HairBSDF, Mp, upper

Time bar (total: 21.5s)

analyze1.3s (5.8%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
0%0%0%100%0%0%0%7
0%0%0%100%0%0%0%8
0%0%0%100%0%0%0%9
0%0%0%100%0%0%0%10
50%0%0%100%0%0%0%11
50%0%0%100%0%0%0%12
Compiler

Compiled 66 to 41 computations (37.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 601.0ms
...c/correct-round.rkt:119:19: 160.0ms (26.6% of total)
ival-<=: 130.0ms (21.6% of total)
ival-mult: 99.0ms (16.5% of total)
ival-div: 90.0ms (15% of total)
ival-and: 31.0ms (5.2% of total)
ival-sinh: 30.0ms (5% of total)
ival-exp: 27.0ms (4.5% of total)
ival-neg: 17.0ms (2.8% of total)
ival-<: 11.0ms (1.8% of total)
const: 6.0ms (1% of total)
backward-pass: 1.0ms (0.2% of total)

sample2.8s (13.1%)

Results
2.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-div: 419.0ms (23.9% of total)
ival-mult: 350.0ms (19.9% of total)
...c/correct-round.rkt:119:19: 309.0ms (17.6% of total)
ival-<=: 262.0ms (14.9% of total)
ival-sinh: 129.0ms (7.3% of total)
ival-exp: 103.0ms (5.9% of total)
ival-and: 89.0ms (5.1% of total)
ival-neg: 45.0ms (2.6% of total)
ival-<: 29.0ms (1.7% of total)
const: 17.0ms (1% of total)
backward-pass: 4.0ms (0.2% of total)
Bogosity

preprocess362.0ms (1.7%)

Algorithm
2×egg-herbie
Rules
5522×*-lowering-*.f32
5522×*-lowering-*.f64
1920×/-lowering-/.f32
1920×/-lowering-/.f64
1420×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0141458
1545440
22099401
01921
15621
218719
377519
4308319
5383019
6590719
0912819
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
Outputs
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
Call 2
Inputs
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* (neg cosTheta_i) cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i (neg cosTheta_O)) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* (neg sinTheta_i) sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i (neg sinTheta_O)) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) (neg v)))) (/ (* cosTheta_i cosTheta_O) (neg v))) (* (* (sinh (/ 1 (neg v))) 2) (neg v)))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* (neg cosTheta_i) cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i (neg cosTheta_O)) v)) (* (* (sinh (/ 1 v)) 2) v)))
(neg (/ (* (exp (neg (/ (* (neg sinTheta_i) sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(neg (/ (* (exp (neg (/ (* sinTheta_i (neg sinTheta_O)) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) (neg v)))) (/ (* cosTheta_i cosTheta_O) (neg v))) (* (* (sinh (/ 1 (neg v))) 2) (neg v))))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_O cosTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* cosTheta_i sinTheta_O) v))) (/ (* sinTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i cosTheta_i) v))) (/ (* sinTheta_O cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) cosTheta_i))) (/ (* v cosTheta_O) cosTheta_i)) (* (* (sinh (/ 1 cosTheta_i)) 2) cosTheta_i))
(/ (* (exp (neg (/ (* cosTheta_O sinTheta_O) v))) (/ (* cosTheta_i sinTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i cosTheta_O) v))) (/ (* cosTheta_i sinTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) cosTheta_O))) (/ (* cosTheta_i v) cosTheta_O)) (* (* (sinh (/ 1 cosTheta_O)) 2) cosTheta_O))
(/ (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (* (exp (neg (/ (* v sinTheta_O) sinTheta_i))) (/ (* cosTheta_i cosTheta_O) sinTheta_i)) (* (* (sinh (/ 1 sinTheta_i)) 2) sinTheta_i))
(/ (* (exp (neg (/ (* sinTheta_i v) sinTheta_O))) (/ (* cosTheta_i cosTheta_O) sinTheta_O)) (* (* (sinh (/ 1 sinTheta_O)) 2) sinTheta_O))
Outputs
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* cosTheta_O (/ cosTheta_i (square v))) (* (sinh (recip v)) 2)) (pow (exp sinTheta_i) (/ sinTheta_O v)))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* (neg cosTheta_i) cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* cosTheta_O (/ cosTheta_i (square v))) (* (sinh (recip v)) -2)) (pow (exp sinTheta_i) (/ sinTheta_O v)))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i (neg cosTheta_O)) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* cosTheta_O (/ cosTheta_i (square v))) (* (sinh (recip v)) -2)) (pow (exp sinTheta_i) (/ sinTheta_O v)))
(/ (* (exp (neg (/ (* (neg sinTheta_i) sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(* (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (* cosTheta_O (/ cosTheta_i (square v))) (* (sinh (recip v)) 2)))
(/ (* (exp (neg (/ (* sinTheta_i (neg sinTheta_O)) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(* (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (* cosTheta_O (/ cosTheta_i (square v))) (* (sinh (recip v)) 2)))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) (neg v)))) (/ (* cosTheta_i cosTheta_O) (neg v))) (* (* (sinh (/ 1 (neg v))) 2) (neg v)))
(* (/ (/ (pow (exp sinTheta_i) (/ sinTheta_O v)) 2) (sinh (/ -1 v))) (* cosTheta_O (/ cosTheta_i (square v))))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* (neg cosTheta_i) cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(/ (/ (* cosTheta_O (/ cosTheta_i (square v))) (* (sinh (recip v)) 2)) (pow (exp sinTheta_i) (/ sinTheta_O v)))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i (neg cosTheta_O)) v)) (* (* (sinh (/ 1 v)) 2) v)))
(/ (/ (* cosTheta_O (/ cosTheta_i (square v))) (* (sinh (recip v)) 2)) (pow (exp sinTheta_i) (/ sinTheta_O v)))
(neg (/ (* (exp (neg (/ (* (neg sinTheta_i) sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(* (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (* cosTheta_O (/ cosTheta_i (square v))) (* (sinh (recip v)) -2)))
(neg (/ (* (exp (neg (/ (* sinTheta_i (neg sinTheta_O)) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)))
(* (pow (exp sinTheta_i) (/ sinTheta_O v)) (/ (* cosTheta_O (/ cosTheta_i (square v))) (* (sinh (recip v)) -2)))
(neg (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) (neg v)))) (/ (* cosTheta_i cosTheta_O) (neg v))) (* (* (sinh (/ 1 (neg v))) 2) (neg v))))
(/ (* (pow (exp sinTheta_i) (/ sinTheta_O v)) (* cosTheta_O (/ cosTheta_i (square v)))) (* (sinh (/ -1 v)) -2))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_O cosTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* cosTheta_O (/ cosTheta_i (square v))) (* (sinh (recip v)) 2)) (pow (exp sinTheta_i) (/ sinTheta_O v)))
(/ (* (exp (neg (/ (* cosTheta_i sinTheta_O) v))) (/ (* sinTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (/ (* sinTheta_i cosTheta_O) (square v)) (* (sinh (recip v)) 2)) (pow (exp sinTheta_O) (/ cosTheta_i v)))
(/ (* (exp (neg (/ (* sinTheta_i cosTheta_i) v))) (/ (* sinTheta_O cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* sinTheta_O cosTheta_O) (pow (exp sinTheta_i) (/ cosTheta_i v))) (* (* (sinh (recip v)) 2) (square v)))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) cosTheta_i))) (/ (* v cosTheta_O) cosTheta_i)) (* (* (sinh (/ 1 cosTheta_i)) 2) cosTheta_i))
(/ (/ (* v cosTheta_O) (square cosTheta_i)) (* (sinh (recip cosTheta_i)) (* 2 (pow (exp sinTheta_i) (/ sinTheta_O cosTheta_i)))))
(/ (* (exp (neg (/ (* cosTheta_O sinTheta_O) v))) (/ (* cosTheta_i sinTheta_i) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (/ (* sinTheta_i cosTheta_i) (pow (exp sinTheta_O) (/ cosTheta_O v))) (square v)) (* (sinh (recip v)) 2))
(/ (* (exp (neg (/ (* sinTheta_i cosTheta_O) v))) (/ (* cosTheta_i sinTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (/ (* sinTheta_O cosTheta_i) (pow (exp sinTheta_i) (/ cosTheta_O v))) (square v)) (* (sinh (recip v)) 2))
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) cosTheta_O))) (/ (* cosTheta_i v) cosTheta_O)) (* (* (sinh (/ 1 cosTheta_O)) 2) cosTheta_O))
(/ (/ (/ (* v cosTheta_i) (pow (exp sinTheta_i) (/ sinTheta_O cosTheta_O))) (square cosTheta_O)) (* 2 (sinh (recip cosTheta_O))))
(/ (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v))
(/ (/ (* cosTheta_O (/ cosTheta_i (square v))) (* (sinh (recip v)) 2)) (pow (exp sinTheta_i) (/ sinTheta_O v)))
(/ (* (exp (neg (/ (* v sinTheta_O) sinTheta_i))) (/ (* cosTheta_i cosTheta_O) sinTheta_i)) (* (* (sinh (/ 1 sinTheta_i)) 2) sinTheta_i))
(/ (/ (/ (* cosTheta_i cosTheta_O) (pow (exp sinTheta_O) (/ v sinTheta_i))) (square sinTheta_i)) (* 2 (sinh (recip sinTheta_i))))
(/ (* (exp (neg (/ (* sinTheta_i v) sinTheta_O))) (/ (* cosTheta_i cosTheta_O) sinTheta_O)) (* (* (sinh (/ 1 sinTheta_O)) 2) sinTheta_O))
(/ (/ (/ (* cosTheta_i cosTheta_O) (pow (exp sinTheta_i) (/ v sinTheta_O))) (square sinTheta_O)) (* 2 (sinh (recip sinTheta_O))))
Symmetry

(negabs cosTheta_i)

(negabs cosTheta_O)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain269.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
04(1.4717903671933786e-28 3.785829474184734e-18 -1.1481438886628352e-29 1.439247632329856e-25 0.7042753100395203)0-(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
00-0-(sinh.f32 (/.f32 #s(literal 1 binary32) v))
00-0-cosTheta_O
06(2.0824275707554817e-22 2.7321812012814917e-6 -1.8231408116526002e-17 -3.7677445975268054e-29 0.4380292594432831)0-(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
00-0-(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
00-0-(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
00-0-(*.f32 cosTheta_i cosTheta_O)
00-0-(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
00-0-(*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
00-0-#s(literal 1 binary32)
00-0-(*.f32 sinTheta_i sinTheta_O)
00-0-sinTheta_O
00-0-cosTheta_i
00-0-(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
00-0-v
00-0-sinTheta_i
00-0-(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
00-0-#s(literal 2 binary32)
00-0-(/.f32 #s(literal 1 binary32) v)
Results
145.0ms512×0valid
Compiler

Compiled 223 to 59 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-neg: 23.0ms (33.7% of total)
ival-div: 17.0ms (24.9% of total)
ival-mult: 16.0ms (23.5% of total)
ival-sinh: 7.0ms (10.3% of total)
ival-exp: 4.0ms (5.9% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 26 to 18 computations (30.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.6%
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify204.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 cosTheta_i cosTheta_O)
✓cost-diff0
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓cost-diff0
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓cost-diff0
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
Rules
5692×*-lowering-*.f32
5692×*-lowering-*.f64
1902×+-lowering-+.f64
1902×+-lowering-+.f32
1532×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01876
14276
211976
355076
4222275
5353775
6636875
0853475
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
(/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v)))
(/ (* cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(exp (/ (* sinTheta_i sinTheta_O) v))
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(* (sinh (/ 1 v)) (* v 2))
(sinh (/ 1 v))
(/ 1 v)
1
(* v 2)
2
Outputs
(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (*.f32 sinTheta_i (/.f32 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
(exp (/ (* sinTheta_i sinTheta_O) v))
(exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))
(/ (* sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(* (sinh (/ 1 v)) (* v 2))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 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)

localize87.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
✓accuracy99.3%
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓accuracy99.3%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy97.5%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Results
62.0ms256×0valid
Compiler

Compiled 86 to 19 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 10.0ms (43.7% of total)
ival-mult: 7.0ms (30.6% of total)
ival-exp: 4.0ms (17.5% of total)
ival-sinh: 2.0ms (8.7% of total)
const: 1.0ms (4.4% of total)
backward-pass: 0.0ms (0% of total)

series72.0ms (0.3%)

Counts
7 → 240
Calls
Call 1
Inputs
#<alt (/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))>
#<alt (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v)))>
#<alt (/ (* cosTheta_i cosTheta_O) v)>
#<alt (* cosTheta_i cosTheta_O)>
#<alt (sinh (/ 1 v))>
#<alt (/ (* sinTheta_i sinTheta_O) v)>
#<alt (* (sinh (/ 1 v)) (* v 2))>
Outputs
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
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#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))>
#<alt (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))>
Calls

60 calls:

TimeVariablePointExpression
8.0ms
v
@inf
(* (sinh (/ 1 v)) (* v 2))
6.0ms
sinTheta_O
@inf
(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
5.0ms
v
@inf
(/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v)))
4.0ms
cosTheta_i
@0
(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
4.0ms
cosTheta_O
@0
(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))

rewrite293.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
4360×*-lowering-*.f32
4360×*-lowering-*.f64
3508×/-lowering-/.f32
3508×/-lowering-/.f64
1774×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01855
17455
249055
3612355
0810555
Stop Event
1×iter limit
1×node limit
Counts
7 → 643
Calls
Call 1
Inputs
(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
(/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v)))
(/ (* cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
(sinh (/ 1 v))
(/ (* sinTheta_i sinTheta_O) v)
(* (sinh (/ 1 v)) (* v 2))
Outputs
(neg.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(neg.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(exp.f32 (*.f32 (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (log.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) #s(literal -1 binary32)))
(exp.f32 (+.f32 (*.f32 (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (log.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32)) (*.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32))))
(exp.f32 (+.f32 (*.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32)) (*.f32 (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (log.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))))
(pow.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32))
(pow.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) #s(literal -1 binary32))
(pow.f32 (/.f32 v (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))) (-.f32 #s(literal 0 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (log.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))) (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (neg.f32 v)))) (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))) (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (*.f32 v (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (neg.f32 v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (neg.f32 v))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (neg.f32 v)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))) (neg.f32 v)))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 v (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))) (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (neg.f32 (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))))
(/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 v #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))) (-.f32 #s(literal 0 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))))
(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 v (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (-.f32 #s(literal 0 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (neg.f32 v))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (neg.f32 v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))) v))
(/.f32 (neg.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 (*.f32 v #s(literal -2 binary32))))
(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v #s(literal -2 binary32)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal 2 binary32)))
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 2 binary32)) v) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 v #s(literal 2 binary32)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) #s(literal 2 binary32)))
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(*.f32 (neg.f32 sinTheta_i) (*.f32 sinTheta_O (/.f32 #s(literal -1 binary32) v)))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v) #s(literal -1 binary32))
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(*.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O #s(literal 1 binary32)))
(*.f32 (/.f32 sinTheta_i v) (log.f32 (exp.f32 sinTheta_O)))
(*.f32 (/.f32 sinTheta_i #s(literal -1 binary32)) (/.f32 (neg.f32 sinTheta_O) v))
(*.f32 (/.f32 sinTheta_O #s(literal -1 binary32)) (/.f32 (neg.f32 sinTheta_i) v))
(*.f32 (/.f32 (neg.f32 sinTheta_O) #s(literal -1 binary32)) (/.f32 sinTheta_i v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) #s(literal -1 binary32)) (/.f32 sinTheta_O v))
(*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v))
(*.f32 (*.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (/.f32 #s(literal -1 binary32) v))
(*.f32 (*.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (*.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(log.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))
(exp.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32))))
(+.f32 (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) #s(literal 1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 v #s(literal 2 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))
(fma.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(-.f32 #s(literal 0 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 v #s(literal 2 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 v #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))) #s(literal -1 binary32))
(/.f32 (*.f32 (*.f32 (*.f32 v #s(literal 2 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 v #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v #s(literal 2 binary32))) #s(literal -2 binary32))
(/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 v #s(literal 2 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -2 binary32))
(/.f32 (*.f32 (*.f32 v #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -2 binary32))
(*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 v (*.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 v (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (*.f32 v #s(literal -2 binary32))))
(*.f32 #s(literal 2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 v #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (*.f32 v #s(literal 2 binary32)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) #s(literal 1 binary32))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 v #s(literal 2 binary32))))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 v #s(literal 2 binary32)) #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))
(*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(*.f32 (*.f32 v #s(literal -2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 v #s(literal -2 binary32)))
(*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -2 binary32))
(*.f32 (*.f32 (*.f32 (*.f32 v #s(literal 2 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32))
(*.f32 (neg.f32 (*.f32 v #s(literal -2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (neg.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32))

simplify357.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
4978×*-lowering-*.f32
4978×*-lowering-*.f64
1590×+-lowering-+.f64
1590×+-lowering-+.f32
1388×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03493682
112603413
255813401
080873401
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (pow v 3))) (* cosTheta_O cosTheta_i)) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))) v)
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (+ (* -1 (/ (+ (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) v))) v))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))))))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))))))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* 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)
(* 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)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) 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)
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
Outputs
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) v) (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))))) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)))))) (*.f32 v (*.f32 v v))) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(+.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_O (-.f32 (*.f32 (*.f32 sinTheta_O #s(literal -1/2 binary32)) (-.f32 (*.f32 sinTheta_O (-.f32 (-.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) v)) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_i)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
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(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v)
(/.f32 (+.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* 1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (pow v 3))) (* cosTheta_O cosTheta_i)) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))) v)
(/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 cosTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O #s(literal -1/3 binary32))) (*.f32 sinTheta_O (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 sinTheta_i #s(literal -1/2 binary32))))) (*.f32 v (*.f32 v v)))) (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) #s(literal -1/2 binary32)))) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v))) v))
(/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (+ (* -1 (/ (+ (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) v))) v))
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v)
(+ (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))
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(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (pow v 4))))))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))
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(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
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(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
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(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v)
(+ (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 sinTheta_O (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) sinTheta_O)) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_i)) (*.f32 v v)))))
(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (pow v 4))))))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))) (/ (* cosTheta_O cosTheta_i) v))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 sinTheta_O (-.f32 (*.f32 sinTheta_O (-.f32 (*.f32 (+.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) sinTheta_i)) v) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) #s(literal -1/3 binary32)) (pow.f32 v #s(literal 4 binary32)))) (neg.f32 sinTheta_O)) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (*.f32 v v)))))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_i)) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ (* cosTheta_O cosTheta_i) v)
(/.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 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.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 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.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 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.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 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.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 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.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 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.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 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.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 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.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 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.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 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.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 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.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 (*.f32 cosTheta_O cosTheta_i) v)
(* 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)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32)))))) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v)))) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)))) (pow.f32 v #s(literal 4 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) (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)
(/.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)
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))))))
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))))))

eval74.0ms (0.3%)

