cosTheta_i
@inf
(/ (exp (log 1/2)) (exp (- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))))
5.0ms
cosTheta_O
@0
(- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))
3.0ms
v
@-inf
(- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))
2.0ms
v
@0
(/ (exp (log 1/2)) (exp (- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))))

rewrite465.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
5580×*-lowering-*.f32
5580×*-lowering-*.f64
4376×/-lowering-/.f32
4376×/-lowering-/.f64
2304×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027115
1138108
21309107
010006107
Stop Event
1×iter limit
1×node limit
Counts
16 → 428
Calls
Call 1
Inputs
(/ (exp (log 1/2)) (exp (- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))))
(exp (log 1/2))
(exp (- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v)))))
(log 1/2)
(- 1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(exp (/ (* sinTheta_O sinTheta_i) (neg v)))
(/ (* sinTheta_O sinTheta_i) (neg v))
(neg v)
(exp (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))
(+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v)))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(- (log v) (+ (/ (* cosTheta_O cosTheta_i) v) (+ 6931/10000 (/ -1 v))))
(+ 6931/10000 (/ -1 v))
Outputs
(neg.f32 (/.f32 #s(literal -1/2 binary32) (/.f32 v (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(exp.f32 (*.f32 (log.f32 (/.f32 v (*.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))))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (*.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)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 v (*.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)))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (neg.f32 v) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v (*.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))))))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.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)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.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)))))) #s(literal 1 binary32)))
(/.f32 #s(literal -1/2 binary32) (/.f32 (neg.f32 v) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (exp.f32 (neg.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (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 #s(literal 1 binary32) v) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) #s(literal 1/2 binary32))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v))) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (exp.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
#s(literal 1/2 binary32)
(exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v) #s(literal -1 binary32))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))) (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 v (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) v))
(/.f32 (neg.f32 v) (neg.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 v (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))))) (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))))))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (+.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))) (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (+.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))))
(/.f32 (exp.f32 (-.f32 (log.f32 v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(/.f32 (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (exp.f32 (-.f32 (-.f32 (log.f32 v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (exp.f32 (-.f32 (-.f32 (log.f32 v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))
(*.f32 v (exp.f32 (neg.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (exp.f32 (neg.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) v)
(*.f32 (/.f32 v (exp.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v))) (exp.f32 (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(log.f32 #s(literal 1/2 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) v))
(+.f32 (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1 binary32)) v) #s(literal 1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 v (*.f32 v v))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))
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(-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) v)) (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v)))) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) v)))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v))))) (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) v))))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 48038761/100000000 binary32)) (-.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal -1 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) v))))
(*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))