Compiler

Compiled 21303 to 2069 computations (90.3% saved)

prune203.0ms (0.9%)

Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New85033883
Fresh000
Picked101
Done000
Total85133884
Accuracy
99.7%
Counts
884 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.0%
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
67.3%
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
98.3%
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) (*.f32 v #s(literal 2 binary32))))
98.6%
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
98.5%
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32)))))
98.4%
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
95.9%
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
98.6%
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)))) (/.f32 (+.f32 (*.f32 sinTheta_O (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 sinTheta_i #s(literal -1/2 binary32)))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))) #s(literal 1/3 binary32))) (neg.f32 v))) v))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
▶98.5%
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
98.6%
(/.f32 (/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 cosTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O #s(literal -1/3 binary32))) (*.f32 sinTheta_O (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 sinTheta_i #s(literal -1/2 binary32))))) (*.f32 v (*.f32 v v)))) (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) #s(literal -1/2 binary32)))) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
98.5%
(/.f32 (/.f32 (+.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
98.7%
(/.f32 (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
98.5%
(/.f32 (/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
98.4%
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
53.4%
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
53.3%
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))))) v)
98.5%
(/.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) v)
▶55.4%
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
98.5%
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
95.3%
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) v))
98.8%
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
98.6%
(*.f32 (/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_O v) v))
98.5%
(*.f32 (/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
▶98.5%
(*.f32 (/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
98.5%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v))
▶98.4%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 v #s(literal 2 binary32))))
98.8%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
98.6%
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
98.7%
(*.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.7%
(*.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
▶98.9%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
98.6%
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (*.f32 v (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))))
89.1%
(exp.f32 (*.f32 (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (log.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) #s(literal -1 binary32)))
Compiler

Compiled 2198 to 1418 computations (35.5% saved)

simplify282.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓cost-diff0
(*.f32 cosTheta_i cosTheta_O)
✓cost-diff0
(/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓cost-diff0
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 v #s(literal 2 binary32))))
✓cost-diff0
(exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
✓cost-diff0
(/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
✓cost-diff0
(/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓cost-diff0
(*.f32 (/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
✓cost-diff32
(/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v))
✓cost-diff64
(*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v))))
✓cost-diff64
(-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i))
✓cost-diff192
(+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))
✓cost-diff0
(*.f32 cosTheta_O cosTheta_i)
✓cost-diff0
(*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
✓cost-diff0
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
✓cost-diff0
(*.f32 cosTheta_i cosTheta_O)
✓cost-diff0
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))
✓cost-diff64
(*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
✓cost-diff64
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
Rules
4456×*-lowering-*.f32
4456×*-lowering-*.f64
2916×/-lowering-/.f32
2916×/-lowering-/.f64
1278×associate-/l/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059532
1176499
2635477
33019470
47452470
08147470
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (- 0 (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (exp (/ sinTheta_i (/ v sinTheta_O))))))
(- 0 (* cosTheta_i cosTheta_O))
0
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (exp (/ sinTheta_i (/ v sinTheta_O)))))
(/ -1 v)
-1
v
(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (exp (/ sinTheta_i (/ v sinTheta_O))))
(/ (/ 1/2 v) (sinh (/ 1 v)))
(/ 1/2 v)
1/2
(sinh (/ 1 v))
(/ 1 v)
1
(exp (/ sinTheta_i (/ v sinTheta_O)))
(/ sinTheta_i (/ v sinTheta_O))
sinTheta_i
(/ v sinTheta_O)
sinTheta_O
(/ (* (* cosTheta_O cosTheta_i) 1/2) v)
(* (* cosTheta_O cosTheta_i) 1/2)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
1/2
v
(/ (/ (- (/ (* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))) v) (* cosTheta_O cosTheta_i)) (neg v)) (* (sinh (/ 1 v)) (* v 2)))
(/ (- (/ (* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))) v) (* cosTheta_O cosTheta_i)) (neg v))
(- (/ (* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))) v) (* cosTheta_O cosTheta_i))
(/ (* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))) v)
(* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v))))
1
(+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
cosTheta_O
(* cosTheta_i (* sinTheta_O sinTheta_i))
cosTheta_i
(* sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v))
(* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i))))
(* cosTheta_O cosTheta_i)
(* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))
(* sinTheta_O (* sinTheta_i sinTheta_i))
(* sinTheta_i sinTheta_i)
(/ -1/2 v)
-1/2
v
(neg v)
(* (sinh (/ 1 v)) (* v 2))
(sinh (/ 1 v))
(/ 1 v)
(* v 2)
2
(* (/ (/ cosTheta_O (exp (/ sinTheta_i (/ v sinTheta_O)))) (* (sinh (/ 1 v)) 2)) (/ (/ cosTheta_i v) v))
(/ (/ cosTheta_O (exp (/ sinTheta_i (/ v sinTheta_O)))) (* (sinh (/ 1 v)) 2))
(/ cosTheta_O (exp (/ sinTheta_i (/ v sinTheta_O))))
cosTheta_O
(exp (/ sinTheta_i (/ v sinTheta_O)))
(/ sinTheta_i (/ v sinTheta_O))
sinTheta_i
(/ v sinTheta_O)
v
sinTheta_O
(* (sinh (/ 1 v)) 2)
(sinh (/ 1 v))
(/ 1 v)
1
2
(/ (/ cosTheta_i v) v)
(/ cosTheta_i v)
cosTheta_i
(* (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (/ (/ (exp (/ (* sinTheta_O (neg sinTheta_i)) v)) v) (* v 2)))
(/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(sinh (/ 1 v))
(/ 1 v)
1
v
(/ (/ (exp (/ (* sinTheta_O (neg sinTheta_i)) v)) v) (* v 2))
(/ (exp (/ (* sinTheta_O (neg sinTheta_i)) v)) v)
(exp (/ (* sinTheta_O (neg sinTheta_i)) v))
(/ (* sinTheta_O (neg sinTheta_i)) v)
(* sinTheta_O (neg sinTheta_i))
sinTheta_O
(neg sinTheta_i)
sinTheta_i
(* v 2)
2
Outputs
(* (- 0 (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (exp (/ sinTheta_i (/ v sinTheta_O))))))
(/.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(- 0 (* cosTheta_i cosTheta_O))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))
0
#s(literal 0 binary32)
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (exp (/ sinTheta_i (/ v sinTheta_O)))))
(/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)
v
(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (exp (/ sinTheta_i (/ v sinTheta_O))))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/ (/ 1/2 v) (sinh (/ 1 v)))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
(exp (/ sinTheta_i (/ v sinTheta_O)))
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/ sinTheta_i (/ v sinTheta_O))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
sinTheta_i
(/ v sinTheta_O)
(/.f32 v sinTheta_O)
sinTheta_O
(/ (* (* cosTheta_O cosTheta_i) 1/2) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O)) v)
(* (* cosTheta_O cosTheta_i) 1/2)
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
1/2
#s(literal 1/2 binary32)
v
(/ (/ (- (/ (* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))) v) (* cosTheta_O cosTheta_i)) (neg v)) (* (sinh (/ 1 v)) (* v 2)))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v))))) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))
(/ (- (/ (* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))) v) (* cosTheta_O cosTheta_i)) (neg v))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v))))) v))) v)
(- (/ (* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))) v) (* cosTheta_O cosTheta_i))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v))))) v)))
(/ (* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))) v)
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_i sinTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v))))))) v)
(* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v))))
(*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_i sinTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))))))
1
#s(literal 1 binary32)
(+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))
(*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_i sinTheta_O) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)))))))
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 cosTheta_i cosTheta_O)))
cosTheta_O
(* cosTheta_i (* sinTheta_O sinTheta_i))
(*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O))
cosTheta_i
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_O
sinTheta_i
(* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v))
(/.f32 (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 cosTheta_i cosTheta_O))))) #s(literal -1/2 binary32)) v)
(* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i))))
(*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 cosTheta_i cosTheta_O)))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))
(*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))
(* sinTheta_O (* sinTheta_i sinTheta_i))
(*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))
(* sinTheta_i sinTheta_i)
(*.f32 sinTheta_i sinTheta_i)
(/ -1/2 v)
(/.f32 #s(literal -1/2 binary32) v)
-1/2
#s(literal -1/2 binary32)
v
(neg v)
(neg.f32 v)
(* (sinh (/ 1 v)) (* v 2))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(* v 2)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)
(* (/ (/ cosTheta_O (exp (/ sinTheta_i (/ v sinTheta_O)))) (* (sinh (/ 1 v)) 2)) (/ (/ cosTheta_i v) v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/ (/ cosTheta_O (exp (/ sinTheta_i (/ v sinTheta_O)))) (* (sinh (/ 1 v)) 2))
(/.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/ cosTheta_O (exp (/ sinTheta_i (/ v sinTheta_O))))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
cosTheta_O
(exp (/ sinTheta_i (/ v sinTheta_O)))
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/ sinTheta_i (/ v sinTheta_O))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
sinTheta_i
(/ v sinTheta_O)
(/.f32 v sinTheta_O)
v
sinTheta_O
(* (sinh (/ 1 v)) 2)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
2
#s(literal 2 binary32)
(/ (/ cosTheta_i v) v)
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
(* (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (/ (/ (exp (/ (* sinTheta_O (neg sinTheta_i)) v)) v) (* v 2)))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (*.f32 (*.f32 v (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
v
(/ (/ (exp (/ (* sinTheta_O (neg sinTheta_i)) v)) v) (* v 2))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/ (exp (/ (* sinTheta_O (neg sinTheta_i)) v)) v)
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v)
(exp (/ (* sinTheta_O (neg sinTheta_i)) v))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/ (* sinTheta_O (neg sinTheta_i)) v)
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(* sinTheta_O (neg sinTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_O))
sinTheta_O
(neg sinTheta_i)
(neg.f32 sinTheta_i)
sinTheta_i
(* v 2)
(*.f32 v #s(literal 2 binary32))
2
#s(literal 2 binary32)

localize521.0ms (2.4%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
✓accuracy99.2%
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 v #s(literal 2 binary32)))
✓accuracy99.1%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)) v) (*.f32 v #s(literal 2 binary32))))
✓accuracy97.5%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy99.5%
(*.f32 (/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
✓accuracy99.3%
(/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓accuracy99.2%
(/.f32 (/.f32 cosTheta_i v) v)
✓accuracy97.5%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy99.5%
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
✓accuracy99.3%
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
✓accuracy99.3%
(/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v))
✓accuracy97.5%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy100.0%
(*.f32 cosTheta_O cosTheta_i)
✓accuracy99.9%
(*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
✓accuracy99.3%
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
✓accuracy99.5%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
✓accuracy99.0%
(*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
✓accuracy99.0%
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓accuracy97.5%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Results
407.0ms256×0valid
Compiler

Compiled 586 to 60 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-mult: 56.0ms (51.9% of total)
ival-div: 34.0ms (31.5% of total)
ival-sinh: 5.0ms (4.6% of total)
ival-exp: 4.0ms (3.7% of total)
ival-sub: 3.0ms (2.8% of total)
ival-neg: 3.0ms (2.8% of total)
ival-add: 1.0ms (0.9% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series251.0ms (1.2%)

Counts
24 → 948
Calls
Call 1
Inputs
#<alt (* (- 0 (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (exp (/ sinTheta_i (/ v sinTheta_O))))))>
#<alt (* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (exp (/ sinTheta_i (/ v sinTheta_O)))))>
#<alt (- 0 (* cosTheta_i cosTheta_O))>
#<alt (* cosTheta_i cosTheta_O)>
#<alt (/ (* (* cosTheta_O cosTheta_i) 1/2) v)>
#<alt (* (* cosTheta_O cosTheta_i) 1/2)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))>
#<alt (- (/ (* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))) v) (* cosTheta_O cosTheta_i))>
#<alt (* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v))))>
#<alt (/ (- (/ (* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))) v) (* cosTheta_O cosTheta_i)) (neg v))>
#<alt (* (/ (/ cosTheta_O (exp (/ sinTheta_i (/ v sinTheta_O)))) (* (sinh (/ 1 v)) 2)) (/ (/ cosTheta_i v) v))>
#<alt (/ (/ cosTheta_O (exp (/ sinTheta_i (/ v sinTheta_O)))) (* (sinh (/ 1 v)) 2))>
#<alt (/ cosTheta_O (exp (/ sinTheta_i (/ v sinTheta_O))))>
#<alt (exp (/ sinTheta_i (/ v sinTheta_O)))>
#<alt (* (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (/ (/ (exp (/ (* sinTheta_O (neg sinTheta_i)) v)) v) (* v 2)))>
#<alt (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))>
#<alt (sinh (/ 1 v))>
#<alt (/ (/ 1/2 v) (sinh (/ 1 v)))>
#<alt (* (sinh (/ 1 v)) (* v 2))>
#<alt (/ (/ (- (/ (* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))) v) (* cosTheta_O cosTheta_i)) (neg v)) (* (sinh (/ 1 v)) (* v 2)))>
#<alt (/ (/ cosTheta_i v) v)>
#<alt (/ (/ (exp (/ (* sinTheta_O (neg sinTheta_i)) v)) v) (* v 2))>
#<alt (/ (* sinTheta_O (neg sinTheta_i)) v)>
Outputs
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
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#<alt (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))>
#<alt (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))>
#<alt (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i sinTheta_i))))>
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#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))>
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#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))>
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#<alt (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))>
#<alt (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O))))>
#<alt (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O))))>
#<alt (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O))))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))>
#<alt (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) v)>
#<alt (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) v)>
#<alt (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) v)>
#<alt (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))>
#<alt (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))>
#<alt (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))>
#<alt (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))>
#<alt (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))>
#<alt (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))>
#<alt (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))>
#<alt (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))>
#<alt (* -1 (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))))>
#<alt (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))>
#<alt (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))>
#<alt (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))>
#<alt (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))>
#<alt (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))>
#<alt (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))>
#<alt (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))>
#<alt (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))>
#<alt (* -1 (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))))>
#<alt (* -1 (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))))>
#<alt (* -1 (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))))>
#<alt (* -1 (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))))>
#<alt (* -1 (* cosTheta_O cosTheta_i))>
#<alt (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))>
#<alt (- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))>
#<alt (- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (* -1 (* cosTheta_O cosTheta_i))>
#<alt (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))>
#<alt (- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))>
#<alt (- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (pow v 2))>
#<alt (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))>
#<alt (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))>
#<alt (* -1 (* cosTheta_O cosTheta_i))>
#<alt (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))>
#<alt (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (* -1 (* cosTheta_O cosTheta_i))>
#<alt (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))>
#<alt (- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))>
#<alt (- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))>
#<alt (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))>
#<alt (* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))>
#<alt (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))>
#<alt (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))>
#<alt (* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))>
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#<alt (* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))>
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#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))>
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#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
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#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))>
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#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))>
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#<alt (/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))) (pow v 3))>
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#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))>
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#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
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#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (pow sinTheta_O 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (* cosTheta_O v))>
#<alt (* v (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)))>
#<alt (* v (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_O))))>
#<alt (* v (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* cosTheta_O (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_O)))))>
#<alt (* 1/2 (* cosTheta_O v))>
#<alt (* -1 (* v (+ (* -1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))))>
#<alt (* -1 (* v (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v))) v)) (* -1/2 cosTheta_O))))>
#<alt (* -1 (* v (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (* 1/2 (/ (+ (* cosTheta_O (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (+ (* cosTheta_O (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O))))>
#<alt (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_O) v))))>
#<alt (+ cosTheta_O (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_O 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_O 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_O) v))))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (- (+ cosTheta_O (* -1 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))>
#<alt (- (+ cosTheta_O (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3)))) (+ (* -1 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* -1 (/ (- (+ (* -1 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ cosTheta_O (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (+ (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (/ (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_i) v))))>
#<alt (+ cosTheta_O (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_i) v))))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))))>
#<alt (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v))))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt 1>
#<alt (+ 1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (+ (* 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))) (/ (* sinTheta_O sinTheta_i) v))))>
#<alt 1>
#<alt (+ 1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))>
#<alt 1>
#<alt (+ 1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))>
#<alt (+ 1 (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))) (/ sinTheta_i v))))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* cosTheta_O (* cosTheta_i v))>
#<alt (* v (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)))>
#<alt (* v (- (+ (* -1 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))>
#<alt (* v (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* cosTheta_O cosTheta_i)) (+ (* -1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i v))>
#<alt (* -1 (* v (+ (* -1 (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))>
#<alt (* -1 (* v (- (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4)))) (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))>
#<alt (* -1 (* v (- (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6)))) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))))))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (pow v 2))>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) (pow v 2))>
#<alt (/ 1/2 (pow v 2))>
#<alt (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))>
#<alt (/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))) (pow v 2))>
#<alt (/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))) (pow v 2))>
#<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))>
Calls