simplify359.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
4928×*-lowering-*.f32
4928×*-lowering-*.f64
1902×+-lowering-+.f64
1902×+-lowering-+.f32
1776×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05014879
116994237
264844201
081954201
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))
(+ (* -1/2 (/ (- 1 (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))
(- (+ (* -1 (/ (+ (* -1/2 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/4 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (pow v 2))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ (- 1 (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))))
(- (+ (* -1 (/ (+ (* -1 (* (+ (* -1/2 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/4 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (- 1 (* cosTheta_O cosTheta_i)))) (+ (* -1/4 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 3) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/12 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 3) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))) (pow v 3))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (+ (* -1/2 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (* (pow v 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (+ (* 1/4 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (* (pow v 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ (- 1 (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))))))
(/ 1/2 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))
(+ (* -1/2 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))
(+ (* -1 (/ (- (+ (* -1/2 (/ (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (* 1/4 (/ (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) (* -1/2 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/12 (/ (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 3) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (+ (* 1/4 (/ (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 3) (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) (/ (* (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (+ (* -1/2 (/ (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/4 (/ (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) v))) (+ (* -1/2 (/ (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/4 (/ (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (* -1/2 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))
(+ (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (/ 1 v)) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))
(+ (* cosTheta_O (- (* cosTheta_O (- (* -1 (* cosTheta_O (+ (* -1/12 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_i 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (/ (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_i 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))))) (* -1/2 (/ cosTheta_i (* v (exp (- (+ (log v) (/ 1 v)) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))
(+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (* v (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))
(+ (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (/ 1 v)) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))
(+ (* cosTheta_i (- (* cosTheta_i (- (* -1 (* cosTheta_i (+ (* -1/12 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (+ (* 1/4 (/ (pow cosTheta_O 3) (* (pow v 3) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (/ (* cosTheta_O (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))))) v))))) (+ (* -1/2 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))))) (* 1/4 (/ (pow cosTheta_O 2) (* (pow v 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))))) (* -1/2 (/ cosTheta_O (* v (exp (- (+ (log v) (/ 1 v)) 6931/10000))))))) (* 1/2 (/ 1 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (* -1 (log (/ 1 v))) 6931/10000))
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- 1 (* cosTheta_O cosTheta_i))) v))
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/2 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- 1 (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- 1 (* cosTheta_O cosTheta_i))) v)))
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/6 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- 1 (* cosTheta_O cosTheta_i)) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow (- 1 (* cosTheta_O cosTheta_i)) 2)) (pow v 2))) (/ (* (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (- 1 (* cosTheta_O cosTheta_i))) v))))
(exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))
(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (/ (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) v))
(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) (* -1/2 (/ (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2)) v))) v)))
(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) (* -1 (/ (+ (* 1/6 (/ (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 3)) v)) (* 1/2 (* (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2)))) v))) v)))
(exp (- (+ (log v) (/ 1 v)) 6931/10000))
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(+ (exp (- (+ (log v) (/ 1 v)) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (/ 1 v)) 6931/10000))) v)) (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log v) (/ 1 v)) 6931/10000)) (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (exp (- (+ (log v) (/ 1 v)) 6931/10000))) v)) (* cosTheta_O (+ (* -1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- (+ (log v) (/ 1 v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))) (pow v 2))))))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
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(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log v) (/ 1 v)) 6931/10000))
(+ (exp (- (+ (log v) (/ 1 v)) 6931/10000)) (* -1 (/ (* cosTheta_O (* cosTheta_i (exp (- (+ (log v) (/ 1 v)) 6931/10000)))) v)))
(+ (exp (- (+ (log v) (/ 1 v)) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (/ 1 v)) 6931/10000))) v)) (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- (+ (log v) (/ 1 v)) 6931/10000)))) (pow v 2))))))
(+ (exp (- (+ (log v) (/ 1 v)) 6931/10000)) (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (exp (- (+ (log v) (/ 1 v)) 6931/10000))) v)) (* cosTheta_i (+ (* -1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- (+ (log v) (/ 1 v)) 6931/10000)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- (+ (log v) (/ 1 v)) 6931/10000))) (pow v 2))))))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
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(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
(exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (- (/ 1 sinTheta_O) (/ sinTheta_i v)))
(* sinTheta_O (- (/ 1 sinTheta_O) (/ sinTheta_i v)))
(* sinTheta_O (- (/ 1 sinTheta_O) (/ sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ 1 sinTheta_O)))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ 1 sinTheta_O)))
(* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ 1 sinTheta_O)))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (- (/ 1 sinTheta_i) (/ sinTheta_O v)))
(* sinTheta_i (- (/ 1 sinTheta_i) (/ sinTheta_O v)))
(* sinTheta_i (- (/ 1 sinTheta_i) (/ sinTheta_O v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ 1 sinTheta_i)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ 1 sinTheta_i)))
(* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ 1 sinTheta_i)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (- v (* sinTheta_O sinTheta_i)) v)
(/ (- v (* sinTheta_O sinTheta_i)) v)
(/ (- v (* sinTheta_O sinTheta_i)) v)
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
(* sinTheta_O sinTheta_i)
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
1
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(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
1
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1
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(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
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(* -1 v)
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(* -1 v)
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(exp (- 6931/10000 (/ 1 v)))
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(+ (exp (- 6931/10000 (/ 1 v))) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) v))))
(+ (exp (- 6931/10000 (/ 1 v))) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_i (exp (- 6931/10000 (/ 1 v)))) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- 6931/10000 (/ 1 v)))
(+ (exp (- 6931/10000 (/ 1 v))) (/ (* cosTheta_O (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) v))
(+ (exp (- 6931/10000 (/ 1 v))) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 2))) (/ (* cosTheta_O (exp (- 6931/10000 (/ 1 v)))) v))))
(+ (exp (- 6931/10000 (/ 1 v))) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (- 6931/10000 (/ 1 v))))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (- 6931/10000 (/ 1 v)))) (pow v 2))))) (/ (* cosTheta_O (exp (- 6931/10000 (/ 1 v)))) v))))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))
(exp 6931/10000)
(+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))
(+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))
(+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))
(exp 6931/10000)
(+ (exp 6931/10000) (* -1 (/ (* (exp 6931/10000) (+ 1 (* -1 (* cosTheta_O cosTheta_i)))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1/2 (/ (* (exp 6931/10000) (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2)) v)) (* (exp 6931/10000) (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) v)))
(+ (exp 6931/10000) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (exp 6931/10000) (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (+ 1 (* -1 (* cosTheta_O cosTheta_i))) 2)))) v)) (* (exp 6931/10000) (+ 1 (* -1 (* cosTheta_O cosTheta_i))))) v)))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O)))))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O)))))
(- 6931/10000 (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i)))))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i)))))
(/ (- (* cosTheta_O cosTheta_i) 1) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)
(/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)
6931/10000
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
(- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))
6931/10000
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(+ 6931/10000 (* -1 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) v)))
(+ 6931/10000 (* -1 (/ (+ 1 (* -1 (* cosTheta_O cosTheta_i))) v)))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(/ (- 1 (* cosTheta_O cosTheta_i)) v)
(/ (- (+ 1 (* v (- (log v) 6931/10000))) (* cosTheta_O cosTheta_i)) v)
(/ (- (+ 1 (* v (- (log v) 6931/10000))) (* cosTheta_O cosTheta_i)) v)
(/ (- (+ 1 (* v (- (log v) 6931/10000))) (* cosTheta_O cosTheta_i)) v)
(- (* -1 (log (/ 1 v))) 6931/10000)
(- (+ (* -1 (log (/ 1 v))) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (* -1 (log (/ 1 v))) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (* -1 (log (/ 1 v))) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) 6931/10000)
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) 6931/10000)
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) 6931/10000)
(- (+ (log v) (/ 1 v)) 6931/10000)
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(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)
(* -1 (/ (* cosTheta_O cosTheta_i) v))
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(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (/ (log v) cosTheta_O)) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (/ (log v) cosTheta_O)) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(- (+ (log v) (/ 1 v)) 6931/10000)
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(/ -1 v)
(/ (- (* 6931/10000 v) 1) v)
(/ (- (* 6931/10000 v) 1) v)
(/ (- (* 6931/10000 v) 1) v)
6931/10000
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
6931/10000
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
Outputs
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))))
(/ 1/2 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))))
(+ (* -1/2 (/ (- 1 (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))
(+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)) (exp.f32 (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) (/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))))
(- (+ (* -1 (/ (+ (* -1/2 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/4 (/ (pow (- 1 (* cosTheta_O cosTheta_i)) 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (pow v 2))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (* 1/2 (/ (- 1 (* cosTheta_O cosTheta_i)) (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))))
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(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (- (+ 1 (* v (- (log v) 6931/10000))) (* cosTheta_O cosTheta_i)) v)
(/.f32 (+.f32 (*.f32 v (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)
(/ (- (+ 1 (* v (- (log v) 6931/10000))) (* cosTheta_O cosTheta_i)) v)
(/.f32 (+.f32 (*.f32 v (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)
(/ (- (+ 1 (* v (- (log v) 6931/10000))) (* cosTheta_O cosTheta_i)) v)
(/.f32 (+.f32 (*.f32 v (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i))) v)
(- (* -1 (log (/ 1 v))) 6931/10000)
(+.f32 (log.f32 v) #s(literal -6931/10000 binary32))
(- (+ (* -1 (log (/ 1 v))) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))
(- (+ (* -1 (log (/ 1 v))) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))
(- (+ (* -1 (log (/ 1 v))) (/ 1 v)) (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))
(- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -6931/10000 binary32))
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) 6931/10000)
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32)))
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) 6931/10000)
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32)))
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))) 6931/10000)
(+.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) #s(literal -6931/10000 binary32)))
(- (+ (log v) (/ 1 v)) 6931/10000)
(+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(neg.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (/ (log v) cosTheta_O)) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (-.f32 (/.f32 (log.f32 v) cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)))))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (/ (log v) cosTheta_O)) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (-.f32 (/.f32 (log.f32 v) cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)))))
(* cosTheta_O (- (+ (/ 1 (* cosTheta_O v)) (/ (log v) cosTheta_O)) (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v))))
(*.f32 cosTheta_O (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_O)) (-.f32 (/.f32 (log.f32 v) cosTheta_O) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_O) (/.f32 cosTheta_i v)))))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(neg.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(*.f32 (*.f32 (neg.f32 cosTheta_O) #s(literal -1 binary32)) (-.f32 (/.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) cosTheta_O) (/.f32 cosTheta_i v)))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(*.f32 (*.f32 (neg.f32 cosTheta_O) #s(literal -1 binary32)) (-.f32 (/.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) cosTheta_O) (/.f32 cosTheta_i v)))
(* -1 (* cosTheta_O (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_O)) (* -1 (/ cosTheta_i v)))))
(*.f32 (*.f32 (neg.f32 cosTheta_O) #s(literal -1 binary32)) (-.f32 (/.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) cosTheta_O) (/.f32 cosTheta_i v)))
(- (+ (log v) (/ 1 v)) 6931/10000)
(+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))
(- (+ (log v) (+ (* -1 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))) 6931/10000)
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) v) (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(neg.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(*.f32 cosTheta_i (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i)) (/.f32 (log.f32 v) cosTheta_i)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 cosTheta_O v))))
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(*.f32 cosTheta_i (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i)) (/.f32 (log.f32 v) cosTheta_i)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 cosTheta_O v))))
(* cosTheta_i (- (+ (/ 1 (* cosTheta_i v)) (/ (log v) cosTheta_i)) (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v))))
(*.f32 cosTheta_i (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v cosTheta_i)) (/.f32 (log.f32 v) cosTheta_i)) (+.f32 (/.f32 #s(literal 6931/10000 binary32) cosTheta_i) (/.f32 cosTheta_O v))))
(* -1 (/ (* cosTheta_O cosTheta_i) v))
(neg.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(*.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (neg.f32 cosTheta_i))) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(*.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (neg.f32 cosTheta_i))) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (- (* -1 (/ (- (+ (log v) (/ 1 v)) 6931/10000) cosTheta_i)) (* -1 (/ cosTheta_O v)))))
(*.f32 (+.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (neg.f32 cosTheta_i))) (neg.f32 cosTheta_i))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(/ (- (* 6931/10000 v) 1) v)
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(/ (- (* 6931/10000 v) 1) v)
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(/ (- (* 6931/10000 v) 1) v)
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
6931/10000
#s(literal 6931/10000 binary32)
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
6931/10000
#s(literal 6931/10000 binary32)
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))

eval104.0ms (0.8%)

Compiler

Compiled 30522 to 2717 computations (91.1% saved)

prune163.0ms (1.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New120081208
Fresh336
Picked415
Done101
Total1208121220
Accuracy
99.9%
Counts
1220 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 (-.f32 (-.f32 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)
48.2%
(/.f32 (exp.f32 (log.f32 #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))))) (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))))))
94.7%
(/.f32 (exp.f32 (log.f32 #s(literal 1/2 binary32))) (/.f32 (exp.f32 (-.f32 (-.f32 (log.f32 v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
▶99.9%
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
▶6.2%
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
6.3%
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
94.3%
(*.f32 (exp.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
▶43.9%
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
▶98.5%
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 binary32)))) v))
▶99.8%
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
98.5%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓6.4%
#s(literal 1 binary32)
Compiler

Compiled 566 to 332 computations (41.3% saved)

simplify162.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
✓cost-diff0
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓cost-diff0
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓cost-diff3200
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓cost-diff0
(*.f32 cosTheta_O cosTheta_i)
✓cost-diff0
(+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 binary32))))
✓cost-diff0
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 binary32)))) v)
✓cost-diff0
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 binary32)))) v))
✓cost-diff0
(/.f32 sinTheta_O v)
✓cost-diff0
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
✓cost-diff0
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
✓cost-diff0
(*.f32 sinTheta_O sinTheta_i)
✓cost-diff0
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓cost-diff0
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓cost-diff0
(log.f32 v)
✓cost-diff0
(+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
✓cost-diff3200
(exp.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
✓cost-diff3200
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
Rules
1744×fnmadd-define
1704×*-lowering-*.f32
1704×*-lowering-*.f64
1288×sum3-define
1038×fmsub-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
034157
175148
2165147
3281147
4392147
5519146
6700146
7994146
81916146
93450146
105741146
08104146
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1/2 (exp (+ (log v) (+ (/ 1 v) -6931/10000))))
1/2
(exp (+ (log v) (+ (/ 1 v) -6931/10000)))
(+ (log v) (+ (/ 1 v) -6931/10000))
(log v)
v
(+ (/ 1 v) -6931/10000)
(/ 1 v)
1
-6931/10000
(neg (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(- 1 (* sinTheta_i (/ sinTheta_O v)))
1
(* sinTheta_i (/ sinTheta_O v))
sinTheta_i
(/ sinTheta_O v)
sinTheta_O
v
(exp (/ (+ (* cosTheta_O cosTheta_i) (+ -1 (* v 6931/10000))) v))
(/ (+ (* cosTheta_O cosTheta_i) (+ -1 (* v 6931/10000))) v)
(+ (* cosTheta_O cosTheta_i) (+ -1 (* v 6931/10000)))
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(+ -1 (* v 6931/10000))
-1
(* v 6931/10000)
v
6931/10000
(exp (+ (log (/ 1/2 v)) (+ 6931/10000 (/ -1 v))))
(+ (log (/ 1/2 v)) (+ 6931/10000 (/ -1 v)))
(log (/ 1/2 v))
(/ 1/2 v)
1/2
v
(+ 6931/10000 (/ -1 v))
6931/10000
(/ -1 v)
-1
Outputs
(/ 1/2 (exp (+ (log v) (+ (/ 1 v) -6931/10000))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
1/2
#s(literal 1/2 binary32)
(exp (+ (log v) (+ (/ 1 v) -6931/10000)))
(*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(+ (log v) (+ (/ 1 v) -6931/10000))
(+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(log v)
(log.f32 v)
v
(+ (/ 1 v) -6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
-6931/10000
#s(literal -6931/10000 binary32)
(neg (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
v
(- 1 (* sinTheta_i (/ sinTheta_O v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
1
#s(literal 1 binary32)
(* sinTheta_i (/ sinTheta_O v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
sinTheta_i
(/ sinTheta_O v)
(/.f32 sinTheta_O v)
sinTheta_O
v
(exp (/ (+ (* cosTheta_O cosTheta_i) (+ -1 (* v 6931/10000))) v))
(exp.f32 (/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) v))
(/ (+ (* cosTheta_O cosTheta_i) (+ -1 (* v 6931/10000))) v)
(/.f32 (+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32))) v)
(+ (* cosTheta_O cosTheta_i) (+ -1 (* v 6931/10000)))
(+.f32 (*.f32 v #s(literal 6931/10000 binary32)) (+.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1 binary32)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(+ -1 (* v 6931/10000))
(+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 binary32)))
-1
#s(literal -1 binary32)
(* v 6931/10000)
(*.f32 v #s(literal 6931/10000 binary32))
v
6931/10000
#s(literal 6931/10000 binary32)
(exp (+ (log (/ 1/2 v)) (+ 6931/10000 (/ -1 v))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(+ (log (/ 1/2 v)) (+ 6931/10000 (/ -1 v)))
(+.f32 #s(literal 6931/10000 binary32) (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal -1 binary32) v)))
(log (/ 1/2 v))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
v
(+ 6931/10000 (/ -1 v))
(-.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
6931/10000
#s(literal 6931/10000 binary32)
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)

localize197.0ms (1.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
✓accuracy99.9%
(+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓accuracy99.8%
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
✓accuracy99.8%
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
✓accuracy100.0%
(*.f32 cosTheta_O cosTheta_i)
✓accuracy99.9%
(/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 binary32)))) v)
✓accuracy99.8%
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 binary32)))) v))
✓accuracy98.6%
(*.f32 v #s(literal 6931/10000 binary32))
✓accuracy100.0%
(/.f32 sinTheta_O v)
✓accuracy99.9%
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
✓accuracy99.4%
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
✓accuracy100.0%
(*.f32 sinTheta_O sinTheta_i)
✓accuracy100.0%
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
✓accuracy73.8%
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
✓accuracy100.0%
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
✓accuracy99.8%
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
✓accuracy99.8%
(exp.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
✓accuracy99.8%
(+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
Results
126.0ms256×0valid
Compiler

Compiled 172 to 35 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 15.0ms (26.5% of total)
ival-add: 8.0ms (14.1% of total)
ival-mult: 8.0ms (14.1% of total)
ival-log: 8.0ms (14.1% of total)
...c/correct-round.rkt:119:19: 8.0ms (14.1% of total)
ival-exp: 5.0ms (8.8% of total)
ival-sub: 1.0ms (1.8% of total)
const: 1.0ms (1.8% of total)
ival-neg: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series59.0ms (0.4%)