237 calls:

TimeVariablePointExpression
75.0ms
sinTheta_i
@0
(/ (/ cosTheta_O (exp (/ sinTheta_i (/ v sinTheta_O)))) (* (sinh (/ 1 v)) 2))
29.0ms
cosTheta_O
@-inf
(* (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (/ (/ (exp (/ (* sinTheta_O (neg sinTheta_i)) v)) v) (* v 2)))
11.0ms
cosTheta_i
@-inf
(+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))
3.0ms
v
@inf
(/ (/ cosTheta_O (exp (/ sinTheta_i (/ v sinTheta_O)))) (* (sinh (/ 1 v)) 2))
2.0ms
cosTheta_O
@0
(+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))

rewrite398.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
4622×/-lowering-/.f32
4622×/-lowering-/.f64
3948×*-lowering-*.f32
3948×*-lowering-*.f64
1706×frac-2neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059316
1299287
22403272
08585272
Stop Event
1×iter limit
1×node limit
Counts
24 → 1446
Calls
Call 1
Inputs
(* (- 0 (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (exp (/ sinTheta_i (/ v sinTheta_O))))))
(* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (exp (/ sinTheta_i (/ v sinTheta_O)))))
(- 0 (* cosTheta_i cosTheta_O))
(* cosTheta_i cosTheta_O)
(/ (* (* cosTheta_O cosTheta_i) 1/2) v)
(* (* cosTheta_O cosTheta_i) 1/2)
(* cosTheta_O cosTheta_i)
(+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))
(- (/ (* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))) v) (* cosTheta_O cosTheta_i))
(* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v))))
(/ (- (/ (* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))) v) (* cosTheta_O cosTheta_i)) (neg v))
(* (/ (/ cosTheta_O (exp (/ sinTheta_i (/ v sinTheta_O)))) (* (sinh (/ 1 v)) 2)) (/ (/ cosTheta_i v) v))
(/ (/ cosTheta_O (exp (/ sinTheta_i (/ v sinTheta_O)))) (* (sinh (/ 1 v)) 2))
(/ cosTheta_O (exp (/ sinTheta_i (/ v sinTheta_O))))
(exp (/ sinTheta_i (/ v sinTheta_O)))
(* (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (/ (/ (exp (/ (* sinTheta_O (neg sinTheta_i)) v)) v) (* v 2)))
(/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))
(sinh (/ 1 v))
(/ (/ 1/2 v) (sinh (/ 1 v)))
(* (sinh (/ 1 v)) (* v 2))
(/ (/ (- (/ (* 1 (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (* (* cosTheta_O cosTheta_i) (* sinTheta_O (* sinTheta_O (* sinTheta_i sinTheta_i)))) (/ -1/2 v)))) v) (* cosTheta_O cosTheta_i)) (neg v)) (* (sinh (/ 1 v)) (* v 2)))
(/ (/ cosTheta_i v) v)
(/ (/ (exp (/ (* sinTheta_O (neg sinTheta_i)) v)) v) (* v 2))
(/ (* sinTheta_O (neg sinTheta_i)) v)
Outputs
(neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))))
(neg.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (*.f32 cosTheta_i cosTheta_O)))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 cosTheta_i (neg.f32 cosTheta_O)))))
(neg.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(neg.f32 (*.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(neg.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v)))
(neg.f32 (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(neg.f32 (*.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 #s(literal 1 binary32) v)))
(+.f32 #s(literal 0 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(fma.f32 #s(literal 0 binary32) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (/.f32 (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(fma.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) #s(literal 0 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))))
(-.f32 #s(literal 0 binary32) (*.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (neg.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal -2 binary32) (*.f32 v v))))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 v #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i (neg.f32 cosTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (*.f32 cosTheta_i (neg.f32 cosTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 cosTheta_i (neg.f32 cosTheta_O)))))
(/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v))))
(/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (neg.f32 v))
(/.f32 (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(/.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 cosTheta_i (neg.f32 cosTheta_O))) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(/.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal -2 binary32) (*.f32 v v)))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(/.f32 (*.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) v)
(/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 v #s(literal 1/2 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v))) (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(/.f32 (*.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i (neg.f32 cosTheta_O))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(/.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (*.f32 cosTheta_i (neg.f32 cosTheta_O))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(/.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 cosTheta_i (neg.f32 cosTheta_O))) v)
(/.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal -2 binary32) (*.f32 v v))))) (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(/.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 v #s(literal 1/2 binary32)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 (neg.f32 (*.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i (neg.f32 cosTheta_O)))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (neg.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (*.f32 cosTheta_i (neg.f32 cosTheta_O)))) (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))))
(*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (*.f32 cosTheta_i cosTheta_O)))
(*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 cosTheta_i (neg.f32 cosTheta_O))))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (*.f32 cosTheta_i (neg.f32 cosTheta_O)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
(*.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(*.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 #s(literal -1 binary32) v))
(*.f32 (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal -1 binary32))))
(*.f32 (neg.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) (*.f32 cosTheta_i cosTheta_O))
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(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v #s(literal 1/2 binary32))))
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(fma.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))))
(fma.f32 cosTheta_i (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_O) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))))
(fma.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32)))) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32)))) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 cosTheta_O (/.f32 (*.f32 (*.f32 cosTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 cosTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))))
(fma.f32 (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O)) cosTheta_O (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))))
(fma.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))))
(fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v #s(literal -1/2 binary32))) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal -1/2 binary32) v) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))))) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))) #s(literal 1 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 (*.f32 cosTheta_i sinTheta_O) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))))
(fma.f32 (*.f32 sinTheta_O (*.f32 cosTheta_i cosTheta_O)) sinTheta_i (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))))
(fma.f32 (*.f32 sinTheta_O (*.f32 cosTheta_i cosTheta_O)) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))) (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O)) cosTheta_i (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))))
(fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_i) sinTheta_O (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))))
(fma.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) v) cosTheta_O) (*.f32 (*.f32 cosTheta_i sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 v #s(literal -1/2 binary32))) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(fma.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) v) (*.f32 sinTheta_O (*.f32 cosTheta_i cosTheta_O))) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_O))))
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32)))))))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32)))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))) (*.f32 sinTheta_i sinTheta_O)))
(*.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) #s(literal -1 binary32))
(neg.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) v))
(neg.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) v) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (/.f32 v (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))))) #s(literal -1 binary32)))
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(+.f32 (/.f32 #s(literal -1 binary32) (/.f32 v (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)))) (fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 cosTheta_i cosTheta_O))))
(+.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) v) (neg.f32 (*.f32 (/.f32 cosTheta_O (neg.f32 v)) cosTheta_i))) (fma.f32 (neg.f32 (/.f32 cosTheta_O (neg.f32 v))) cosTheta_i (*.f32 (/.f32 cosTheta_O (neg.f32 v)) cosTheta_i)))
(+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) v) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 cosTheta_i (neg.f32 v)) cosTheta_O)))
(+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) v) (neg.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i #s(literal -1 binary32))))) (fma.f32 (neg.f32 (/.f32 cosTheta_O v)) (/.f32 cosTheta_i #s(literal -1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i #s(literal -1 binary32)))))
(+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) v) (neg.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O #s(literal -1 binary32))))) (fma.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 cosTheta_O #s(literal -1 binary32)) (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O #s(literal -1 binary32)))))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) (neg.f32 (*.f32 (/.f32 cosTheta_O (neg.f32 v)) cosTheta_i))) (fma.f32 (neg.f32 (/.f32 cosTheta_O (neg.f32 v))) cosTheta_i (*.f32 (/.f32 cosTheta_O (neg.f32 v)) cosTheta_i)))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 cosTheta_i (neg.f32 v)) cosTheta_O)))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) (neg.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i #s(literal -1 binary32))))) (fma.f32 (neg.f32 (/.f32 cosTheta_O v)) (/.f32 cosTheta_i #s(literal -1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i #s(literal -1 binary32)))))
(+.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) (-.f32 #s(literal 0 binary32) (*.f32 v v))) (neg.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O #s(literal -1 binary32))))) (fma.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 cosTheta_O #s(literal -1 binary32)) (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O #s(literal -1 binary32)))))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 (/.f32 #s(literal -1 binary32) v) v) (neg.f32 (*.f32 (/.f32 cosTheta_O (neg.f32 v)) cosTheta_i))) (fma.f32 (neg.f32 (/.f32 cosTheta_O (neg.f32 v))) cosTheta_i (*.f32 (/.f32 cosTheta_O (neg.f32 v)) cosTheta_i)))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 (/.f32 #s(literal -1 binary32) v) v) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 cosTheta_i (neg.f32 v)) cosTheta_O)))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 (/.f32 #s(literal -1 binary32) v) v) (neg.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i #s(literal -1 binary32))))) (fma.f32 (neg.f32 (/.f32 cosTheta_O v)) (/.f32 cosTheta_i #s(literal -1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i #s(literal -1 binary32)))))
(+.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 (/.f32 #s(literal -1 binary32) v) v) (neg.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O #s(literal -1 binary32))))) (fma.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 cosTheta_O #s(literal -1 binary32)) (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O #s(literal -1 binary32)))))
(+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 (/.f32 cosTheta_O (neg.f32 v)) cosTheta_i))) (fma.f32 (neg.f32 (/.f32 cosTheta_O (neg.f32 v))) cosTheta_i (*.f32 (/.f32 cosTheta_O (neg.f32 v)) cosTheta_i)))
(+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (/.f32 #s(literal -1 binary32) v) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 cosTheta_i (neg.f32 v)) cosTheta_O)))
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(*.f32 (/.f32 cosTheta_i #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) v) v))
(*.f32 (/.f32 cosTheta_i #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) v))
(*.f32 (pow.f32 (/.f32 v (neg.f32 cosTheta_i)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(neg.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))))
(neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(neg.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))) #s(literal 1 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal -1 binary32) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 v (/.f32 v #s(literal 1/2 binary32))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (*.f32 v (/.f32 v #s(literal 1/2 binary32))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 v #s(literal -1/2 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 #s(literal -2 binary32) (*.f32 v v))) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal -1 binary32))) (*.f32 #s(literal -2 binary32) (*.f32 v v))))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 v #s(literal -1/2 binary32)) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v (/.f32 v #s(literal 1/2 binary32))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal -1 binary32))) (/.f32 v #s(literal 1/2 binary32)))))
(/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal -1 binary32))) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (/.f32 v #s(literal -1/2 binary32)))
(/.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 #s(literal -2 binary32) (*.f32 v v)))
(/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal -1 binary32))) (*.f32 v v)) #s(literal 2 binary32))
(/.f32 (neg.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal -1 binary32))) (*.f32 v v))) #s(literal -2 binary32))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal 2 binary32)) v)
(/.f32 (/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v #s(literal 1/2 binary32))) (neg.f32 v))
(/.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal -1 binary32))) (/.f32 v #s(literal 1/2 binary32))) v)
(/.f32 (neg.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v #s(literal 1/2 binary32)))) v)
(*.f32 #s(literal -1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 v #s(literal -1/2 binary32)) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
(*.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal -1 binary32))) (*.f32 v v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (*.f32 #s(literal 2 binary32) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) #s(literal -1 binary32)))
(*.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 v v))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (/.f32 #s(literal -1/2 binary32) v))
(*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) (*.f32 v v))))
(*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal -1 binary32))) (*.f32 v v)) #s(literal 1/2 binary32))
(*.f32 (neg.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal -1 binary32))) (*.f32 v v))) #s(literal -1/2 binary32))
(*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal -1 binary32))) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) v))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v #s(literal 1/2 binary32))) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 (exp.f32 (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal -1 binary32))) (/.f32 v #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) v) v))
(*.f32 (pow.f32 (/.f32 (/.f32 v #s(literal -1/2 binary32)) (exp.f32 (*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal -1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(neg.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 sinTheta_i sinTheta_O))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_i sinTheta_O)))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 v sinTheta_O)) sinTheta_i)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 v sinTheta_O)) sinTheta_i) #s(literal -1 binary32))
(-.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 (-.f32 #s(literal 0 binary32) (/.f32 v sinTheta_O)) sinTheta_i))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))))
(/.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 v sinTheta_O)))
(/.f32 sinTheta_O (/.f32 v (neg.f32 sinTheta_i)))
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
(/.f32 (neg.f32 sinTheta_i) (/.f32 v sinTheta_O))
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))) (neg.f32 v))
(/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) v)
(/.f32 (neg.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)))) v)
(*.f32 #s(literal -1 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
(*.f32 #s(literal 1 binary32) (neg.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 sinTheta_i sinTheta_O)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)))
(*.f32 sinTheta_i (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)))
(*.f32 sinTheta_O (/.f32 #s(literal -1 binary32) (/.f32 v sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal -1 binary32) v))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(*.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))
(*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i))
(*.f32 (/.f32 sinTheta_i v) (neg.f32 sinTheta_O))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 v sinTheta_i)) sinTheta_O)
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 sinTheta_O v)) sinTheta_i)
(*.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))