Counts
21 → 456
Calls
Call 1
Inputs
#<alt (/ 1/2 (exp (+ (log v) (+ (/ 1 v) -6931/10000))))>
#<alt (exp (+ (log v) (+ (/ 1 v) -6931/10000)))>
#<alt (+ (log v) (+ (/ 1 v) -6931/10000))>
#<alt (log v)>
#<alt (neg (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (- 1 (* sinTheta_i (/ sinTheta_O v)))>
#<alt (* sinTheta_i (/ sinTheta_O v))>
#<alt (/ sinTheta_O v)>
#<alt (exp (/ (+ (* cosTheta_O cosTheta_i) (+ -1 (* v 6931/10000))) v))>
#<alt (/ (+ (* cosTheta_O cosTheta_i) (+ -1 (* v 6931/10000))) v)>
#<alt (+ (* cosTheta_O cosTheta_i) (+ -1 (* v 6931/10000)))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (exp (+ (log (/ 1/2 v)) (+ 6931/10000 (/ -1 v))))>
#<alt (+ (log (/ 1/2 v)) (+ 6931/10000 (/ -1 v)))>
#<alt (log (/ 1/2 v))>
#<alt (/ 1/2 v)>
#<alt (+ (/ 1 v) -6931/10000)>
#<alt (* v 6931/10000)>
#<alt (+ 6931/10000 (/ -1 v))>
Outputs
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))>
#<alt (/ 1/2 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))>
#<alt (/ 1/2 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))>
#<alt (- (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/2 (/ 1 (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))))>
#<alt (- (+ (/ 1/4 (* (pow v 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (/ 1/2 (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))>
#<alt (- (+ (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/4 (/ 1 (* (pow v 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))) (+ (/ 1/2 (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/12 (/ 1 (* (pow v 3) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))))>
#<alt (/ 1/2 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))>
#<alt (- (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/2 (/ 1 (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))))>
#<alt (+ (* -1 (/ (- (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/4 (/ 1 (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/12 (/ 1 (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))>
#<alt (exp (- (+ (log v) (/ 1 v)) 6931/10000))>
#<alt (exp (- (+ (log v) (/ 1 v)) 6931/10000))>
#<alt (exp (- (+ (log v) (/ 1 v)) 6931/10000))>
#<alt (exp (- (+ (log v) (/ 1 v)) 6931/10000))>
#<alt (exp (- (* -1 (log (/ 1 v))) 6931/10000))>
#<alt (+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (/ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) v))>
#<alt (+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/2 (/ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow v 2))) (/ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) v)))>
#<alt (+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/6 (/ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow v 3))) (+ (* 1/2 (/ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow v 2))) (/ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) v))))>
#<alt (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))>
#<alt (+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (/ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) v))>
#<alt (+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1/2 (/ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) v))) v)))>
#<alt (+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1 (/ (+ (* 1/6 (/ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) v)) (* 1/2 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) v))) v)))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* v (- (log v) 6931/10000))) v)>
#<alt (/ (+ 1 (* v (- (log v) 6931/10000))) v)>
#<alt (/ (+ 1 (* v (- (log v) 6931/10000))) v)>
#<alt (- (* -1 (log (/ 1 v))) 6931/10000)>
#<alt (- (+ (* -1 (log (/ 1 v))) (/ 1 v)) 6931/10000)>
#<alt (- (+ (* -1 (log (/ 1 v))) (/ 1 v)) 6931/10000)>
#<alt (- (+ (* -1 (log (/ 1 v))) (/ 1 v)) 6931/10000)>
#<alt (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)>
#<alt (- (+ (log -1) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)>
#<alt (log v)>
#<alt (log v)>
#<alt (log v)>
#<alt (log v)>
#<alt (* -1 (log (/ 1 v)))>
#<alt (* -1 (log (/ 1 v)))>
#<alt (* -1 (log (/ 1 v)))>
#<alt (* -1 (log (/ 1 v)))>
#<alt (+ (log -1) (* -1 (log (/ -1 v))))>
#<alt (+ (log -1) (* -1 (log (/ -1 v))))>
#<alt (+ (log -1) (* -1 (log (/ -1 v))))>
#<alt (+ (log -1) (* -1 (log (/ -1 v))))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* sinTheta_O sinTheta_i)>
#<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 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (- (/ 1 sinTheta_i) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (/ 1 sinTheta_i) (/ sinTheta_O v)))>
#<alt (* sinTheta_i (- (/ 1 sinTheta_i) (/ sinTheta_O v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ 1 sinTheta_i)))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ 1 sinTheta_i)))>
#<alt (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (/ 1 sinTheta_i)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (- (/ 1 sinTheta_O) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (/ 1 sinTheta_O) (/ sinTheta_i v)))>
#<alt (* sinTheta_O (- (/ 1 sinTheta_O) (/ sinTheta_i v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ 1 sinTheta_O)))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ 1 sinTheta_O)))>
#<alt (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (/ 1 sinTheta_O)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (- v (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- v (* sinTheta_O sinTheta_i)) v)>
#<alt (/ (- v (* sinTheta_O sinTheta_i)) v)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (/ sinTheta_O v)>
#<alt (exp (/ (- (* 6931/10000 v) 1) v))>
#<alt (+ (exp (/ (- (* 6931/10000 v) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* 6931/10000 v) 1) v)))) v))>
#<alt (+ (exp (/ (- (* 6931/10000 v) 1) v)) (* cosTheta_O (+ (* 1/2 (/ (* cosTheta_O (* (pow cosTheta_i 2) (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 2))) (/ (* cosTheta_i (exp (/ (- (* 6931/10000 v) 1) v))) v))))>
#<alt (+ (exp (/ (- (* 6931/10000 v) 1) v)) (* cosTheta_O (+ (* cosTheta_O (+ (* 1/6 (/ (* cosTheta_O (* (pow cosTheta_i 3) (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_i 2) (exp (/ (- (* 6931/10000 v) 1) v))) (pow v 2))))) (/ (* cosTheta_i (exp (/ (- (* 6931/10000 v) 1) v))) v))))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (* 6931/10000 v) 1) v))>
#<alt (+ (exp (/ (- (* 6931/10000 v) 1) v)) (/ (* cosTheta_O (* cosTheta_i (exp (/ (- (* 6931/10000 v) 1) v)))) v))>
#<alt (+ (exp (/ (- (* 6931/10000 v) 1) v)) (* cosTheta_i (+ (* 1/2 (/ (* (pow cosTheta_O 2) (* cosTheta_i (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 2))) (/ (* cosTheta_O (exp (/ (- (* 6931/10000 v) 1) v))) v))))>
#<alt (+ (exp (/ (- (* 6931/10000 v) 1) v)) (* cosTheta_i (+ (* cosTheta_i (+ (* 1/6 (/ (* (pow cosTheta_O 3) (* cosTheta_i (exp (/ (- (* 6931/10000 v) 1) v)))) (pow v 3))) (* 1/2 (/ (* (pow cosTheta_O 2) (exp (/ (- (* 6931/10000 v) 1) v))) (pow v 2))))) (/ (* cosTheta_O (exp (/ (- (* 6931/10000 v) 1) v))) v))))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))>
#<alt (+ (exp 6931/10000) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v)))>
#<alt (+ (exp 6931/10000) (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) (pow v 3))) (+ (* 1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) (pow v 2))) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))))>
#<alt (exp 6931/10000)>
#<alt (+ (exp 6931/10000) (/ (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1)) v))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1))) (* -1/2 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)) v))) v)))>
#<alt (+ (exp 6931/10000) (* -1 (/ (+ (* -1 (* (exp 6931/10000) (- (* cosTheta_O cosTheta_i) 1))) (* -1 (/ (+ (* 1/6 (/ (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 3)) v)) (* 1/2 (* (exp 6931/10000) (pow (- (* cosTheta_O cosTheta_i) 1) 2)))) v))) v)))>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))>
#<alt (* cosTheta_O (- (+ (* 6931/10000 (/ 1 cosTheta_O)) (/ cosTheta_i v)) (/ 1 (* cosTheta_O v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_O)))))>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))>
#<alt (* cosTheta_i (- (+ (* 6931/10000 (/ 1 cosTheta_i)) (/ cosTheta_O v)) (/ 1 (* cosTheta_i v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (* -1 (/ (- 6931/10000 (/ 1 v)) cosTheta_i)))))>
#<alt (/ (- (* cosTheta_O cosTheta_i) 1) v)>
#<alt (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)>
#<alt (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)>
#<alt (/ (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1) v)>
#<alt 6931/10000>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt 6931/10000>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v))>
#<alt (- (* 6931/10000 v) 1)>
#<alt (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O (- (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))) (/ 1 cosTheta_O)))>
#<alt (* cosTheta_O (- (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))) (/ 1 cosTheta_O)))>
#<alt (* cosTheta_O (- (+ cosTheta_i (* 6931/10000 (/ v cosTheta_O))) (/ 1 cosTheta_O)))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* 6931/10000 v) 1) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* 6931/10000 v) 1) cosTheta_O)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (* -1 (/ (- (* 6931/10000 v) 1) cosTheta_O)))))>
#<alt (- (* 6931/10000 v) 1)>
#<alt (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_i (- (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))) (/ 1 cosTheta_i)))>
#<alt (* cosTheta_i (- (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))) (/ 1 cosTheta_i)))>
#<alt (* cosTheta_i (- (+ cosTheta_O (* 6931/10000 (/ v cosTheta_i))) (/ 1 cosTheta_i)))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* 6931/10000 v) 1) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* 6931/10000 v) 1) cosTheta_i)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (* -1 (/ (- (* 6931/10000 v) 1) cosTheta_i)))))>
#<alt (- (* cosTheta_O cosTheta_i) 1)>
#<alt (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)>
#<alt (- (+ (* 6931/10000 v) (* cosTheta_O cosTheta_i)) 1)>
#<alt (* 6931/10000 v)>
#<alt (* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))>
#<alt (* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))>
#<alt (* v (- (+ 6931/10000 (/ (* cosTheta_O cosTheta_i) v)) (/ 1 v)))>
#<alt (* 6931/10000 v)>
#<alt (* -1 (* v (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) v)) 6931/10000)))>
#<alt (* -1 (* v (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) v)) 6931/10000)))>
#<alt (* -1 (* v (- (* -1 (/ (- (* cosTheta_O cosTheta_i) 1) v)) 6931/10000)))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))>
#<alt (exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 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))))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) v)) (* 1/2 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow v 2)))))>
#<alt (+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) v)) (+ (* -1/6 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow v 3))) (* 1/2 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow v 2))))))>
#<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))))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1/2 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v))) v)))>
#<alt (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/6 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v)) (* 1/2 (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))) v))) v)))>
#<alt (/ -1 v)>
#<alt (/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) 1) v)>
#<alt (/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) 1) v)>
#<alt (/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) 1) v)>
#<alt (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) (/ 1 v))>
#<alt (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))>
#<alt (- (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) (/ 1 v))>
#<alt (- (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) (/ 1 v))>
#<alt (+ (log 1/2) (* -1 (log v)))>
#<alt (+ (log 1/2) (* -1 (log v)))>
#<alt (+ (log 1/2) (* -1 (log v)))>
#<alt (+ (log 1/2) (* -1 (log v)))>
#<alt (+ (log 1/2) (log (/ 1 v)))>
#<alt (+ (log 1/2) (log (/ 1 v)))>
#<alt (+ (log 1/2) (log (/ 1 v)))>
#<alt (+ (log 1/2) (log (/ 1 v)))>
#<alt (+ (log -1/2) (log (/ -1 v)))>
#<alt (+ (log -1/2) (log (/ -1 v)))>
#<alt (+ (log -1/2) (log (/ -1 v)))>
#<alt (+ (log -1/2) (log (/ -1 v)))>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* -6931/10000 v)) v)>
#<alt (/ (+ 1 (* -6931/10000 v)) v)>
#<alt (/ (+ 1 (* -6931/10000 v)) v)>
#<alt -6931/10000>
#<alt (- (/ 1 v) 6931/10000)>
#<alt (- (/ 1 v) 6931/10000)>
#<alt (- (/ 1 v) 6931/10000)>
#<alt -6931/10000>
#<alt (- (/ 1 v) 6931/10000)>
#<alt (- (/ 1 v) 6931/10000)>
#<alt (- (/ 1 v) 6931/10000)>
#<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 v)>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt (/ (- (* 6931/10000 v) 1) v)>
#<alt 6931/10000>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt 6931/10000>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
#<alt (- 6931/10000 (/ 1 v))>
Calls

114 calls:

TimeVariablePointExpression
17.0ms
v
@-inf
(log v)
9.0ms
v
@0
(log v)
4.0ms
v
@inf
(log v)
1.0ms
v
@inf
(/ 1/2 (exp (+ (log v) (+ (/ 1 v) -6931/10000))))
1.0ms
v
@-inf
(exp (/ (+ (* cosTheta_O cosTheta_i) (+ -1 (* v 6931/10000))) v))

rewrite502.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
4066×*-lowering-*.f32
4066×*-lowering-*.f64
3138×/-lowering-/.f32
3138×/-lowering-/.f64
2228×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034128
1203120
21756119
08768119
Stop Event
1×iter limit
1×node limit
Counts
21 → 454
Calls
Call 1
Inputs
(/ 1/2 (exp (+ (log v) (+ (/ 1 v) -6931/10000))))
(exp (+ (log v) (+ (/ 1 v) -6931/10000)))
(+ (log v) (+ (/ 1 v) -6931/10000))
(log v)
(neg (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(* sinTheta_O sinTheta_i)
(- 1 (* sinTheta_i (/ sinTheta_O v)))
(* sinTheta_i (/ sinTheta_O v))
(/ sinTheta_O v)
(exp (/ (+ (* cosTheta_O cosTheta_i) (+ -1 (* v 6931/10000))) v))
(/ (+ (* cosTheta_O cosTheta_i) (+ -1 (* v 6931/10000))) v)
(+ (* cosTheta_O cosTheta_i) (+ -1 (* v 6931/10000)))
(* cosTheta_O cosTheta_i)
(exp (+ (log (/ 1/2 v)) (+ 6931/10000 (/ -1 v))))
(+ (log (/ 1/2 v)) (+ 6931/10000 (/ -1 v)))
(log (/ 1/2 v))
(/ 1/2 v)
(+ (/ 1 v) -6931/10000)
(* v 6931/10000)
(+ 6931/10000 (/ -1 v))
Outputs
(neg.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) #s(literal 1/2 binary32))) #s(literal -1 binary32)))
(exp.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(pow.f32 (/.f32 (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) #s(literal 1/2 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) #s(literal 1/2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (*.f32 (neg.f32 v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) #s(literal 1/2 binary32))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) #s(literal 1/2 binary32)) #s(literal -1 binary32)))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))) #s(literal 1/2 binary32))
(exp.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(pow.f32 (exp.f32 (+.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (log.f32 v))))))
(pow.f32 (exp.f32 (-.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (-.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))) (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) (-.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))))
(*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(*.f32 (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))) v)
(*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (+.f32 #s(literal -6931/10000 binary32) (log.f32 v))))
(*.f32 (exp.f32 #s(literal -6931/10000 binary32)) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 #s(literal -6931/10000 binary32)))
(*.f32 (exp.f32 (+.f32 (log.f32 v) #s(literal -6931/10000 binary32))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal -6931/10000 binary32) (log.f32 v)))
(+.f32 #s(literal -6931/10000 binary32) (+.f32 (log.f32 v) (/.f32 #s(literal 1 binary32) v)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)) (log.f32 v))
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(/.f32 (+.f32 (*.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)) v) (*.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32))) (*.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) v))
(/.f32 (+.f32 (*.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)) (neg.f32 (neg.f32 v))) (*.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32))) (*.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) (neg.f32 (neg.f32 v))))
(/.f32 (+.f32 (*.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) #s(literal 332956652491/1000000000000 binary32)) (neg.f32 (/.f32 v #s(literal -1 binary32)))) (*.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) #s(literal -1 binary32))) (*.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (-.f32 #s(literal 48038761/100000000 binary32) (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)))) (neg.f32 (/.f32 v #s(literal -1 binary32)))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)) (neg.f32 v)) (*.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (neg.f32 v)))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 v #s(literal -1 binary32))) (*.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 v #s(literal -1 binary32))))
(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)) (/.f32 (/.f32 v #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (/.f32 (/.f32 v #s(literal -1 binary32)) #s(literal 1 binary32))))
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(/.f32 (+.f32 (*.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) #s(literal 48038761/100000000 binary32)) (neg.f32 (neg.f32 v))) (*.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 6931/10000 binary32)) (neg.f32 (neg.f32 v))))
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(/.f32 (-.f32 (*.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (*.f32 (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 3 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))))))
(*.f32 (-.f32 (pow.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) (-.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(neg.f32 (log.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 #s(literal 0 binary32) (log.f32 v)))
(+.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(+.f32 (-.f32 #s(literal 0 binary32) (log.f32 v)) (log.f32 #s(literal 1/2 binary32)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (neg.f32 (neg.f32 v))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(-.f32 (log.f32 #s(literal -1/2 binary32)) (log.f32 (neg.f32 v)))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (/.f32 v #s(literal 1/2 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 v) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))))
(/.f32 (-.f32 (pow.f32 (log.f32 #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (log.f32 v) #s(literal 2 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) v)))
(*.f32 #s(literal -1 binary32) (log.f32 (/.f32 v #s(literal 1/2 binary32))))
(log.f32 (/.f32 #s(literal 1/2 binary32) v))
(neg.f32 (/.f32 #s(literal -1/2 binary32) v))
(exp.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)))
(exp.f32 (*.f32 (log.f32 (/.f32 v #s(literal 1/2 binary32))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v #s(literal 1/2 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 v #s(literal 1/2 binary32)) #s(literal 1 binary32)) #s(literal -1 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) (/.f32 (/.f32 v #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 v #s(literal 1/2 binary32))))
(/.f32 #s(literal -1/2 binary32) (neg.f32 v))
(/.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 binary32) v) #s(literal 1/2 binary32))
(*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(+.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))) #s(literal -332956652491/1000000000000 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal -48038761/100000000 binary32))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32) #s(literal -6931/10000 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v) #s(literal -6931/10000 binary32))
(fma.f32 (pow.f32 v #s(literal -1/2 binary32)) (pow.f32 v #s(literal -1/2 binary32)) #s(literal -6931/10000 binary32))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))) #s(literal -332956652491/1000000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal -48038761/100000000 binary32))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))) #s(literal -332956652491/1000000000000 binary32)) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) v)))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))) #s(literal -332956652491/1000000000000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v))) (-.f32 #s(literal -6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal -48038761/100000000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))) #s(literal -332956652491/1000000000000 binary32))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v)))))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal -48038761/100000000 binary32))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) #s(literal 48038761/100000000 binary32))) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))) #s(literal -332956652491/1000000000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v)))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal -48038761/100000000 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))))
(*.f32 v #s(literal 6931/10000 binary32))
(*.f32 #s(literal 6931/10000 binary32) v)
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) v)) (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32) #s(literal 6931/10000 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32))
(-.f32 (/.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) v)) (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v)))) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) v)))
(/.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal -6931/10000 binary32) v))))
(/.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal -48038761/100000000 binary32)) (-.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6931/10000 binary32)))
(/.f32 (neg.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))))) (neg.f32 (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) v))))
(/.f32 (neg.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) (neg.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 (*.f32 #s(literal 48038761/100000000 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) (*.f32 v v)))) (*.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (+.f32 #s(literal 332956652491/1000000000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 48038761/100000000 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 6931/10000 binary32)) v))))
(*.f32 (-.f32 #s(literal 48038761/100000000 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal 1 binary32) v))))