simplify503.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
7328×*-lowering-*.f32
7328×*-lowering-*.f64
3374×+-lowering-+.f64
3374×+-lowering-+.f32
2116×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0115519626
1432217964
0895017964
Stop Event
1×iter limit
1×node limit
Counts
948 → 948
Calls
Call 1
Inputs
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ -1 (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* -1 (* cosTheta_O cosTheta_i))
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(* -1 (* cosTheta_O cosTheta_i))
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(* -1 (* cosTheta_O cosTheta_i))
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(* -1 (* cosTheta_O cosTheta_i))
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(* -1 (* cosTheta_O cosTheta_i))
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(* -1 (* cosTheta_O cosTheta_i))
(* -1 (* cosTheta_O cosTheta_i))
(* -1 (* cosTheta_O cosTheta_i))
(* -1 (* 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)
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(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
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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)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (* cosTheta_O cosTheta_i))
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(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i sinTheta_i))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i sinTheta_i))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i sinTheta_i))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) v)
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) v)
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) v)
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))
(* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))
(* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))
(* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))
(* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))
(* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))
(* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))
(* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))
(* -1 (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))))
(* -1 (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))))
(* -1 (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))))
(* -1 (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))))
(* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))
(* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))
(* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))
(* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))
(* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))
(* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))
(* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))
(* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))
(* -1 (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))))
(* -1 (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))))
(* -1 (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))))
(* -1 (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))))
(* -1 (* cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))
(- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* -1 (* cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))
(- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (pow v 2))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))
(* -1 (* cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(* -1 (* cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))
(- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i sinTheta_i))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i sinTheta_i))))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i sinTheta_i))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O))))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) v)
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) v)
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) v)
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))
(/ (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))) v)
(/ (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))) v)
(/ (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))) v)
(/ (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))) v)
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) v))
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) v))
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) v))
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) v))
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) v))
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) v))
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) v))
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) v))
(/ (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))) v)
(/ (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))) v)
(/ (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))) v)
(/ (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))) v)
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 3))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))) (pow v 3))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))) (pow v 3))
(/ (* cosTheta_O cosTheta_i) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (pow sinTheta_O 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (* cosTheta_O v))
(* v (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)))
(* v (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_O))))
(* v (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* cosTheta_O (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_O)))))
(* 1/2 (* cosTheta_O v))
(* -1 (* v (+ (* -1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))))
(* -1 (* v (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v))) v)) (* -1/2 cosTheta_O))))
(* -1 (* v (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (* 1/2 (/ (+ (* cosTheta_O (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (+ (* cosTheta_O (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O))))
(/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_O) v))))
(+ cosTheta_O (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_O 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_O 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_O) v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(- (+ cosTheta_O (* -1 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))
(- (+ cosTheta_O (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3)))) (+ (* -1 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* -1 (/ (- (+ (* -1 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)))
(+ cosTheta_O (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (+ (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (/ (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_i) v))))
(+ cosTheta_O (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_i) v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
1
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))))
(+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v))))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
1
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* 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))) (/ (* sinTheta_O sinTheta_i) v))))
1
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
1
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))
(+ 1 (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))) (/ sinTheta_i v))))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (pow v 4))
(/ (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* v (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow v 4))
(/ (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* v (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow v 4))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i)))) (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ 1/2 (pow v 2))
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2))))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 3))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 4))))) (* 1/2 (/ 1 (pow v 2))))
(+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 3))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 5))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 4))))))) (* 1/2 (/ 1 (pow v 2))))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(/ 1/2 (pow v 2))
(+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2))))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 4))))) (* 1/2 (/ 1 (pow v 2))))
(+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 3))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 5))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 4))))))) (* 1/2 (/ 1 (pow v 2))))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2)))
(/ 1/2 (pow v 2))
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) (pow v 2))
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) (pow v 2))
(/ 1/2 (pow v 2))
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) (pow v 2))
(/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))) (pow v 2))
(/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))) (pow v 2))
(* -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))
Outputs
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (+.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))) (*.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 v v))))) v)
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(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
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(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 cosTheta_i (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) v)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* 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 (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_O))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_i))
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i sinTheta_i))))
(*.f32 sinTheta_O (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) v)))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i sinTheta_i))))
(*.f32 sinTheta_O (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) v)))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i sinTheta_i))))
(*.f32 sinTheta_O (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) v)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) v) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) v) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) v) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) v) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) v) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) v) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)))
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O))))
(*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))) v)))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O))))
(*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))) v)))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O))))
(*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))) v)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O))) v) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O))) v) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O))) v) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O))) v) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O))) v) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O))) v) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) v)
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) v)
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) v)
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))
(* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i)))
(* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i)))
(* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i)))
(* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i)))
(* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i)))
(* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i)))
(* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i)))
(* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i))
(*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i)))
(* -1 (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))))
(*.f32 cosTheta_O (neg.f32 (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_i)))
(* -1 (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))))
(*.f32 cosTheta_O (neg.f32 (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_i)))
(* -1 (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))))
(*.f32 cosTheta_O (neg.f32 (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_i)))
(* -1 (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))))
(*.f32 cosTheta_O (neg.f32 (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_i)))
(* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_O)))
(* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_O)))
(* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_O)))
(* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_O)))
(* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_O)))
(* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_O)))
(* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_O)))
(* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O))
(*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_O)))
(* -1 (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))))
(*.f32 (neg.f32 cosTheta_i) (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O))
(* -1 (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))))
(*.f32 (neg.f32 cosTheta_i) (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O))
(* -1 (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))))
(*.f32 (neg.f32 cosTheta_i) (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O))
(* -1 (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))))
(*.f32 (neg.f32 cosTheta_i) (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O))
(* -1 (* cosTheta_O cosTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 cosTheta_O cosTheta_i))
(- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v))) (*.f32 cosTheta_O cosTheta_i))
(- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v))) (*.f32 cosTheta_O cosTheta_i))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O) v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v)) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) v)) sinTheta_O)))
(* -1 (* cosTheta_O cosTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 cosTheta_O cosTheta_i))
(- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) v)))) (*.f32 cosTheta_O cosTheta_i))
(- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) v)))) (*.f32 cosTheta_O cosTheta_i))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i)) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_i))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i)) v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) v))) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) v))) sinTheta_i)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (pow v 2))
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) v))) (*.f32 v v))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (*.f32 v v))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (*.f32 v v))
(* -1 (* cosTheta_O cosTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 cosTheta_O cosTheta_i))
(- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (*.f32 cosTheta_O cosTheta_i))
(- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (*.f32 cosTheta_O cosTheta_i))
(* -1 (* cosTheta_O cosTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 cosTheta_O cosTheta_i))
(- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i))
(- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)))
(* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_O))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_O))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))))
(* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))))
(*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))) (neg.f32 cosTheta_i))
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i sinTheta_i))))
(*.f32 sinTheta_O (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) v)))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i sinTheta_i))))
(*.f32 sinTheta_O (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) v)))
(* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i sinTheta_i))))
(*.f32 sinTheta_O (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) v)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) v) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) v) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) v) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) v) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) v) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) v) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) sinTheta_O)))
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O))))
(*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))) v)))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O))))
(*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))) v)))
(* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) v)) (* cosTheta_O (* cosTheta_i sinTheta_O))))
(*.f32 sinTheta_i (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))) v)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O))) v) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O))) v) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O))) v) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O))) v) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O))) v) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O))) v) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) sinTheta_i))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) v)
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) v)
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) v)
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))
(* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))
(*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))
(+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))
(+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))
(/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i))) (neg.f32 v))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))
(/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i))) (neg.f32 v))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))
(/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i))) (neg.f32 v))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))
(/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i))) (neg.f32 v))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))
(/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i))) (neg.f32 v))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))
(/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i))) (neg.f32 v))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))
(/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i))) (neg.f32 v))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) v))
(/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i))) (neg.f32 v))
(/ (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))) v)
(*.f32 cosTheta_O (/.f32 (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_i) v))
(/ (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))) v)
(*.f32 cosTheta_O (/.f32 (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_i) v))
(/ (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))) v)
(*.f32 cosTheta_O (/.f32 (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_i) v))
(/ (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))) v)
(*.f32 cosTheta_O (/.f32 (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_i) v))
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) v))
(/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_O))) (neg.f32 v))
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) v))
(/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_O))) (neg.f32 v))
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) v))
(/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_O))) (neg.f32 v))
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) v))
(/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_O))) (neg.f32 v))
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) v))
(/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_O))) (neg.f32 v))
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) v))
(/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_O))) (neg.f32 v))
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) v))
(/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_O))) (neg.f32 v))
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) v))
(/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_O))) (neg.f32 v))
(/ (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))) v)
(/.f32 (*.f32 cosTheta_i (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O)) v)
(/ (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))) v)
(/.f32 (*.f32 cosTheta_i (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O)) v)
(/ (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))) v)
(/.f32 (*.f32 cosTheta_i (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O)) v)
(/ (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))) v)
(/.f32 (*.f32 cosTheta_i (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O)) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 v v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 v v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (*.f32 v v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 (*.f32 v v) sinTheta_O))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 (*.f32 v v) sinTheta_O))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 sinTheta_O sinTheta_O)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 (*.f32 v v) sinTheta_O))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 sinTheta_O sinTheta_O)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (*.f32 v v)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 (*.f32 v v) sinTheta_O))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v sinTheta_O))) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v sinTheta_O))) sinTheta_O)))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 v v)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 v v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 v v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (*.f32 v v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 sinTheta_i sinTheta_i)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 sinTheta_i sinTheta_i)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (*.f32 v v)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v (*.f32 v v)))) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 v v)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_i)))) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v (*.f32 v v)))) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 v v)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v sinTheta_i)))) sinTheta_i)))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (*.f32 v v)))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 3))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) v))) (*.f32 v (*.f32 v v)))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))) (pow v 3))
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))))) (*.f32 v (*.f32 v v)))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))) (pow v 3))
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))))) (*.f32 v (*.f32 v v)))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/.f32 (-.f32 (+.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v)) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_i (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_i) (neg.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_i (-.f32 (*.f32 sinTheta_i (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 sinTheta_i (-.f32 (-.f32 (*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/3 binary32)) (/.f32 (*.f32 sinTheta_O (neg.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) v)) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 cosTheta_i (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) v)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 cosTheta_i (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O (+.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 cosTheta_i (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))))) v)) v)) v)) (neg.f32 v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 1/2 (* cosTheta_O v))
(*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v)
(* v (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O)))
(*.f32 v (+.f32 (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 sinTheta_O sinTheta_i)) v) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(* v (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_O))))
(*.f32 v (+.f32 (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)))))
(* v (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* cosTheta_O (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_O)))))
(*.f32 v (+.f32 (/.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 sinTheta_O sinTheta_i)) v) (+.f32 (+.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 (*.f32 cosTheta_O (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 (*.f32 cosTheta_O (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))))))) (*.f32 v (*.f32 v v))))))
(* 1/2 (* cosTheta_O v))
(*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v)
(* -1 (* v (+ (* -1/2 cosTheta_O) (* 1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))))
(*.f32 (+.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (neg.f32 v))
(* -1 (* v (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v))) v)) (* -1/2 cosTheta_O))))
(*.f32 (-.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(* -1 (* v (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (* 1/2 (/ (+ (* cosTheta_O (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (+ (* cosTheta_O (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_O (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v))) v)) (* -1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* -1/2 cosTheta_O))))
(*.f32 (-.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O #s(literal -1/2 binary32)) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (*.f32 cosTheta_O (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))))) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 cosTheta_O (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))))) v)) v)) v)) (neg.f32 v))
(/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(-.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_O (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) (neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (*.f32 cosTheta_O (/.f32 sinTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_O (-.f32 (*.f32 sinTheta_O (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 sinTheta_O (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 sinTheta_i (neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))) (/.f32 (*.f32 cosTheta_O (/.f32 sinTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_O (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ cosTheta_O (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_O) v))))
(+.f32 cosTheta_O (*.f32 sinTheta_i (-.f32 (*.f32 sinTheta_i (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O sinTheta_O) v))))
(+ cosTheta_O (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_O 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_O 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_O) v))))
(+.f32 cosTheta_O (*.f32 sinTheta_i (-.f32 (*.f32 sinTheta_i (+.f32 (*.f32 (-.f32 (*.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) v)) #s(literal -1/3 binary32)) (/.f32 (*.f32 sinTheta_O (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) #s(literal -1/2 binary32))) v)) (neg.f32 sinTheta_i)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v)))) (/.f32 (*.f32 cosTheta_O sinTheta_O) v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_O (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(- (+ cosTheta_O (* -1 (/ (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))
(+.f32 cosTheta_O (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(- (+ cosTheta_O (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3)))) (+ (* -1 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))
(-.f32 (-.f32 cosTheta_O (/.f32 (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) #s(literal -1/3 binary32))) (*.f32 v (*.f32 v v)))) (-.f32 (+.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_O (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ cosTheta_O (* -1 (/ (- (+ (* -1 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)))
(-.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v))
(+ cosTheta_O (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (+ (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (/ (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) (+ (* -1 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)))
(-.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 (+.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) v)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))) v)) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32))) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (neg.f32 v)) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_O (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(+ cosTheta_O (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_i) v))))
(+.f32 cosTheta_O (*.f32 sinTheta_O (-.f32 (*.f32 sinTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (*.f32 cosTheta_O (/.f32 sinTheta_i v)))))
(+ cosTheta_O (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_O (pow sinTheta_i 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_O sinTheta_i) v))))
(+.f32 cosTheta_O (*.f32 sinTheta_O (-.f32 (*.f32 sinTheta_O (neg.f32 (+.f32 (*.f32 sinTheta_O (-.f32 (*.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) v)) #s(literal -1/3 binary32)) (/.f32 (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) #s(literal -1/2 binary32))) v))) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) #s(literal -1/2 binary32))))) (*.f32 cosTheta_O (/.f32 sinTheta_i v)))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))) (/ sinTheta_O v))))
(+.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 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v))))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))
(+ 1 (+ (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))
(+.f32 #s(literal 1 binary32) (+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) (/.f32 #s(literal 1/2 binary32) v))))
(+ 1 (+ (* 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))) (/ (* sinTheta_O sinTheta_i) v))))
(+.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) (/.f32 #s(literal 1/2 binary32) v))) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) v)) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))))
1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v) (*.f32 sinTheta_O sinTheta_i)) v))
(+ 1 (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) v)) v)) v))
1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) #s(literal 1 binary32))
(+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)) (/.f32 sinTheta_i v))))
(+ 1 (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))) (/ sinTheta_i v))))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (+.f32 (/.f32 sinTheta_i v) (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)))))))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v))))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
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1/2
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(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
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(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
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1/2
#s(literal 1/2 binary32)
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(+.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32))))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
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2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))))))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(*.f32 (neg.f32 (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(*.f32 (neg.f32 (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(*.f32 (neg.f32 (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(*.f32 (neg.f32 (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(*.f32 (neg.f32 (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(*.f32 (neg.f32 (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(*.f32 (neg.f32 (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (/ (* cosTheta_O (- (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) cosTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (- (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* -1 (/ (* cosTheta_i (- (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) cosTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_i (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_i (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_i (- (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))) (* -1 cosTheta_O))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_i (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i v)))) cosTheta_O)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal 4 binary32))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal 4 binary32))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) sinTheta_O)))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal 4 binary32))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 (*.f32 sinTheta_i (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 (*.f32 sinTheta_i (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 (*.f32 sinTheta_i (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) (pow.f32 v #s(literal 4 binary32))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 (*.f32 sinTheta_i (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) sinTheta_i)))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (+ 1/2 (* -1 (/ (+ (* -1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))) (pow v 2))
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1/2 binary32)) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/4 binary32))) v)) (*.f32 v v))
(/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))) (pow v 2))
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1/2 binary32)) (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) v)) #s(literal -1/12 binary32)) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v)) v)) (*.f32 v v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i v)))

eval300.0ms (1.4%)

Compiler

Compiled 77770 to 4882 computations (93.7% saved)

prune377.0ms (1.8%)

Pruning

51 alts after pruning (50 fresh and 1 done)

PrunedKeptTotal
New2609452654
Fresh23528
Picked415
Done000
Total2636512687
Accuracy
99.9%
Counts
2687 → 51
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.3%
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) v) #s(literal 2 binary32))
98.3%
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) (*.f32 v #s(literal 2 binary32))))
98.5%
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32)))))
98.5%
(/.f32 (/.f32 (/.f32 cosTheta_i (*.f32 v v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) #s(literal 2 binary32))
93.3%
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v)))
95.9%
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
95.8%
(/.f32 (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 v (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
98.4%
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 v))
98.7%
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
61.0%
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
67.3%
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
61.0%
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
98.4%
(/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) (neg.f32 v)) v) (*.f32 v (*.f32 cosTheta_i (neg.f32 cosTheta_O)))) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
98.4%
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
98.5%
(/.f32 (/.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_O)) (*.f32 (*.f32 v v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))))
95.7%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v v) (+.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (/.f32 #s(literal -1 binary32) v)) (*.f32 v (*.f32 cosTheta_i cosTheta_O))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
98.7%
(/.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
98.7%
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
54.7%
(/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 sinTheta_i sinTheta_i))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
55.4%
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓55.4%
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
98.7%
(/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1 binary32) v)))
94.0%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
55.5%
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
93.8%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) v)))
98.4%
(*.f32 (/.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) v) (/.f32 v #s(literal -1/2 binary32))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.5%
(*.f32 (/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
94.3%
(*.f32 (/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (exp.f32 (*.f32 (log.f32 (/.f32 v (/.f32 cosTheta_i v))) #s(literal -1 binary32))))
93.2%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v))))
98.4%
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.5%
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))
98.5%
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
98.7%
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) v) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.2%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1/2 binary32)) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/4 binary32))) v)) (*.f32 v v)))
98.1%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
▶98.3%
(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
98.5%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_O) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (/.f32 cosTheta_i v) v))
55.8%
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
55.4%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
98.4%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
53.2%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
53.2%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))) #s(literal -1/2 binary32)) v))
98.9%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
▶98.9%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
98.7%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))))
98.7%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal -1 binary32))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
55.4%
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
▶98.4%
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
55.4%
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
▶55.3%
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
89.1%
(exp.f32 (*.f32 (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (log.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) #s(literal -1 binary32)))
Compiler

Compiled 3324 to 2147 computations (35.4% saved)