simplify305.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
4618×*-lowering-*.f32
4618×*-lowering-*.f64
2858×+-lowering-+.f64
2858×+-lowering-+.f32
2138×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03363717
110373357
232343149
088133149
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))
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6931/10000
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6931/10000
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(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (* -1 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) v)))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) v)) (* 1/2 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow v 2)))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) v)) (+ (* -1/6 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow v 3))) (* 1/2 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow v 2))))))
(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))))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1/2 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v))) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/6 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v)) (* 1/2 (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))) v))) v)))
(/ -1 v)
(/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) 1) v)
(/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) 1) v)
(/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) 1) v)
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
(- (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) (/ 1 v))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(- (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) (/ 1 v))
(- (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) (/ 1 v))
(+ (log 1/2) (* -1 (log v)))
(+ (log 1/2) (* -1 (log v)))
(+ (log 1/2) (* -1 (log v)))
(+ (log 1/2) (* -1 (log v)))
(+ (log 1/2) (log (/ 1 v)))
(+ (log 1/2) (log (/ 1 v)))
(+ (log 1/2) (log (/ 1 v)))
(+ (log 1/2) (log (/ 1 v)))
(+ (log -1/2) (log (/ -1 v)))
(+ (log -1/2) (log (/ -1 v)))
(+ (log -1/2) (log (/ -1 v)))
(+ (log -1/2) (log (/ -1 v)))
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1 v)
(/ (+ 1 (* -6931/10000 v)) v)
(/ (+ 1 (* -6931/10000 v)) v)
(/ (+ 1 (* -6931/10000 v)) v)
-6931/10000
(- (/ 1 v) 6931/10000)
(- (/ 1 v) 6931/10000)
(- (/ 1 v) 6931/10000)
-6931/10000
(- (/ 1 v) 6931/10000)
(- (/ 1 v) 6931/10000)
(- (/ 1 v) 6931/10000)
(* 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 v)
(/ (- (* 6931/10000 v) 1) v)
(/ (- (* 6931/10000 v) 1) v)
(/ (- (* 6931/10000 v) 1) v)
6931/10000
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
6931/10000
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
(- 6931/10000 (/ 1 v))
Outputs
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/ 1/2 (exp (- (+ (log v) (/ 1 v)) 6931/10000)))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/ 1/2 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))))
(- (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/2 (/ 1 (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000))))))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)))
(- (+ (/ 1/4 (* (pow v 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000))))) (/ 1/2 (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))
(+.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 v v)) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v))))
(- (+ (* 1/2 (/ 1 (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/4 (/ 1 (* (pow v 2) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))) (+ (/ 1/2 (* v (exp (- (* -1 (log (/ 1 v))) 6931/10000)))) (* 1/12 (/ 1 (* (pow v 3) (exp (- (* -1 (log (/ 1 v))) 6931/10000)))))))
(+.f32 (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 v v)) v))) (+.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 (*.f32 v (*.f32 v v)) v) (exp.f32 #s(literal 6931/10000 binary32))))))
(/ 1/2 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v)))
(- (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/2 (/ 1 (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))))
(*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v))) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) v)))
(+ (* -1 (/ (- (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/4 (/ 1 (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))
(-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v))) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/4 binary32) v))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) (* 1/12 (/ 1 (* v (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))))) v)) (* 1/2 (/ 1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))))
(-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v))) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v))) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/12 binary32) v)))) v))
(exp (- (+ (log v) (/ 1 v)) 6931/10000))
(*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp (- (+ (log v) (/ 1 v)) 6931/10000))
(*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp (- (+ (log v) (/ 1 v)) 6931/10000))
(*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp (- (+ (log v) (/ 1 v)) 6931/10000))
(*.f32 v (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp (- (* -1 (log (/ 1 v))) 6931/10000))
(/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (/ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) v))
(+.f32 (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))) v))
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/2 (/ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow v 2))) (/ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) v)))
(+.f32 (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal 1 binary32)) (/.f32 (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))) v)))
(+ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (+ (* 1/6 (/ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow v 3))) (+ (* 1/2 (/ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) (pow v 2))) (/ (exp (- (* -1 (log (/ 1 v))) 6931/10000)) v))))
(+.f32 (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))) (+.f32 (/.f32 (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))) v) (*.f32 (*.f32 #s(literal 1 binary32) (/.f32 (exp.f32 #s(literal -6931/10000 binary32)) v)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)))))
(exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))
(/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))
(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (/ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) v))
(+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v)) (*.f32 v (exp.f32 #s(literal 6931/10000 binary32)))))
(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1/2 (/ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) v))) v)))
(-.f32 (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32)))) v))
(+ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) (* -1 (/ (+ (* -1 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000))) (* -1 (/ (+ (* 1/6 (/ (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)) v)) (* 1/2 (exp (- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)))) v))) v)))
(+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v)) (exp.f32 #s(literal 6931/10000 binary32))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) v))) (exp.f32 #s(literal 6931/10000 binary32)))) v)) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* v (- (log v) 6931/10000))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) v)
(/ (+ 1 (* v (- (log v) 6931/10000))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) v)
(/ (+ 1 (* v (- (log v) 6931/10000))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (log.f32 v) #s(literal -6931/10000 binary32)))) v)
(- (* -1 (log (/ 1 v))) 6931/10000)
(+.f32 (log.f32 v) #s(literal -6931/10000 binary32))
(- (+ (* -1 (log (/ 1 v))) (/ 1 v)) 6931/10000)
(+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(- (+ (* -1 (log (/ 1 v))) (/ 1 v)) 6931/10000)
(+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(- (+ (* -1 (log (/ 1 v))) (/ 1 v)) 6931/10000)
(+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))
(- (+ (log -1) (* -1 (log (/ -1 v)))) 6931/10000)
(-.f32 (+.f32 #s(literal -6931/10000 binary32) (log.f32 #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (+.f32 #s(literal -6931/10000 binary32) (log.f32 #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (+.f32 #s(literal -6931/10000 binary32) (log.f32 #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(- (+ (log -1) (+ (* -1 (log (/ -1 v))) (/ 1 v))) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (+.f32 #s(literal -6931/10000 binary32) (log.f32 #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) v))))
(log v)
(log.f32 v)
(log v)
(log.f32 v)
(log v)
(log.f32 v)
(log v)
(log.f32 v)
(* -1 (log (/ 1 v)))
(log.f32 v)
(* -1 (log (/ 1 v)))
(log.f32 v)
(* -1 (log (/ 1 v)))
(log.f32 v)
(* -1 (log (/ 1 v)))
(log.f32 v)
(+ (log -1) (* -1 (log (/ -1 v))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (log -1) (* -1 (log (/ -1 v))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (log -1) (* -1 (log (/ -1 v))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(+ (log -1) (* -1 (log (/ -1 v))))
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (- (+ 6931/10000 (log (/ 1/2 v))) (/ 1 v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (* -1 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) v)))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v)))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) v)) (* 1/2 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow v 2)))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) v))))
(+ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (+ (* -1 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) v)) (+ (* -1/6 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow v 3))) (* 1/2 (/ (exp (+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))) (pow v 2))))))
(+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v (exp.f32 #s(literal 6931/10000 binary32)))) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/6 binary32) v))) (*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) v))))
(exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))))
(*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v)))
(*.f32 (exp.f32 #s(literal 6931/10000 binary32)) (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)) v)))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1/2 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v))) v)))
(-.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) v)) v))
(+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) (* -1 (/ (+ (* -1/6 (/ (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))) v)) (* 1/2 (exp (+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))))) v))) v)))
(-.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 #s(literal -1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32)))) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v))) v) (*.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) v)))) v)) v))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) 1) v)
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) 1) v)
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(/ (- (* v (+ 6931/10000 (+ (log 1/2) (* -1 (log v))))) 1) v)
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(+ 6931/10000 (+ (log 1/2) (log (/ 1 v))))
(+.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 #s(literal 6931/10000 binary32) (log.f32 v)))
(- (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) (/ 1 v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(- (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) (/ 1 v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(- (+ 6931/10000 (+ (log 1/2) (log (/ 1 v)))) (/ 1 v))
(+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v)))
(+ 6931/10000 (+ (log -1/2) (log (/ -1 v))))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (log.f32 #s(literal -1/2 binary32))))
(- (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) (/ 1 v))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(- (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) (/ 1 v))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(- (+ 6931/10000 (+ (log -1/2) (log (/ -1 v)))) (/ 1 v))
(+.f32 (log.f32 #s(literal -1/2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(+ (log 1/2) (* -1 (log v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+ (log 1/2) (* -1 (log v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+ (log 1/2) (* -1 (log v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+ (log 1/2) (* -1 (log v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+ (log 1/2) (log (/ 1 v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+ (log 1/2) (log (/ 1 v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+ (log 1/2) (log (/ 1 v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+ (log 1/2) (log (/ 1 v)))
(-.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 v))
(+ (log -1/2) (log (/ -1 v)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (log (/ -1 v)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (log (/ -1 v)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal -1/2 binary32)))
(+ (log -1/2) (log (/ -1 v)))
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal -1/2 binary32)))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* -6931/10000 v)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v #s(literal -6931/10000 binary32))) v)
(/ (+ 1 (* -6931/10000 v)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v #s(literal -6931/10000 binary32))) v)
(/ (+ 1 (* -6931/10000 v)) v)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 v #s(literal -6931/10000 binary32))) v)
-6931/10000
#s(literal -6931/10000 binary32)
(- (/ 1 v) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(- (/ 1 v) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(- (/ 1 v) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
-6931/10000
#s(literal -6931/10000 binary32)
(- (/ 1 v) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(- (/ 1 v) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(- (/ 1 v) 6931/10000)
(+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
(* 6931/10000 v)
(*.f32 v #s(literal 6931/10000 binary32))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
(/ (- (* 6931/10000 v) 1) v)
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(/ (- (* 6931/10000 v) 1) v)
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(/ (- (* 6931/10000 v) 1) v)
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
6931/10000
#s(literal 6931/10000 binary32)
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
6931/10000
#s(literal 6931/10000 binary32)
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))
(- 6931/10000 (/ 1 v))
(+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))

eval74.0ms (0.5%)

Compiler

Compiled 14914 to 1791 computations (88% saved)

prune124.0ms (0.9%)

Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New89614910
Fresh336
Picked235
Done011
Total90121922
Accuracy
99.9%
Counts
922 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
44.6%
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))) (+.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
14.0%
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 0 binary32) (+.f32 (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
6.1%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 #s(literal 1 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
23.1%
(/.f32 (neg.f32 sinTheta_i) (/.f32 v sinTheta_O))
99.9%
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))) v)
48.2%
(/.f32 (exp.f32 (log.f32 #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))))) (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))))))
6.1%
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 #s(literal 1 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))))))
✓99.9%
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
44.2%
(/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
✓6.2%
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
6.3%
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
23.1%
(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
43.9%
(*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1 binary32) v))
23.1%
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
✓43.9%
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
23.1%
(neg.f32 (*.f32 sinTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) sinTheta_i)))
98.5%
(exp.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v))
98.5%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
98.5%
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
✓6.4%
#s(literal 1 binary32)
Compiler

Compiled 1071 to 407 computations (62% saved)

regimes141.0ms (1%)

Counts
40 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
(/.f32 (neg.f32 sinTheta_i) (/.f32 v sinTheta_O))
(*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
(neg.f32 (*.f32 sinTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) sinTheta_i)))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))) (+.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 #s(literal 1 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 #s(literal 1 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 0 binary32) (+.f32 (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v))
(exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 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 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v #s(literal 2 binary32)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))) v)
(exp.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 6931/10000 binary32)))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
(*.f32 (exp.f32 (-.f32 (log.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 (exp.f32 (log.f32 #s(literal 1/2 binary32))) (exp.f32 (-.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))
(/.f32 (exp.f32 (log.f32 #s(literal 1/2 binary32))) (/.f32 (exp.f32 (-.f32 (-.f32 (log.f32 v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(literal 6931/10000 binary32))) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (exp.f32 (log.f32 #s(literal 1/2 binary32))) (/.f32 (exp.f32 (/.f32 (pow.f32 (log.f32 v) #s(literal 3 binary32)) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))))))) (exp.f32 (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))) (+.f32 (pow.f32 (log.f32 v) #s(literal 2 binary32)) (*.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))) (+.f32 (log.f32 v) (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))))))))
Outputs
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))) v)
Calls

9 calls:

36.0ms
(*.f32 sinTheta_i sinTheta_O)
19.0ms
v
17.0ms
(+.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))))
13.0ms
sinTheta_i
13.0ms
cosTheta_i
Results
AccuracySegmentsBranch
99.9%1cosTheta_i
99.9%1cosTheta_O
99.9%1sinTheta_i
99.9%1sinTheta_O
99.9%1v
99.9%1(exp.f32 (+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v)))))
99.9%1(+.f32 (+.f32 (-.f32 (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 6931/10000 binary32)) (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) v))))
99.9%1(*.f32 cosTheta_i cosTheta_O)
99.9%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 105 to 78 computations (25.7% saved)

regimes63.0ms (0.5%)

Counts
32 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
(/.f32 (neg.f32 sinTheta_i) (/.f32 v sinTheta_O))
(*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
(neg.f32 (*.f32 sinTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) sinTheta_i)))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))) (+.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 #s(literal 1 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 #s(literal 1 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 0 binary32) (+.f32 (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v))
(exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 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 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v #s(literal 2 binary32)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
Outputs
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
Calls