simplify251.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓cost-diff0
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
✓cost-diff0
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) v)
✓cost-diff0
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) v) #s(literal 2 binary32))
✓cost-diff32
(neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)))
✓cost-diff64
(+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))
✓cost-diff64
(-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))
✓cost-diff64
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
✓cost-diff0
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓cost-diff0
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
✓cost-diff0
(/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓cost-diff0
(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
✓cost-diff0
(/.f32 cosTheta_i v)
✓cost-diff0
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓cost-diff0
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))
✓cost-diff64
(*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))))
✓cost-diff64
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
✓cost-diff256
(+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))
Rules
5478×*-lowering-*.f32
5478×*-lowering-*.f64
2780×/-lowering-/.f32
2780×/-lowering-/.f64
1700×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067690
1205638
2768622
33500591
08464591
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (- 0 (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))))
(- 0 (* cosTheta_i cosTheta_O))
0
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))))
(/ -1 v)
-1
v
(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))
(/ (/ 1/2 v) (sinh (/ 1 v)))
(/ 1/2 v)
1/2
(sinh (/ 1 v))
(/ 1 v)
1
(+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))
(* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))
sinTheta_i
(+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))
(/ sinTheta_O v)
sinTheta_O
(* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))
(+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))
(/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v)))
(* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))))
1/6
(* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))
(* sinTheta_O (* sinTheta_O sinTheta_O))
(* sinTheta_O sinTheta_O)
(* v (* v v))
(* v v)
(/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))
(* 1/2 (* sinTheta_O sinTheta_O))
(* 1/2 (* cosTheta_O (/ cosTheta_i v)))
1/2
(* cosTheta_O (/ cosTheta_i v))
cosTheta_O
(/ cosTheta_i v)
cosTheta_i
v
(* (/ cosTheta_O (* (sinh (/ 1 v)) 2)) (/ (/ cosTheta_i v) v))
(/ cosTheta_O (* (sinh (/ 1 v)) 2))
cosTheta_O
(* (sinh (/ 1 v)) 2)
(sinh (/ 1 v))
(/ 1 v)
1
v
2
(/ (/ cosTheta_i v) v)
(/ cosTheta_i v)
cosTheta_i
(* (neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))) (/ 1 (* (sinh (/ 1 v)) (* v (/ v 1/2)))))
(neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O)))
(- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))
(/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v)
(* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2))))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2))
(* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O)))
(* sinTheta_i (* sinTheta_i sinTheta_O))
(/ v -1/2)
v
-1/2
(/ 1 (* (sinh (/ 1 v)) (* v (/ v 1/2))))
1
(* (sinh (/ 1 v)) (* v (/ v 1/2)))
(sinh (/ 1 v))
(/ 1 v)
(* v (/ v 1/2))
(/ v 1/2)
1/2
(/ (/ (/ (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (* v (exp (/ sinTheta_i (/ v sinTheta_O))))) v) 2)
(/ (/ (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (* v (exp (/ sinTheta_i (/ v sinTheta_O))))) v)
(/ (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (* v (exp (/ sinTheta_i (/ v sinTheta_O)))))
(/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(sinh (/ 1 v))
(/ 1 v)
1
v
(* v (exp (/ sinTheta_i (/ v sinTheta_O))))
(exp (/ sinTheta_i (/ v sinTheta_O)))
(/ sinTheta_i (/ v sinTheta_O))
sinTheta_i
(/ v sinTheta_O)
sinTheta_O
2
Outputs
(* (- 0 (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))))
(/.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 1/6 binary32))) v) #s(literal 1/2 binary32))))))))
(- 0 (* cosTheta_i cosTheta_O))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))
0
#s(literal 0 binary32)
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 1/6 binary32))) v) #s(literal 1/2 binary32))))))))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)
v
(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 1/6 binary32))) v) #s(literal 1/2 binary32))))))))
(/ (/ 1/2 v) (sinh (/ 1 v)))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
(+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 1/6 binary32))) v) #s(literal 1/2 binary32)))))))
(* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))
(*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 1/6 binary32))) v) #s(literal 1/2 binary32))))))
sinTheta_i
(+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))
(+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 1/6 binary32))) v) #s(literal 1/2 binary32)))))
(/ sinTheta_O v)
(/.f32 sinTheta_O v)
sinTheta_O
(* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))
(*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 1/6 binary32))) v) #s(literal 1/2 binary32))))
(+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))
(*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i #s(literal 1/6 binary32))) v) #s(literal 1/2 binary32)))
(/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v)))
(/.f32 (*.f32 sinTheta_i (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) v)) (*.f32 v v))
(* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))))
(*.f32 sinTheta_i (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))
1/6
#s(literal 1/6 binary32)
(* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))
(*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))
(* sinTheta_O (* sinTheta_O sinTheta_O))
(*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))
(* sinTheta_O sinTheta_O)
(*.f32 sinTheta_O sinTheta_O)
(* v (* v v))
(*.f32 v (*.f32 v v))
(* v v)
(*.f32 v v)
(/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* 1/2 (* sinTheta_O sinTheta_O))
(*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))
(* 1/2 (* cosTheta_O (/ cosTheta_i v)))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v)
1/2
#s(literal 1/2 binary32)
(* cosTheta_O (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cosTheta_O
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
v
(* (/ cosTheta_O (* (sinh (/ 1 v)) 2)) (/ (/ cosTheta_i v) v))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v #s(literal 2 binary32)))
(/ cosTheta_O (* (sinh (/ 1 v)) 2))
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
cosTheta_O
(* (sinh (/ 1 v)) 2)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
v
2
#s(literal 2 binary32)
(/ (/ cosTheta_i v) v)
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
(* (neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))) (/ 1 (* (sinh (/ 1 v)) (* v (/ v 1/2)))))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (/.f32 (*.f32 sinTheta_O (*.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 v #s(literal -1/2 binary32))) #s(literal 1 binary32)) sinTheta_i)) v) #s(literal -1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 v v) #s(literal -1/2 binary32))))
(neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 v #s(literal -1/2 binary32))) #s(literal 1 binary32)) sinTheta_i)) v)))
(- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (/.f32 (*.f32 sinTheta_O (*.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 v #s(literal -1/2 binary32))) #s(literal 1 binary32)) sinTheta_i)) v) #s(literal -1 binary32)))
(/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v)
(/.f32 (*.f32 cosTheta_i (*.f32 (*.f32 cosTheta_O sinTheta_O) (*.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 v #s(literal -1/2 binary32))) #s(literal 1 binary32)) sinTheta_i))) v)
(* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2))))
(*.f32 cosTheta_i (*.f32 (*.f32 cosTheta_O sinTheta_O) (*.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 v #s(literal -1/2 binary32))) #s(literal 1 binary32)) sinTheta_i)))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))
(*.f32 sinTheta_O (*.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 v #s(literal -1/2 binary32))) #s(literal 1 binary32)) sinTheta_i))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2))
(/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) (/.f32 v #s(literal -1/2 binary32)))
(* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O)))
(*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))
(* sinTheta_i (* sinTheta_i sinTheta_O))
(*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))
(/ v -1/2)
(/.f32 v #s(literal -1/2 binary32))
v
-1/2
#s(literal -1/2 binary32)
(/ 1 (* (sinh (/ 1 v)) (* v (/ v 1/2))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v #s(literal 1/2 binary32))))
1
#s(literal 1 binary32)
(* (sinh (/ 1 v)) (* v (/ v 1/2)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32)))
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(* v (/ v 1/2))
(/.f32 (*.f32 v v) #s(literal 1/2 binary32))
(/ v 1/2)
(/.f32 v #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(/ (/ (/ (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (* v (exp (/ sinTheta_i (/ v sinTheta_O))))) v) 2)
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 v v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(/ (/ (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (* v (exp (/ sinTheta_i (/ v sinTheta_O))))) v)
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (*.f32 v v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(/ (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (* v (exp (/ sinTheta_i (/ v sinTheta_O)))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
v
(* v (exp (/ sinTheta_i (/ v sinTheta_O))))
(*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(exp (/ sinTheta_i (/ v sinTheta_O)))
(exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
(/ sinTheta_i (/ v sinTheta_O))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
sinTheta_i
(/ v sinTheta_O)
(/.f32 v sinTheta_O)
sinTheta_O
2
#s(literal 2 binary32)

localize366.0ms (1.7%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.4%
(/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓accuracy99.3%
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) v)
✓accuracy99.2%
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
✓accuracy97.5%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy99.5%
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
✓accuracy99.2%
(/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32)))))
✓accuracy98.7%
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))
✓accuracy97.5%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy99.5%
(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
✓accuracy99.3%
(/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓accuracy99.2%
(/.f32 (/.f32 cosTheta_i v) v)
✓accuracy97.5%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy100.0%
(/.f32 cosTheta_i v)
✓accuracy99.9%
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
✓accuracy99.7%
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
✓accuracy99.0%
(*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))))
✓accuracy99.0%
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓accuracy98.9%
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v)))
✓accuracy97.5%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Results
252.0ms256×0valid
Compiler

Compiled 799 to 68 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-mult: 41.0ms (41.2% of total)
ival-div: 37.0ms (37.2% of total)
ival-add: 5.0ms (5% of total)
ival-sub: 4.0ms (4% of total)
...c/correct-round.rkt:119:19: 4.0ms (4% of total)
ival-sinh: 4.0ms (4% of total)
ival-exp: 2.0ms (2% of total)
const: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series438.0ms (2%)

Counts
24 → 864
Calls
Call 1
Inputs
#<alt (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))>
#<alt (* (- 0 (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))))>
#<alt (* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))))>
#<alt (- 0 (* cosTheta_i cosTheta_O))>
#<alt (* 1/2 (* cosTheta_O (/ cosTheta_i v)))>
#<alt (* cosTheta_O (/ cosTheta_i v))>
#<alt (/ cosTheta_i v)>
#<alt (* (/ cosTheta_O (* (sinh (/ 1 v)) 2)) (/ (/ cosTheta_i v) v))>
#<alt (/ cosTheta_O (* (sinh (/ 1 v)) 2))>
#<alt (* (sinh (/ 1 v)) 2)>
#<alt (sinh (/ 1 v))>
#<alt (* (neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))) (/ 1 (* (sinh (/ 1 v)) (* v (/ v 1/2)))))>
#<alt (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))>
#<alt (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))>
#<alt (neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O)))>
#<alt (/ (/ (/ (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (* v (exp (/ sinTheta_i (/ v sinTheta_O))))) v) 2)>
#<alt (/ (/ (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (* v (exp (/ sinTheta_i (/ v sinTheta_O))))) v)>
#<alt (/ (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (* v (exp (/ sinTheta_i (/ v sinTheta_O)))))>
#<alt (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))>
#<alt (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v)))>
#<alt (/ (/ 1/2 v) (sinh (/ 1 v)))>
#<alt (/ (/ cosTheta_i v) v)>
#<alt (* (sinh (/ 1 v)) (* v (/ v 1/2)))>
#<alt (/ 1 (* (sinh (/ 1 v)) (* v (/ v 1/2))))>
Outputs
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))>
#<alt (* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))>
#<alt (* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))>
#<alt (* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))>
#<alt (* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))>
#<alt (* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))>
#<alt (* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))>
#<alt (/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))>
#<alt (/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))>
#<alt (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))>
#<alt (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))>
#<alt (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))>
#<alt (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
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#<alt (* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))>
#<alt (* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))>
#<alt (* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))>
#<alt (* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))>
#<alt (* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))>
#<alt (* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))>
#<alt (* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))>
#<alt (* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_O cosTheta_i))>
#<alt (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))>
#<alt (- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))>
#<alt (- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))>
#<alt (* -1 (* cosTheta_O cosTheta_i))>
#<alt (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))>
#<alt (- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))>
#<alt (- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (pow v 2))>
#<alt (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))>
#<alt (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))>
#<alt (* -1 (* cosTheta_O cosTheta_i))>
#<alt (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))>
#<alt (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (* -1 (* cosTheta_O cosTheta_i))>
#<alt (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))>
#<alt (- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))>
#<alt (- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))>
#<alt (* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))>
#<alt (* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))>
#<alt (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))>
#<alt (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))>
#<alt (* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))>
#<alt (* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))>
#<alt (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))>
#<alt (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))>
#<alt (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)>
#<alt (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)>
#<alt (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))>
#<alt (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))>
#<alt (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))>
#<alt (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))>
#<alt (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))>
#<alt (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* cosTheta_O cosTheta_i) (* sinTheta_i (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))>
#<alt (+ (* cosTheta_O cosTheta_i) (* sinTheta_i (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))>
#<alt (* (pow sinTheta_i 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))>
#<alt (+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))>
#<alt (* (pow sinTheta_O 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))>
#<alt (/ (- (* v (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))>
#<alt (/ (- (* v (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (- (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))>
#<alt (- (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (/ (- (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (/ (- (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (* cosTheta_O cosTheta_i)) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (/ (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))))) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (- (+ (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v) (/ (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v) (+ (/ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) v) (/ (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) v))) (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
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#<alt (* v (- (+ (* -1 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))>
#<alt (* v (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* cosTheta_O cosTheta_i)) (+ (* -1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i v))>
#<alt (* -1 (* v (+ (* -1 (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))>
#<alt (* -1 (* v (- (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4)))) (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))>
#<alt (* -1 (* v (- (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6)))) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))))))))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (/ cosTheta_i (pow v 2))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))>
#<alt (* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))>
#<alt (* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1/2 v)>
#<alt (/ (- 1/2 (* 1/12 (/ 1 (pow v 2)))) v)>
#<alt (/ (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2)))) v)>
#<alt (/ (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6))))) v)>
#<alt (/ 1/2 v)>
#<alt (* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) 1/2) v))>
#<alt (* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) (+ 1/2 (/ 7/720 (pow v 4)))) v))>
#<alt (* -1 (/ (- (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))) (+ 1/2 (/ 7/720 (pow v 4)))) v))>
Calls

216 calls:

TimeVariablePointExpression
263.0ms
sinTheta_i
@-inf
(* (- 0 (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))))
39.0ms
sinTheta_i
@-inf
(* (neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))) (/ 1 (* (sinh (/ 1 v)) (* v (/ v 1/2)))))
11.0ms
sinTheta_O
@inf
(* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))))
11.0ms
cosTheta_i
@0
(* (- 0 (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))))
6.0ms
sinTheta_i
@inf
(/ (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (* v (exp (/ sinTheta_i (/ v sinTheta_O)))))

rewrite395.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
7218×/-lowering-/.f32
7218×/-lowering-/.f64
3958×*-lowering-*.f32
3958×*-lowering-*.f64
1892×frac-2neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067349
1342318
22714315
09278315
Stop Event
1×iter limit
1×node limit
Counts
24 → 1459
Calls
Call 1
Inputs
(+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))
(* (- 0 (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))))
(* (/ -1 v) (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))))
(- 0 (* cosTheta_i cosTheta_O))
(* 1/2 (* cosTheta_O (/ cosTheta_i v)))
(* cosTheta_O (/ cosTheta_i v))
(/ cosTheta_i v)
(* (/ cosTheta_O (* (sinh (/ 1 v)) 2)) (/ (/ cosTheta_i v) v))
(/ cosTheta_O (* (sinh (/ 1 v)) 2))
(* (sinh (/ 1 v)) 2)
(sinh (/ 1 v))
(* (neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))) (/ 1 (* (sinh (/ 1 v)) (* v (/ v 1/2)))))
(- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))
(+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))
(neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O)))
(/ (/ (/ (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (* v (exp (/ sinTheta_i (/ v sinTheta_O))))) v) 2)
(/ (/ (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (* v (exp (/ sinTheta_i (/ v sinTheta_O))))) v)
(/ (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))) (* v (exp (/ sinTheta_i (/ v sinTheta_O)))))
(/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))
(/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v)))
(/ (/ 1/2 v) (sinh (/ 1 v)))
(/ (/ cosTheta_i v) v)
(* (sinh (/ 1 v)) (* v (/ v 1/2)))
(/ 1 (* (sinh (/ 1 v)) (* v (/ v 1/2))))
Outputs
(+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))
(+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))
(fma.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))
(fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))
(fma.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))
(fma.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (/.f32 #s(literal 1/6 binary32) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))
(fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))
(fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))
(fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_O) v) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))
(fma.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))
(fma.f32 (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 v (*.f32 v v)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))
(fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))
(fma.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v)) (/.f32 #s(literal 1/6 binary32) v) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (*.f32 sinTheta_O (*.f32 sinTheta_O #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))
(fma.f32 (*.f32 #s(literal 1/6 binary32) sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v)))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))
(fma.f32 (*.f32 #s(literal 1/6 binary32) sinTheta_i) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))
(fma.f32 (*.f32 sinTheta_O #s(literal 1/2 binary32)) (*.f32 sinTheta_O (/.f32 #s(literal 1 binary32) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))
(fma.f32 (*.f32 sinTheta_O #s(literal 1/2 binary32)) (/.f32 sinTheta_O (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))
(fma.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))
(fma.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) v)) (/.f32 #s(literal 1 binary32) (*.f32 v v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))
(fma.f32 (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))
(fma.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v))) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))
(fma.f32 (/.f32 (*.f32 sinTheta_O #s(literal 1/2 binary32)) v) (/.f32 sinTheta_O v) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))))
(fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) v) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))
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(*.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (*.f32 cosTheta_i cosTheta_O))))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (*.f32 v v) #s(literal 1/2 binary32))) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (*.f32 cosTheta_i cosTheta_O)) (/.f32 v #s(literal 1/2 binary32))))
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(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32)) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (*.f32 cosTheta_i cosTheta_O)))
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(+.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (*.f32 cosTheta_i cosTheta_O)) (+.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)))
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(fma.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))) v)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 cosTheta_i (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32))))) (/.f32 #s(literal 1 binary32) v)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 cosTheta_i (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32))))) v) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 cosTheta_O (neg.f32 cosTheta_i) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))) v)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))) v) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 #s(literal -1 binary32) (*.f32 cosTheta_i cosTheta_O) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 (neg.f32 cosTheta_O) cosTheta_i (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v))
(fma.f32 (neg.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32))))))) (/.f32 #s(literal -1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 (neg.f32 cosTheta_i) cosTheta_O (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v))
(fma.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))) v) (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))
(-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (*.f32 cosTheta_i cosTheta_O))
(-.f32 (+.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) #s(literal 0 binary32)) (*.f32 cosTheta_i cosTheta_O))
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(fma.f32 sinTheta_i sinTheta_O (/.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) v) #s(literal -2 binary32)))
(fma.f32 sinTheta_O sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) v) #s(literal -2 binary32)))
(fma.f32 sinTheta_O (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) v) #s(literal -2 binary32)) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 (/.f32 sinTheta_O v) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) #s(literal -2 binary32)) (*.f32 sinTheta_i sinTheta_O))
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(fma.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 v #s(literal -1/2 binary32))) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (*.f32 sinTheta_O (/.f32 #s(literal -1/2 binary32) v)) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 sinTheta_O (/.f32 v #s(literal -1/2 binary32))) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal -1/2 binary32) v) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) v) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal -2 binary32)) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 (/.f32 #s(literal -1/2 binary32) v) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)))) (/.f32 #s(literal 1/2 binary32) v) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) v) #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)) sinTheta_O (*.f32 sinTheta_i sinTheta_O))
(fma.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) (/.f32 sinTheta_O #s(literal -2 binary32)) (*.f32 sinTheta_i sinTheta_O))
(fma.f32 (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) #s(literal 1 binary32)) (/.f32 #s(literal -1/2 binary32) v) (*.f32 sinTheta_i sinTheta_O))
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(*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32))))
(*.f32 sinTheta_O (+.f32 (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)) sinTheta_i))
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(+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v)) (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))))
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(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))))
(fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)))
(-.f32 #s(literal 0 binary32) (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (*.f32 cosTheta_i cosTheta_O)))
(-.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))
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(*.f32 #s(literal -1 binary32) (*.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (*.f32 cosTheta_i cosTheta_O)) #s(literal 1 binary32)))
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(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(*.f32 (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(neg.f32 (/.f32 (/.f32 cosTheta_i (neg.f32 v)) v))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 v v) cosTheta_i)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 v v) cosTheta_i) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 v)) (/.f32 (/.f32 cosTheta_i (neg.f32 v)) v))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 v v))) (/.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (*.f32 v v))))
(/.f32 cosTheta_i (*.f32 v v))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 v cosTheta_i) (neg.f32 v)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 v v) cosTheta_i)))
(/.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (/.f32 v cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v v) cosTheta_i))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (/.f32 v cosTheta_i) (neg.f32 v))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 v v) cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 v cosTheta_i) (neg.f32 v)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 v v)) (*.f32 cosTheta_i #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v v) (*.f32 cosTheta_i #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v v) (*.f32 (neg.f32 cosTheta_i) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 v v)) (*.f32 (neg.f32 cosTheta_i) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (/.f32 cosTheta_i v) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 v) (*.f32 (/.f32 cosTheta_i v) #s(literal -1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_i v) v)
(/.f32 (/.f32 cosTheta_i v) (neg.f32 (neg.f32 v)))
(/.f32 (/.f32 cosTheta_i (neg.f32 v)) (neg.f32 v))
(/.f32 (/.f32 cosTheta_i (neg.f32 v)) (neg.f32 (neg.f32 (neg.f32 v))))
(/.f32 (neg.f32 cosTheta_i) (-.f32 #s(literal 0 binary32) (*.f32 v v)))
(/.f32 (*.f32 cosTheta_i #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 v v)))
(/.f32 (*.f32 cosTheta_i #s(literal 1 binary32)) (*.f32 v v))
(/.f32 (*.f32 (neg.f32 cosTheta_i) #s(literal -1 binary32)) (*.f32 v v))
(/.f32 (*.f32 (neg.f32 cosTheta_i) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (*.f32 v v)))
(/.f32 (*.f32 (/.f32 cosTheta_i v) #s(literal 1 binary32)) v)
(/.f32 (neg.f32 (neg.f32 cosTheta_i)) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 v v))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) #s(literal -1 binary32)) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 cosTheta_i #s(literal -1 binary32))) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 v v))))
(/.f32 (neg.f32 (*.f32 cosTheta_i #s(literal 1 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 v v)))
(/.f32 (neg.f32 (*.f32 (/.f32 cosTheta_i v) #s(literal 1 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_i) #s(literal -1 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 v v)))
(/.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_i) #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 v v))))
(/.f32 (neg.f32 (*.f32 (/.f32 cosTheta_i v) #s(literal -1 binary32))) (neg.f32 (neg.f32 v)))
(*.f32 cosTheta_i (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(*.f32 #s(literal 1 binary32) (/.f32 cosTheta_i (*.f32 v v)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i v))
(*.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (*.f32 (/.f32 cosTheta_i v) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (pow.f32 (/.f32 v (neg.f32 cosTheta_i)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(exp.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32)))) #s(literal -1 binary32))))
(pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32))) #s(literal 1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32))) #s(literal -1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 v v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v #s(literal -1/2 binary32))) #s(literal -1 binary32))
(/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 v v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (neg.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 (neg.f32 (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(/.f32 (neg.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) #s(literal 1/2 binary32))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)) #s(literal 1/2 binary32))
(/.f32 (*.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(/.f32 (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)) #s(literal -1/2 binary32))
(/.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32))) #s(literal 2 binary32))
(/.f32 (*.f32 (*.f32 v v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32))
(/.f32 (neg.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))) #s(literal -1 binary32))
(/.f32 (neg.f32 (*.f32 (*.f32 v v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -1 binary32))
(/.f32 (neg.f32 (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) #s(literal -1/2 binary32))
(/.f32 (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))) #s(literal -1/2 binary32))
(/.f32 (neg.f32 (*.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -2 binary32))
(/.f32 (neg.f32 (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 (neg.f32 (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v))) #s(literal 1/2 binary32))
(/.f32 (neg.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32)))) #s(literal -2 binary32))
(/.f32 (neg.f32 (*.f32 (*.f32 v v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1/2 binary32))
(*.f32 v (*.f32 (/.f32 v #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32)))
(*.f32 (/.f32 v #s(literal 1/2 binary32)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) v)
(*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v #s(literal 1/2 binary32)))
(*.f32 (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) #s(literal 2 binary32))
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32)))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32))) #s(literal -1 binary32))
(pow.f32 (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v #s(literal -1/2 binary32)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32))))) #s(literal -1 binary32))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v #s(literal -1/2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v #s(literal -1/2 binary32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)
(/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v))
(/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 v v) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 v #s(literal 1/2 binary32)))
(/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (neg.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)))))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) (/.f32 v #s(literal -1/2 binary32)))
(/.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 v #s(literal -1/2 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32)))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)) #s(literal 1/2 binary32))
(*.f32 (pow.f32 (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) #s(literal -1 binary32)) #s(literal 1/2 binary32))

simplify455.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
5234×*-lowering-*.f32
5234×*-lowering-*.f64
2546×+-lowering-+.f64
2546×+-lowering-+.f32
2378×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0137720952
1514119520
0812919520
Stop Event
1×iter limit
1×node limit
Counts
864 → 864
Calls
Call 1
Inputs
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))
(+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))
(+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))
(* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))
(* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
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(* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
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(* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
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(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* v (+ (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -1/2 (* v (+ (* -216 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -3 (/ (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* sinTheta_O sinTheta_i))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (* -1/2 (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 3))
(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3))
(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -216 (/ (* cosTheta_O (* cosTheta_i (pow v 4))) (* (pow sinTheta_O 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -3 (/ (* v (+ (* -108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O)) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 4))) (* (pow sinTheta_O 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3))) (+ (* -1/2 (/ (+ (* -108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (pow sinTheta_i 3))
(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(* -1 (/ (+ (* -6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (+ (* -72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i))) sinTheta_i))) (pow sinTheta_i 3)))
(* -1 (/ (+ (* -6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -1/2 (+ (* -72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 1/2 (/ (+ (* -216 (/ (* cosTheta_O (* cosTheta_i (pow v 4))) (* (pow sinTheta_O 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* 3 (/ (* v (+ (* -72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O)) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 4))) (* (pow sinTheta_O 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_i))) sinTheta_i))) sinTheta_i))) (pow sinTheta_i 3)))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (pow v 4))
(/ (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* v (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow v 4))
(/ (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* v (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow v 4))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))
(* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))
(* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))
(* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))
(* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))
(* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))
(* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))
(* -1 (* cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))
(- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* -1 (* cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))
(- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (pow v 2))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))
(* -1 (* cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(* -1 (* cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))
(- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))
(* sinTheta_O sinTheta_i)
(* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))
(* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))
(* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(* sinTheta_O sinTheta_i)
(* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))
(* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))
(* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)
(/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)
(/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)
(* sinTheta_O sinTheta_i)
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(* sinTheta_O sinTheta_i)
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_i 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* (pow sinTheta_i 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(* (pow sinTheta_i 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_i 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* (pow sinTheta_i 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* (pow sinTheta_i 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_O 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* (pow sinTheta_O 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(* (pow sinTheta_O 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_O 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* (pow sinTheta_O 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* (pow sinTheta_O 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/ (- (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/ (- (* v (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/ (- (* v (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(- (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(- (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (- (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (- (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (* cosTheta_O cosTheta_i) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (* cosTheta_O cosTheta_i)) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (/ (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))))) v)
(/ (* cosTheta_O cosTheta_i) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (- (+ (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v) (/ (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v) (+ (/ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) v) (/ (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) v))) (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(+ (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(+ (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (* cosTheta_O cosTheta_i)) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (/ (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v)) (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(+ (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+ (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(+ (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* cosTheta_O (* cosTheta_i v))
(* v (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)))
(* v (- (+ (* -1 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(* v (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* cosTheta_O cosTheta_i)) (+ (* -1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))))
(* cosTheta_O (* cosTheta_i v))
(* -1 (* v (+ (* -1 (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))
(* -1 (* v (- (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4)))) (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))
(* -1 (* v (- (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6)))) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))))))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(/ cosTheta_i (pow v 2))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1/2 v)
(/ (- 1/2 (* 1/12 (/ 1 (pow v 2)))) v)
(/ (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2)))) v)
(/ (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6))))) v)
(/ 1/2 v)
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) 1/2) v))
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) (+ 1/2 (/ 7/720 (pow v 4)))) v))
(* -1 (/ (- (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))) (+ 1/2 (/ 7/720 (pow v 4)))) v))
Outputs
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))
(+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))
(+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))
(*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i))))
(* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))
(*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i))))
(* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))
(*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v)))) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v)))) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v)))) (neg.f32 sinTheta_i))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))))
(* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))))
(* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))
(*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) sinTheta_i) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))))
(* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))
(*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) sinTheta_i) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))))
(* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))
(*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) sinTheta_i) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_i) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))) (neg.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))
(* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_i) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))) (neg.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))
(* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_i) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))) (neg.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) v))) (*.f32 v (*.f32 v v)))
(/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) v))) (*.f32 v (*.f32 v v)))
(/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) v))) (*.f32 v (*.f32 v v)))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* v (+ (* -18 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) (pow.f32 sinTheta_i #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* v (+ (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* -1/2 (* v (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))))))
(*.f32 v (+.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) (pow.f32 sinTheta_i #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 5 binary32)) (pow.f32 sinTheta_i #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal -36 binary32)))))))
(* v (+ (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -1/2 (* v (+ (* -216 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -3 (/ (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* sinTheta_O sinTheta_i))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (* -1/2 (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))))))
(*.f32 v (+.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) (pow.f32 sinTheta_i #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 v (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -216 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 6 binary32)) (pow.f32 sinTheta_i #s(literal 6 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (+.f32 (/.f32 (*.f32 #s(literal -3 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 5 binary32)) (pow.f32 sinTheta_i #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal -36 binary32))) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal 72 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 6 binary32)) (pow.f32 sinTheta_i #s(literal 6 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 5 binary32)) (pow.f32 sinTheta_i #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal -36 binary32)))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))))) (*.f32 v (*.f32 v v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/6 binary32)))))) v)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 (*.f32 v (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_i (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_i) (neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 3))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v))) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))
(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(* -1 (/ (+ (* -6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (+ (* -72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O))) sinTheta_O))) (pow sinTheta_O 3)))
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(* -1 (/ (+ (* -6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -1/2 (+ (* -72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 1/2 (/ (+ (* -216 (/ (* cosTheta_O (* cosTheta_i (pow v 4))) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* 3 (/ (* v (+ (* -72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_i)) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 4))) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O))) sinTheta_O))) sinTheta_O))) (pow sinTheta_O 3)))
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(* -6 (/ v (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal -6 binary32) v) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* v (- (* 18 (/ v (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ 1 (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
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(* v (- (* v (+ (* -18 (/ v (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 18 (/ 1 (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 6 (/ 1 (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
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(* v (- (* v (+ (* v (- (* -18 (/ v (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 18 (/ 1 (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 18 (/ 1 (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 6 (/ 1 (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
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(/ -1/2 v)
(/.f32 #s(literal -1/2 binary32) v)
(/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) v)
(/ (- (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (+ 1/6 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))) 1/2) v)
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)))) #s(literal -1/2 binary32)) v)
(/ (- (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (+ 1/6 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))) (* 1/2 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ 1/6 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3))))) 1/2) v)
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(/ -1/2 v)
(/.f32 #s(literal -1/2 binary32) v)
(* -1 (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v))
(/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (neg.f32 v))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (- 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
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(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/2 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (- 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (+ (* 1/6 (* sinTheta_O sinTheta_i)) (+ (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))) v))
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(/ -1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(- (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(+.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_i (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_i (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_i (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_i (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) sinTheta_i)))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 (*.f32 v (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 (*.f32 v (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 (*.f32 v (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 (*.f32 sinTheta_O (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 (*.f32 sinTheta_O (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 (*.f32 sinTheta_O (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 (*.f32 sinTheta_O (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 (*.f32 v (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 (*.f32 v (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) sinTheta_O)))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (pow v 4))
(/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 v sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (pow.f32 v #s(literal 4 binary32)))
(/ (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* v (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow v 4))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 v (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))) (pow.f32 v #s(literal 4 binary32)))
(/ (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* v (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ (* cosTheta_O (* cosTheta_i v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow v 4))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 v (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))) (pow.f32 v #s(literal 4 binary32)))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (+.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (*.f32 #s(literal 1/12 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 v (*.f32 v v))))) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))))) v)) v)) (neg.f32 v))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v) cosTheta_O))
(* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))
(*.f32 (neg.f32 cosTheta_i) (+.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) (neg.f32 v)) cosTheta_O))
(* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))
(*.f32 (neg.f32 cosTheta_i) (+.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) (neg.f32 v)) cosTheta_O))
(* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))
(*.f32 (neg.f32 cosTheta_i) (+.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) (neg.f32 v)) cosTheta_O))
(* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))
(*.f32 (neg.f32 cosTheta_i) (+.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) (neg.f32 v)) cosTheta_O))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v) cosTheta_i))
(* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))
(*.f32 (neg.f32 cosTheta_O) (+.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) (neg.f32 v)) cosTheta_i))
(* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))
(*.f32 (neg.f32 cosTheta_O) (+.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) (neg.f32 v)) cosTheta_i))
(* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))
(*.f32 (neg.f32 cosTheta_O) (+.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) (neg.f32 v)) cosTheta_i))
(* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))
(*.f32 (neg.f32 cosTheta_O) (+.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) (neg.f32 v)) cosTheta_i))
(* -1 (* cosTheta_O cosTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (*.f32 cosTheta_O cosTheta_i))
(- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) v))) (*.f32 cosTheta_O cosTheta_i))
(- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) v))) (*.f32 cosTheta_O cosTheta_i))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 v sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 v sinTheta_i))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 v sinTheta_i))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_i))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 v sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v v))) (/.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) v)) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v v))) (/.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) v)) sinTheta_i)))
(* -1 (* cosTheta_O cosTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (*.f32 cosTheta_O cosTheta_i))
(- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) v))) (*.f32 cosTheta_O cosTheta_i))
(- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 sinTheta_O (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) v))) (*.f32 cosTheta_O cosTheta_i))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 sinTheta_O v))) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 sinTheta_O v))) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) v)) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) v)) sinTheta_O)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (pow v 2))
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 v sinTheta_i))) (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))
(/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (-.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (*.f32 v v))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))
(/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (-.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (*.f32 v v))
(* -1 (* cosTheta_O cosTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (*.f32 cosTheta_O cosTheta_i))
(- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (*.f32 cosTheta_O cosTheta_i))
(- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (*.f32 cosTheta_O cosTheta_i))
(* -1 (* cosTheta_O cosTheta_i))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (*.f32 cosTheta_O cosTheta_i))
(- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) v) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i))
(- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) v) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) (neg.f32 v)) (*.f32 cosTheta_O cosTheta_i))
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))
(*.f32 sinTheta_i (+.f32 sinTheta_O (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) v)))
(* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))
(*.f32 sinTheta_i (+.f32 sinTheta_O (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) v)))
(* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))
(*.f32 sinTheta_i (+.f32 sinTheta_O (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) v)))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)) (/.f32 sinTheta_O sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)) (/.f32 sinTheta_O sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)) (/.f32 sinTheta_O sinTheta_i)))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)) (/.f32 sinTheta_O sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)) (/.f32 sinTheta_O sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_O) v)) (/.f32 sinTheta_O sinTheta_i)))
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))
(*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) v)))
(* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))
(*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) v)))
(* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))
(*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) v)))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) v) (/.f32 sinTheta_i sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) v) (/.f32 sinTheta_i sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) v) (/.f32 sinTheta_i sinTheta_O)))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) v) (/.f32 sinTheta_i sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) v) (/.f32 sinTheta_i sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) v) (/.f32 sinTheta_i sinTheta_O)))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))
(/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_O (*.f32 v sinTheta_i))) v)
(/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_O (*.f32 v sinTheta_i))) v)
(/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_O (*.f32 v sinTheta_i))) v)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(*.f32 (+.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(*.f32 (+.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(*.f32 (+.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(*.f32 (+.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)) (neg.f32 cosTheta_i))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v)))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v))))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v))))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v))))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(*.f32 (neg.f32 cosTheta_O) (neg.f32 (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))))) v))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) v))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) v))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))
(* (pow sinTheta_i 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i))) (*.f32 v sinTheta_i)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v v)))))
(* (pow sinTheta_i 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 v sinTheta_i)))))
(* (pow sinTheta_i 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 v sinTheta_i)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))
(* (pow sinTheta_i 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i))) (*.f32 v sinTheta_i)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v v)))))
(* (pow sinTheta_i 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (neg.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v v))) (/.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) v)) sinTheta_i))))
(* (pow sinTheta_i 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (neg.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v v))) (/.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) v)) sinTheta_i))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) v))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) v))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))
(* (pow sinTheta_O 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (neg.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 sinTheta_O v)))))
(* (pow sinTheta_O 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O))) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 sinTheta_O v)))))
(* (pow sinTheta_O 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O))) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 sinTheta_O v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))
(* (pow sinTheta_O 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (neg.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 sinTheta_O v)))))
(* (pow sinTheta_O 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (neg.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) v)) sinTheta_O))))
(* (pow sinTheta_O 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (neg.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v)) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) v)) sinTheta_O))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))
(/ (- (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/.f32 (+.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O (*.f32 v sinTheta_i)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))
(/ (- (* v (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/.f32 (+.f32 (*.f32 v (*.f32 cosTheta_O (-.f32 (*.f32 v cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))
(/ (- (* v (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/.f32 (+.f32 (*.f32 v (*.f32 cosTheta_O (-.f32 (*.f32 v cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v))
(- (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)))
(- (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v))
(+ (* -1 (/ (- (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v))
(+ (* -1 (/ (- (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))))) (*.f32 v (*.f32 v v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/6 binary32)))))) v)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 (*.f32 v (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_i (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_i) (neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v)
(/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (* cosTheta_O cosTheta_i)) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (/ (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))))) v)
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (- (+ (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v) (/ (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v))
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(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (- (* -1 (/ (- (+ (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v) (+ (/ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) v) (/ (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) v))) (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v))) v))
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(* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v))
(- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v))
(- (+ (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (* cosTheta_O cosTheta_i)) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (/ (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2)))))
(-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))))))) (*.f32 v (*.f32 v v)))) (-.f32 (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 v v))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v))
(+ (* -1 (/ (+ (* -1 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/6 binary32))))) v)) v))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v)) (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 (-.f32 (*.f32 cosTheta_O (+.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/6 binary32)))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O (+.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 cosTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/6 binary32))))))) v)) v)) v))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 #s(literal -2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))))
(+ (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* 2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (*.f32 (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) cosTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 sinTheta_O (neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) v)) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) cosTheta_i)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 sinTheta_i)) (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))) (*.f32 #s(literal -2 binary32) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 2 (/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
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(* cosTheta_O (* cosTheta_i v))
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(* cosTheta_O (* cosTheta_i v))
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(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
1/2
#s(literal 1/2 binary32)
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(+.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32))))))
1/2
#s(literal 1/2 binary32)
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal -1/12 binary32) (*.f32 v v)))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(+.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32))))))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(/ cosTheta_i (pow v 2))
(/.f32 cosTheta_i (*.f32 v v))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 v)
(*.f32 #s(literal 2 binary32) v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(*.f32 v (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
(*.f32 v (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))))))
(* 2 v)
(*.f32 #s(literal 2 binary32) v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(*.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (neg.f32 (pow.f32 v #s(literal 4 binary32)))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (neg.f32 v))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ (- 1/2 (* 1/12 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))) v)
(/ (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))) v)
(/ (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6))))) v)
(/.f32 (+.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32)))))) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) 1/2) v))
(/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) #s(literal -1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) (+ 1/2 (/ 7/720 (pow v 4)))) v))
(/.f32 (-.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))))) (neg.f32 v))
(* -1 (/ (- (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))) (+ 1/2 (/ 7/720 (pow v 4)))) v))
(/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) (-.f32 (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32)))))) (neg.f32 v))

eval302.0ms (1.4%)