6 calls:

13.0ms
sinTheta_O
11.0ms
cosTheta_O
10.0ms
(*.f32 sinTheta_i sinTheta_O)
9.0ms
cosTheta_i
9.0ms
sinTheta_i
Results
AccuracySegmentsBranch
99.9%1cosTheta_i
99.9%1cosTheta_O
99.9%1sinTheta_i
99.9%1sinTheta_O
99.9%1v
99.9%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes71.0ms (0.5%)

Counts
31 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
(/.f32 (neg.f32 sinTheta_i) (/.f32 v sinTheta_O))
(*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
(neg.f32 (*.f32 sinTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) sinTheta_i)))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))) (+.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 #s(literal 1 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 #s(literal 1 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 0 binary32) (+.f32 (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v))
(exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 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 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v #s(literal 2 binary32)))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
Outputs
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
Calls

6 calls:

21.0ms
cosTheta_i
11.0ms
sinTheta_i
10.0ms
(*.f32 sinTheta_i sinTheta_O)
9.0ms
v
9.0ms
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(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes76.0ms (0.6%)

Counts
30 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
(/.f32 (neg.f32 sinTheta_i) (/.f32 v sinTheta_O))
(*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
(neg.f32 (*.f32 sinTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) sinTheta_i)))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))) (+.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 #s(literal 1 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 #s(literal 1 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 0 binary32) (+.f32 (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v))
(exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp.f32 (+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (/.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 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 #s(literal 6931/10000 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (exp.f32 (+.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))) (*.f32 v #s(literal 2 binary32)))
Outputs
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
Calls

6 calls:

27.0ms
v
13.0ms
cosTheta_O
8.0ms
cosTheta_i
8.0ms
sinTheta_O
8.0ms
sinTheta_i
Results
AccuracySegmentsBranch
99.8%1cosTheta_i
99.8%1cosTheta_O
99.8%1sinTheta_i
99.8%1sinTheta_O
99.8%1v
99.8%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes46.0ms (0.3%)

Counts
24 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
(/.f32 (neg.f32 sinTheta_i) (/.f32 v sinTheta_O))
(*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
(neg.f32 (*.f32 sinTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) sinTheta_i)))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))) (+.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 #s(literal 1 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 #s(literal 1 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 0 binary32) (+.f32 (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (exp.f32 #s(literal 6931/10000 binary32))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v))
(exp.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
Outputs
(exp.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v))
Calls

5 calls:

13.0ms
v
8.0ms
sinTheta_i
7.0ms
sinTheta_O
7.0ms
cosTheta_i
7.0ms
cosTheta_O
Results
AccuracySegmentsBranch
98.5%1cosTheta_i
98.5%1cosTheta_O
98.5%1sinTheta_i
98.5%1sinTheta_O
98.5%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes41.0ms (0.3%)

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

5 calls:

12.0ms
cosTheta_i
8.0ms
sinTheta_i
6.0ms
sinTheta_O
6.0ms
cosTheta_O
6.0ms
v
Results
AccuracySegmentsBranch
98.5%1cosTheta_i
98.5%1cosTheta_O
98.5%1sinTheta_i
98.5%1sinTheta_O
98.5%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes29.0ms (0.2%)

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

5 calls:

6.0ms
cosTheta_O
5.0ms
v
5.0ms
sinTheta_O
5.0ms
cosTheta_i
5.0ms
sinTheta_i
Results
AccuracySegmentsBranch
98.5%1cosTheta_i
98.5%1cosTheta_O
98.5%1sinTheta_i
98.5%1sinTheta_O
98.5%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes27.0ms (0.2%)

Counts
15 → 2
Calls
Call 1
Inputs
#s(literal 1 binary32)
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
(/.f32 (neg.f32 sinTheta_i) (/.f32 v sinTheta_O))
(*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
(neg.f32 (*.f32 sinTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) sinTheta_i)))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))) (+.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 #s(literal 1 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (+.f32 #s(literal 1 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))) (+.f32 #s(literal 0 binary32) (+.f32 (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
Outputs
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))) (+.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
Calls

5 calls:

6.0ms
cosTheta_i
6.0ms
sinTheta_O
5.0ms
cosTheta_O
5.0ms
sinTheta_i
5.0ms
v
Results
AccuracySegmentsBranch
44.6%1v
44.6%1cosTheta_i
44.6%1cosTheta_O
49.1%2sinTheta_i
48.8%2sinTheta_O
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes24.0ms (0.2%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
(/.f32 (neg.f32 sinTheta_i) (/.f32 v sinTheta_O))
(*.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 #s(literal -1 binary32) v))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
(neg.f32 (*.f32 sinTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) sinTheta_i)))
Outputs
(/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
Calls

5 calls:

6.0ms
sinTheta_O
4.0ms
cosTheta_i
4.0ms
v
4.0ms
sinTheta_i
4.0ms
cosTheta_O
Results
AccuracySegmentsBranch
44.2%1cosTheta_O
44.2%1v
44.2%1cosTheta_i
44.2%1sinTheta_O
44.2%1sinTheta_i
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes17.0ms (0.1%)

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

5 calls:

4.0ms
sinTheta_O
3.0ms
v
3.0ms
cosTheta_i
3.0ms
cosTheta_O
3.0ms
sinTheta_i
Results
AccuracySegmentsBranch
43.9%1sinTheta_O
43.9%1sinTheta_i
43.9%1cosTheta_i
43.9%1cosTheta_O
43.9%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes6.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
sinTheta_i
1.0ms
cosTheta_i
1.0ms
cosTheta_O
1.0ms
v
1.0ms
sinTheta_O
Results
AccuracySegmentsBranch
6.4%1sinTheta_O
6.4%1sinTheta_i
6.4%1cosTheta_O
6.4%1cosTheta_i
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
-3.9800178370062247e-22
-4.285253049240839e-23
Compiler

Compiled 38 to 28 computations (26.3% saved)

simplify12.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
32×+-commutative_binary32
26×*-commutative_binary32
22×neg-mul-1_binary32
22×sub-neg_binary32
20×neg-sub0_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047104
168104
288104
3113104
4133104
5143104
6144104
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))) v)
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(if (<=.f32 sinTheta_i #s(literal -15845633/79228162514264337593543950336 binary32)) (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))) (+.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
#s(literal 1 binary32)
Outputs
(/.f32 (exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 #s(literal 1/2 binary32)))) v)
(/.f32 #s(literal 1/2 binary32) (exp.f32 (+.f32 (log.f32 v) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32)))))
(exp.f32 (+.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v))))
(exp.f32 (+.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)) (log.f32 (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -6931/10000 binary32))))
(exp.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 v #s(literal 6931/10000 binary32))) v))
(exp.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 #s(literal 6931/10000 binary32) v)) v))
(exp.f32 (+.f32 #s(literal 6931/10000 binary32) (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(if (<=.f32 sinTheta_i #s(literal -15845633/79228162514264337593543950336 binary32)) (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))) (+.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i))))
(if (<=.f32 sinTheta_i #s(literal -15845633/79228162514264337593543950336 binary32)) (/.f32 (/.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 v (*.f32 sinTheta_i sinTheta_O))) (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_O sinTheta_i)))
(/.f32 #s(literal -1 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
#s(literal 1 binary32)

soundness2.3s (17.1%)

Rules
6300×*-lowering-*.f32
6300×*-lowering-*.f64
5126×*-lowering-*.f32
5126×*-lowering-*.f64
4978×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032127
1183123
21711123
08636123
034128
1203120
21756119
08768119
05969417
120098392
277668383
083668383
05014879
116994237
264844201
081954201
05486040
118095418
266545330
082255330
03363717
110373357
232343149
088133149
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 698 to 515 computations (26.2% saved)

preprocess60.0ms (0.4%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

Compiler

Compiled 602 to 418 computations (30.6% saved)

end0.0ms (0%)

Profiling

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