Compiler

Compiled 96790 to 9483 computations (90.2% saved)

prune418.0ms (1.9%)

Pruning

67 alts after pruning (64 fresh and 3 done)

PrunedKeptTotal
New2411432454
Fresh242145
Picked325
Done011
Total2438672505
Accuracy
99.9%
Counts
2505 → 67
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.3%
(/.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) v) #s(literal 2 binary32))
97.7%
(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) v)
92.9%
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) v) #s(literal 2 binary32))
95.9%
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
98.4%
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 v))
98.7%
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
67.3%
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
98.4%
(/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) (neg.f32 v)) v) (*.f32 v (*.f32 cosTheta_i (neg.f32 cosTheta_O)))) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
98.8%
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
55.4%
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
89.1%
(/.f32 (/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) #s(literal -1 binary32))) v) #s(literal 2 binary32))
98.5%
(/.f32 (/.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_O)) (*.f32 (*.f32 v v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))))
98.3%
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O)))
98.4%
(/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O)) v))
94.5%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) #s(literal 2 binary32))
95.7%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v v) (+.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (/.f32 #s(literal -1 binary32) v)) (*.f32 v (*.f32 cosTheta_i cosTheta_O))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
98.5%
(/.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))))))) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
98.7%
(/.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 v (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
98.7%
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
55.4%
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓55.4%
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
98.2%
(/.f32 (*.f32 cosTheta_O #s(literal 1 binary32)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 v v) cosTheta_i)))
90.0%
(/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32))) #s(literal 2 binary32))
▶93.5%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
55.5%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
93.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O)) (*.f32 v v)) (*.f32 #s(literal 1 binary32) cosTheta_i)))
93.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (*.f32 (/.f32 cosTheta_i (*.f32 v v)) (neg.f32 cosTheta_O))))
55.5%
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
98.0%
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1 binary32) v))
98.3%
(*.f32 (/.f32 (/.f32 cosTheta_i v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
93.2%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v))))
98.5%
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))
98.0%
(*.f32 (/.f32 (+.f32 (*.f32 v (*.f32 cosTheta_O (-.f32 (*.f32 v cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v)) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
98.2%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1/2 binary32)) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/4 binary32))) v)) (*.f32 v v)))
98.1%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
98.6%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.5%
(*.f32 (/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
98.5%
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
55.4%
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
67.2%
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) v))
61.0%
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 (/.f32 cosTheta_i v) v))
98.1%
(*.f32 (/.f32 cosTheta_O (/.f32 (*.f32 v v) cosTheta_i)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
55.4%
(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) v))
✓98.3%
(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
94.1%
(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 v v) cosTheta_i)) #s(literal -1 binary32))))
55.8%
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
55.4%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
98.4%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
▶98.9%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
53.2%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
98.9%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
67.3%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
98.7%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))))
▶98.7%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
98.7%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
55.4%
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
67.3%
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
67.3%
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
▶61.0%
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
98.5%
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (exp.f32 (*.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32)))) #s(literal -1 binary32))))
98.5%
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
55.3%
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
▶55.3%
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
55.3%
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
55.3%
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
55.3%
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
89.1%
(exp.f32 (*.f32 (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (log.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) #s(literal -1 binary32)))
Compiler

Compiled 4021 to 2637 computations (34.4% saved)

simplify310.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff64
(*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
✓cost-diff64
(*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))))
✓cost-diff64
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
✓cost-diff256
(+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))
✓cost-diff0
(*.f32 v v)
✓cost-diff0
(/.f32 (*.f32 v v) #s(literal 1/2 binary32))
✓cost-diff0
(/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓cost-diff64
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓cost-diff32
(neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)))
✓cost-diff64
(+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))
✓cost-diff64
(-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))
✓cost-diff64
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
✓cost-diff0
(/.f32 cosTheta_O v)
✓cost-diff0
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓cost-diff0
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))
✓cost-diff64
(/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓cost-diff64
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
✓cost-diff256
(+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))
Rules
5406×*-lowering-*.f32
5406×*-lowering-*.f64
2924×/-lowering-/.f32
2924×/-lowering-/.f64
1652×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073938
1238869
2808840
33663780
08695780
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (- 0 (* cosTheta_i cosTheta_O)) (/ (/ -1 v) (/ (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v))))))) (/ (/ 1/2 v) (sinh (/ 1 v))))))
(- 0 (* cosTheta_i cosTheta_O))
0
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(/ (/ -1 v) (/ (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v))))))) (/ (/ 1/2 v) (sinh (/ 1 v)))))
(/ -1 v)
-1
v
(/ (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v))))))) (/ (/ 1/2 v) (sinh (/ 1 v))))
(+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v)))))))
1
(* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v))))))
sinTheta_i
(+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v)))))
(/ sinTheta_O v)
sinTheta_O
(* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v))))
(+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v)))
(/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v)))
(* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))))
1/6
(* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))
(* sinTheta_O (* sinTheta_O sinTheta_O))
(* sinTheta_O sinTheta_O)
(* v (* v v))
(* v v)
(* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v))
1/2
(/ (/ (* sinTheta_O sinTheta_O) v) v)
(/ (* sinTheta_O sinTheta_O) v)
(/ (/ 1/2 v) (sinh (/ 1 v)))
(/ 1/2 v)
(sinh (/ 1 v))
(/ 1 v)
(* 1/2 (* cosTheta_i (/ cosTheta_O v)))
1/2
(* cosTheta_i (/ cosTheta_O v))
cosTheta_i
(/ cosTheta_O v)
cosTheta_O
v
(* (neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))) (/ 1 (* v (+ 2 (/ 1/3 (* v v))))))
(neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O)))
(- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))
(/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v)
(* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2))))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2))
(* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O)))
(* sinTheta_i (* sinTheta_i sinTheta_O))
(/ v -1/2)
v
-1/2
(/ 1 (* v (+ 2 (/ 1/3 (* v v)))))
1
(* v (+ 2 (/ 1/3 (* v v))))
(+ 2 (/ 1/3 (* v v)))
2
(/ 1/3 (* v v))
1/3
(* v v)
(/ 1 (/ (/ (* v v) 1/2) (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))))
1
(/ (/ (* v v) 1/2) (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))))
(/ (* v v) 1/2)
(* v v)
v
1/2
(/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(sinh (/ 1 v))
(/ 1 v)
(* (- 0 (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (* (/ 1 (sinh (/ 1 v))) (/ 1/2 v)) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))))
(- 0 (* cosTheta_i cosTheta_O))
0
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* (/ -1 v) (/ (* (/ 1 (sinh (/ 1 v))) (/ 1/2 v)) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))))
(/ -1 v)
-1
v
(/ (* (/ 1 (sinh (/ 1 v))) (/ 1/2 v)) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))
(* (/ 1 (sinh (/ 1 v))) (/ 1/2 v))
(/ 1 (sinh (/ 1 v)))
1
(sinh (/ 1 v))
(/ 1 v)
(/ 1/2 v)
1/2
(+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))
(* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))
sinTheta_i
(+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))
(/ sinTheta_O v)
sinTheta_O
(* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))
(+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))
(/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v)))
(* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))))
1/6
(* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))
(* sinTheta_O (* sinTheta_O sinTheta_O))
(* sinTheta_O sinTheta_O)
(* v (* v v))
(* v v)
(/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))
(* 1/2 (* sinTheta_O sinTheta_O))
Outputs
(* (- 0 (* cosTheta_i cosTheta_O)) (/ (/ -1 v) (/ (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v))))))) (/ (/ 1/2 v) (sinh (/ 1 v))))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))))) (/.f32 v (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(- 0 (* cosTheta_i cosTheta_O))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))
0
#s(literal 0 binary32)
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(/ (/ -1 v) (/ (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v))))))) (/ (/ 1/2 v) (sinh (/ 1 v)))))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))))))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)
v
(/ (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v))))))) (/ (/ 1/2 v) (sinh (/ 1 v))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))))))
1
#s(literal 1 binary32)
(* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v))))))
(*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))))
sinTheta_i
(+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v)))))
(+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(/ sinTheta_O v)
(/.f32 sinTheta_O v)
sinTheta_O
(* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v))))
(*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
(+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v)))
(*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v)))
(*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v)))
(* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))))
(*.f32 sinTheta_O (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))))
1/6
#s(literal 1/6 binary32)
(* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))
(*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))
(* sinTheta_O (* sinTheta_O sinTheta_O))
(*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))
(* sinTheta_O sinTheta_O)
(*.f32 sinTheta_O sinTheta_O)
(* v (* v v))
(*.f32 v (*.f32 v v))
(* v v)
(*.f32 v v)
(* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v))
(/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) (*.f32 v v))
1/2
#s(literal 1/2 binary32)
(/ (/ (* sinTheta_O sinTheta_O) v) v)
(/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v))
(/ (* sinTheta_O sinTheta_O) v)
(*.f32 sinTheta_O (/.f32 sinTheta_O v))
(/ (/ 1/2 v) (sinh (/ 1 v)))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(* 1/2 (* cosTheta_i (/ cosTheta_O v)))
(/.f32 (*.f32 cosTheta_i (*.f32 #s(literal 1/2 binary32) cosTheta_O)) v)
1/2
#s(literal 1/2 binary32)
(* cosTheta_i (/ cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cosTheta_i
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
cosTheta_O
v
(* (neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))) (/ 1 (* v (+ 2 (/ 1/3 (* v v))))))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v))) (+.f32 (*.f32 v #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) v))))
(neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 (*.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v)))
(- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))
(*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -1 binary32))))
(/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v)
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (+.f32 (*.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (*.f32 sinTheta_i sinTheta_O))) v)
(* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (+.f32 (*.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (*.f32 sinTheta_i sinTheta_O)))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))
(*.f32 (+.f32 (*.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (*.f32 sinTheta_i sinTheta_O))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2))
(/.f32 (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/2 binary32)) v)
(* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O)))
(*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))
(* sinTheta_i (* sinTheta_i sinTheta_O))
(*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))
(/ v -1/2)
(/.f32 v #s(literal -1/2 binary32))
v
-1/2
#s(literal -1/2 binary32)
(/ 1 (* v (+ 2 (/ 1/3 (* v v)))))
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 v #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) v))))
1
#s(literal 1 binary32)
(* v (+ 2 (/ 1/3 (* v v))))
(+.f32 (*.f32 v #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) v)))
(+ 2 (/ 1/3 (* v v)))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
2
#s(literal 2 binary32)
(/ 1/3 (* v v))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
1/3
#s(literal 1/3 binary32)
(* v v)
(*.f32 v v)
(/ 1 (/ (/ (* v v) 1/2) (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 v v) #s(literal 1/2 binary32)))
1
#s(literal 1 binary32)
(/ (/ (* v v) 1/2) (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))))
(/.f32 (*.f32 v v) (/.f32 (*.f32 cosTheta_i (*.f32 #s(literal 1/2 binary32) cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/ (* v v) 1/2)
(/.f32 (*.f32 v v) #s(literal 1/2 binary32))
(* v v)
(*.f32 v v)
v
1/2
#s(literal 1/2 binary32)
(/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(* (- 0 (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (* (/ 1 (sinh (/ 1 v))) (/ 1/2 v)) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))))) (/.f32 v (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(- 0 (* cosTheta_i cosTheta_O))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))
0
#s(literal 0 binary32)
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(* (/ -1 v) (/ (* (/ 1 (sinh (/ 1 v))) (/ 1/2 v)) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))))))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)
v
(/ (* (/ 1 (sinh (/ 1 v))) (/ 1/2 v)) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))))))))
(* (/ 1 (sinh (/ 1 v))) (/ 1/2 v))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/ 1 (sinh (/ 1 v)))
(/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
1
#s(literal 1 binary32)
(sinh (/ 1 v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
(+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))
(+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))))))
(* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))
(*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))))
sinTheta_i
(+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))
(+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))))
(/ sinTheta_O v)
(/.f32 sinTheta_O v)
sinTheta_O
(* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))
(*.f32 sinTheta_i (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
(+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))
(*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v)))
(*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v)))
(* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O))))
(*.f32 sinTheta_O (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))))
1/6
#s(literal 1/6 binary32)
(* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))
(*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))
(* sinTheta_O (* sinTheta_O sinTheta_O))
(*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))
(* sinTheta_O sinTheta_O)
(*.f32 sinTheta_O sinTheta_O)
(* v (* v v))
(*.f32 v (*.f32 v v))
(* v v)
(*.f32 v v)
(/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))
(/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) (*.f32 v v))
(* 1/2 (* sinTheta_O sinTheta_O))
(*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32))

localize451.0ms (2.1%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.0%
(*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))))
✓accuracy98.9%
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v)))
✓accuracy98.9%
(*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
✓accuracy97.5%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy99.4%
(/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓accuracy99.4%
(/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓accuracy97.5%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy94.7%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓accuracy99.4%
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
✓accuracy99.2%
(/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
✓accuracy99.0%
(*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
✓accuracy98.9%
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
✓accuracy100.0%
(/.f32 cosTheta_O v)
✓accuracy99.9%
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
✓accuracy99.5%
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
✓accuracy99.0%
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓accuracy98.9%
(/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓accuracy98.9%
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v)))
✓accuracy97.5%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Results
274.0ms256×0valid
Compiler

Compiled 1127 to 74 computations (93.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-mult: 43.0ms (39.1% of total)
ival-div: 39.0ms (35.5% of total)
ival-add: 11.0ms (10% of total)
...c/correct-round.rkt:119:19: 8.0ms (7.3% of total)
ival-sub: 3.0ms (2.7% of total)
ival-sinh: 3.0ms (2.7% of total)
const: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series65.0ms (0.3%)

Counts
26 → 840
Calls
Call 1
Inputs
#<alt (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v)))>
#<alt (* (- 0 (* cosTheta_i cosTheta_O)) (/ (/ -1 v) (/ (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v))))))) (/ (/ 1/2 v) (sinh (/ 1 v))))))>
#<alt (/ (/ -1 v) (/ (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v))))))) (/ (/ 1/2 v) (sinh (/ 1 v)))))>
#<alt (- 0 (* cosTheta_i cosTheta_O))>
#<alt (* 1/2 (* cosTheta_i (/ cosTheta_O v)))>
#<alt (* cosTheta_i (/ cosTheta_O v))>
#<alt (/ cosTheta_O v)>
#<alt (* (neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))) (/ 1 (* v (+ 2 (/ 1/3 (* v v))))))>
#<alt (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))>
#<alt (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))>
#<alt (neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O)))>
#<alt (/ 1 (/ (/ (* v v) 1/2) (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))))>
#<alt (/ (/ (* v v) 1/2) (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))))>
#<alt (/ (* v v) 1/2)>
#<alt (* v v)>
#<alt (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))>
#<alt (* (- 0 (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (* (/ 1 (sinh (/ 1 v))) (/ 1/2 v)) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))))>
#<alt (* (/ -1 v) (/ (* (/ 1 (sinh (/ 1 v))) (/ 1/2 v)) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))))>
#<alt (* (/ 1 (sinh (/ 1 v))) (/ 1/2 v))>
#<alt (sinh (/ 1 v))>
#<alt (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v)))>
#<alt (/ (/ 1/2 v) (sinh (/ 1 v)))>
#<alt (/ 1/3 (* v v))>
#<alt (* v (+ 2 (/ 1/3 (* v v))))>
#<alt (/ 1 (* v (+ 2 (/ 1/3 (* v v)))))>
#<alt (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))>
Outputs
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))>
#<alt (* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))>
#<alt (* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))>
#<alt (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))>
#<alt (* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))>
#<alt (* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))>
#<alt (* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))>
#<alt (* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))>
#<alt (/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))>
#<alt (/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))>
#<alt (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))>
#<alt (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))>
#<alt (* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))>
#<alt (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))>
#<alt (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))>
#<alt (/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
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#<alt (* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))>
#<alt (* 3/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))>
#<alt (/ (+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 3/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)>
#<alt (/ (+ (* 3/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (- (* 3 (* cosTheta_O cosTheta_i)) (* 9 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) v)>
#<alt (/ (+ (* 3/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (- (+ (* 3 (* cosTheta_O cosTheta_i)) (* 18 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))))) (* 9 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)>
#<alt (/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) (* 1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/12 (* cosTheta_O cosTheta_i)))) (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))>
#<alt (* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))>
#<alt (* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))>
#<alt (* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))>
#<alt (* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))>
#<alt (* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))>
#<alt (* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))>
#<alt (* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))>
#<alt (* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))>
#<alt (* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))>
#<alt (* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))>
#<alt (* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))>
#<alt (* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))>
#<alt (* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))>
#<alt (* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))>
#<alt (* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))>
#<alt (* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))>
#<alt (* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))>
#<alt (* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))>
#<alt (* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))>
#<alt (* -1 (* cosTheta_O cosTheta_i))>
#<alt (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))>
#<alt (- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))>
#<alt (- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))>
#<alt (* -1 (* cosTheta_O cosTheta_i))>
#<alt (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))>
#<alt (- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))>
#<alt (- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (pow v 2))>
#<alt (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))>
#<alt (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))>
#<alt (* -1 (* cosTheta_O cosTheta_i))>
#<alt (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))>
#<alt (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (* -1 (* cosTheta_O cosTheta_i))>
#<alt (- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))>
#<alt (- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))>
#<alt (- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))>
#<alt (* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))>
#<alt (* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))>
#<alt (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))>
#<alt (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))>
#<alt (* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))>
#<alt (* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))>
#<alt (* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))>
#<alt (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))>
#<alt (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))>
#<alt (* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))>
#<alt (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))>
#<alt (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)>
#<alt (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)>
#<alt (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))>
#<alt (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))>
#<alt (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))>
#<alt (* sinTheta_O sinTheta_i)>
#<alt (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))>
#<alt (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))>
#<alt (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))>
#<alt (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))>
#<alt (* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* cosTheta_O cosTheta_i) (* sinTheta_i (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))>
#<alt (+ (* cosTheta_O cosTheta_i) (* sinTheta_i (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))>
#<alt (* (pow sinTheta_i 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_i 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_i 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))>
#<alt (+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))>
#<alt (* (pow sinTheta_O 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (* (pow sinTheta_O 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (* (pow sinTheta_O 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))>
#<alt (/ (- (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))>
#<alt (/ (- (* v (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))>
#<alt (/ (- (* v (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (- (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))>
#<alt (- (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (/ (- (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i))>
#<alt (+ (* -1 (/ (- (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (* 2 (/ v (* cosTheta_O cosTheta_i)))>
#<alt (* v (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))))>
#<alt (* v (+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i))))))>
#<alt (* v (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6)))))))))>
#<alt (* 2 (/ v (* cosTheta_O cosTheta_i)))>
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#<alt (/ (+ (* -6 (/ v (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 18 (/ (pow v 2) (* sinTheta_O (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_O 3))>
#<alt (/ (- (+ (* -6 (/ v (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -36 (/ (pow v 3) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 54 (/ (pow v 3) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 2)))) (* -18 (/ (pow v 2) (* sinTheta_O (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_O 3))>
#<alt (/ (- (+ (* -6 (/ v (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -36 (/ (pow v 4) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -3 (/ (* v (+ (* -36 (/ (pow v 3) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 54 (/ (pow v 3) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_i)) (* 108 (/ (pow v 4) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_O 3)))) (+ (* -36 (/ (pow v 3) (* (pow sinTheta_O 2) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -18 (/ (pow v 2) (* sinTheta_O (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 54 (/ (pow v 3) (* (pow sinTheta_O 2) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (pow sinTheta_O 3))>
#<alt (* -6 (/ v (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))>
#<alt (* -1 (/ (+ (* -18 (/ (pow v 2) (* sinTheta_O (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ v (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -54 (/ (pow v 3) (* sinTheta_O (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 36 (/ (pow v 3) (* sinTheta_O (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* -18 (/ (pow v 2) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O)) (* 6 (/ v (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -36 (/ (pow v 4) (* sinTheta_O (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* 3 (/ (* v (+ (* -54 (/ (pow v 3) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 36 (/ (pow v 3) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* sinTheta_O sinTheta_i))) (* 108 (/ (pow v 4) (* sinTheta_O (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (+ (* -54 (/ (pow v 3) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 36 (/ (pow v 3) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O)) (* -18 (/ (pow v 2) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O)) (* 6 (/ v (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 3)))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ 1/3 v)>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) v)>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) v)>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) v)>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* 3 v)>
#<alt (* v (+ 3 (* -18 (pow v 2))))>
#<alt (* v (+ 3 (* (pow v 2) (- (* 108 (pow v 2)) 18))))>
#<alt (* v (+ 3 (* (pow v 2) (- (* (pow v 2) (+ 108 (* -648 (pow v 2)))) 18))))>
#<alt (/ 1/2 v)>
#<alt (/ (- 1/2 (* 1/12 (/ 1 (pow v 2)))) v)>
#<alt (/ (- (+ 1/2 (/ 1/72 (pow v 4))) (* 1/12 (/ 1 (pow v 2)))) v)>
#<alt (/ (- (+ 1/2 (/ 1/72 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 1/432 (/ 1 (pow v 6))))) v)>
#<alt (/ 1/2 v)>
#<alt (* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) 1/2) v))>
#<alt (* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) (+ 1/2 (/ 1/72 (pow v 4)))) v))>
#<alt (* -1 (/ (- (+ (* 1/12 (/ 1 (pow v 2))) (* 1/432 (/ 1 (pow v 6)))) (+ 1/2 (/ 1/72 (pow v 4)))) v))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* cosTheta_O (* cosTheta_i v))>
#<alt (* v (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)))>
#<alt (* v (- (+ (* -1 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))>
#<alt (* v (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* cosTheta_O cosTheta_i)) (+ (* -1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))))>
#<alt (* cosTheta_O (* cosTheta_i v))>
#<alt (* -1 (* v (+ (* -1 (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))>
#<alt (* -1 (* v (- (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4)))) (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))>
#<alt (* -1 (* v (- (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6)))) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))))))))>
Calls

210 calls:

TimeVariablePointExpression
6.0ms
sinTheta_O
@0
(neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O)))
1.0ms
cosTheta_i
@0
(* (neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))) (/ 1 (* v (+ 2 (/ 1/3 (* v v))))))
1.0ms
cosTheta_O
@0
(* (neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))) (/ 1 (* v (+ 2 (/ 1/3 (* v v))))))
1.0ms
v
@0
(/ (/ (* v v) 1/2) (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))))
1.0ms
cosTheta_i
@0
(/ (/ (* v v) 1/2) (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))))

rewrite451.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
4768×/-lowering-/.f32
4768×/-lowering-/.f64
3802×*-lowering-*.f32
3802×*-lowering-*.f64
1740×frac-2neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073415
1389373
22735357
08320357
Stop Event
1×iter limit
1×node limit
Counts
26 → 1384
Calls
Call 1
Inputs
(+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v)))
(* (- 0 (* cosTheta_i cosTheta_O)) (/ (/ -1 v) (/ (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v))))))) (/ (/ 1/2 v) (sinh (/ 1 v))))))
(/ (/ -1 v) (/ (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (* 1/2 (/ (/ (* sinTheta_O sinTheta_O) v) v))))))) (/ (/ 1/2 v) (sinh (/ 1 v)))))
(- 0 (* cosTheta_i cosTheta_O))
(* 1/2 (* cosTheta_i (/ cosTheta_O v)))
(* cosTheta_i (/ cosTheta_O v))
(/ cosTheta_O v)
(* (neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))) (/ 1 (* v (+ 2 (/ 1/3 (* v v))))))
(- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O))
(+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))
(neg (- (/ (* (* cosTheta_i cosTheta_O) (+ (* sinTheta_i sinTheta_O) (/ (* sinTheta_O (* sinTheta_i (* sinTheta_i sinTheta_O))) (/ v -1/2)))) v) (* cosTheta_i cosTheta_O)))
(/ 1 (/ (/ (* v v) 1/2) (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))))
(/ (/ (* v v) 1/2) (/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v))))
(/ (* v v) 1/2)
(* v v)
(+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))
(* (- 0 (* cosTheta_i cosTheta_O)) (* (/ -1 v) (/ (* (/ 1 (sinh (/ 1 v))) (/ 1/2 v)) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v))))))))))
(* (/ -1 v) (/ (* (/ 1 (sinh (/ 1 v))) (/ 1/2 v)) (+ 1 (* sinTheta_i (+ (/ sinTheta_O v) (* sinTheta_i (+ (/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v))) (/ (* 1/2 (* sinTheta_O sinTheta_O)) (* v v)))))))))
(* (/ 1 (sinh (/ 1 v))) (/ 1/2 v))
(sinh (/ 1 v))
(/ (* 1/6 (* sinTheta_i (* sinTheta_O (* sinTheta_O sinTheta_O)))) (* v (* v v)))
(/ (/ 1/2 v) (sinh (/ 1 v)))
(/ 1/3 (* v v))
(* v (+ 2 (/ 1/3 (* v v))))
(/ 1 (* v (+ 2 (/ 1/3 (* v v)))))
(/ (* cosTheta_i cosTheta_O) (sinh (/ 1 v)))
Outputs
(+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
(+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
(fma.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))))
(fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) (/.f32 #s(literal 1/6 binary32) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
(fma.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))))
(fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))))
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(-.f32 (/.f32 (*.f32 (*.f32 (neg.f32 sinTheta_O) (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v))) (/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 (*.f32 (neg.f32 sinTheta_O) (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)))))
(/.f32 (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)) (-.f32 (/.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v)))
(/.f32 (+.f32 (*.f32 (*.f32 (neg.f32 sinTheta_O) (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)) (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v)))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) v)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 (*.f32 (neg.f32 sinTheta_O) (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 cosTheta_i cosTheta_O))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v))) (*.f32 (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (-.f32 (/.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v))) (*.f32 (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) (+.f32 (*.f32 (*.f32 (neg.f32 sinTheta_O) (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) (-.f32 (/.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) (/.f32 (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)) v))) (*.f32 (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/.f32 (neg.f32 (/.f32 (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))) (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
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(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)) (-.f32 (/.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v))))
(*.f32 (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v))))
(*.f32 (+.f32 (*.f32 (*.f32 (neg.f32 sinTheta_O) (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) (-.f32 (/.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (/.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v))) (+.f32 (*.f32 (*.f32 (neg.f32 sinTheta_O) (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)) v))
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v))) (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)))
(*.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (/.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v))) #s(literal -1 binary32)) (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 (*.f32 (*.f32 (neg.f32 sinTheta_O) (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(neg.f32 (+.f32 (*.f32 (*.f32 (neg.f32 sinTheta_O) (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)))
(+.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(+.f32 (-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)) (+.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O)))
(+.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(fma.f32 cosTheta_i (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))))) (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 cosTheta_i (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32)))))) v) (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 cosTheta_O (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))))) (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) v) (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 #s(literal -1 binary32) (*.f32 cosTheta_i cosTheta_O) (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32)))))) (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32)))))) (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 (neg.f32 cosTheta_O) cosTheta_i (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(fma.f32 (*.f32 cosTheta_i (*.f32 (*.f32 (neg.f32 sinTheta_O) (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) cosTheta_O)) (/.f32 #s(literal -1 binary32) v) (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(fma.f32 (neg.f32 cosTheta_i) cosTheta_O (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(fma.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(-.f32 #s(literal 0 binary32) (+.f32 (*.f32 (*.f32 (neg.f32 sinTheta_O) (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)))
(-.f32 (/.f32 (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 cosTheta_i cosTheta_O))
(-.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 (neg.f32 sinTheta_O) (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(*.f32 #s(literal -1 binary32) (+.f32 (*.f32 (*.f32 (neg.f32 sinTheta_O) (+.f32 sinTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) (/.f32 v #s(literal -1/2 binary32))))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 cosTheta_i cosTheta_O)))
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(exp.f32 (*.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)) #s(literal -1 binary32))
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(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))))))
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(/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))) (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 #s(literal -1 binary32) v) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))))))
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(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))) (/.f32 #s(literal -1 binary32) v)) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
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(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))) v))
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(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) v) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))) #s(literal 2 binary32))
(*.f32 (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(neg.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
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(+.f32 (/.f32 #s(literal 1/3 binary32) v) (/.f32 v #s(literal 1/2 binary32)))
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(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v))) #s(literal -1 binary32)))
(pow.f32 (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (log.f32 (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1/3 binary32) v))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
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(/.f32 (/.f32 #s(literal -1 binary32) v) (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
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(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v)
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (neg.f32 v))
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(neg.f32 (/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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(pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))
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(/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
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(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O))))
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(*.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(*.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i)
(*.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (neg.f32 (neg.f32 cosTheta_i)) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))))

simplify713.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
5866×*-lowering-*.f32
5866×*-lowering-*.f64
3296×+-lowering-+.f64
3296×+-lowering-+.f32
2208×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0125121234
1467119740
0832519740
Stop Event
1×iter limit
1×node limit
Counts
840 → 840
Calls
Call 1
Inputs
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))
(+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))
(+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))
(* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))
(* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))
(* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))
(* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))
(* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))
(* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))
(/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))
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(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
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(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* v (+ (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -1/2 (* v (+ (* -216 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -3 (/ (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* sinTheta_O sinTheta_i))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (* -1/2 (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 3))
(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3))
(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -216 (/ (* cosTheta_O (* cosTheta_i (pow v 4))) (* (pow sinTheta_O 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -3 (/ (* v (+ (* -108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O)) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 4))) (* (pow sinTheta_O 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3))) (+ (* -1/2 (/ (+ (* -108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (pow sinTheta_i 3))
(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(* -1 (/ (+ (* -6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (+ (* -72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i))) sinTheta_i))) (pow sinTheta_i 3)))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(* 3/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/ (+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 3/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)
(/ (+ (* 3/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (- (* 3 (* cosTheta_O cosTheta_i)) (* 9 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) v)
(/ (+ (* 3/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (- (+ (* 3 (* cosTheta_O cosTheta_i)) (* 18 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))))) (* 9 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) (* 1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/12 (* cosTheta_O cosTheta_i)))) (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))
(* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))
(* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))
(* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))
(* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))
(* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))
(* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))
(* -1 (* cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))
(- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* -1 (* cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))
(- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (pow v 2))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))
(* -1 (* cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(* -1 (* cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))
(- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))
(* sinTheta_O sinTheta_i)
(* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))
(* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))
(* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(* sinTheta_O sinTheta_i)
(* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))
(* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))
(* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)
(/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)
(/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)
(* sinTheta_O sinTheta_i)
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(* sinTheta_O sinTheta_i)
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_i 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* (pow sinTheta_i 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(* (pow sinTheta_i 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_i 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* (pow sinTheta_i 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* (pow sinTheta_i 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_O 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* (pow sinTheta_O 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(* (pow sinTheta_O 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(* (pow sinTheta_O 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* (pow sinTheta_O 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* (pow sinTheta_O 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/ (- (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/ (- (* v (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/ (- (* v (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(- (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(- (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (- (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (- (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(* 2 (/ v (* cosTheta_O cosTheta_i)))
(* v (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))))
(* v (+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i))))))
(* v (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6)))))))))
(* 2 (/ v (* cosTheta_O cosTheta_i)))
(* v (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))))
(* -1 (* v (- (* -1 (/ (+ (* 1/3 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))) (pow v 2))) (* 2 (/ 1 (* cosTheta_O cosTheta_i))))))
(* -1 (* v (- (* -1 (/ (+ (* 1/60 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2)))))) (pow v 4))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
1/2
(- 1/2 (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))
(- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 (pow v 2))
(/ 1/3 v)
(/ (+ 1/3 (* 2 (pow v 2))) v)
(/ (+ 1/3 (* 2 (pow v 2))) v)
(/ (+ 1/3 (* 2 (pow v 2))) v)
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* 3 v)
(* v (+ 3 (* -18 (pow v 2))))
(* v (+ 3 (* (pow v 2) (- (* 108 (pow v 2)) 18))))
(* v (+ 3 (* (pow v 2) (- (* (pow v 2) (+ 108 (* -648 (pow v 2)))) 18))))
(/ 1/2 v)
(/ (- 1/2 (* 1/12 (/ 1 (pow v 2)))) v)
(/ (- (+ 1/2 (/ 1/72 (pow v 4))) (* 1/12 (/ 1 (pow v 2)))) v)
(/ (- (+ 1/2 (/ 1/72 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 1/432 (/ 1 (pow v 6))))) v)
(/ 1/2 v)
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) 1/2) v))
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) (+ 1/2 (/ 1/72 (pow v 4)))) v))
(* -1 (/ (- (+ (* 1/12 (/ 1 (pow v 2))) (* 1/432 (/ 1 (pow v 6)))) (+ 1/2 (/ 1/72 (pow v 4)))) v))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* cosTheta_O (* cosTheta_i v))
(* v (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)))
(* v (- (+ (* -1 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(* v (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* cosTheta_O cosTheta_i)) (+ (* -1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))))
(* cosTheta_O (* cosTheta_i v))
(* -1 (* v (+ (* -1 (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))
(* -1 (* v (- (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4)))) (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))
(* -1 (* v (- (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6)))) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))))))))
Outputs
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))
(+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))
(+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))
(*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i))))
(* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))
(*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i))))
(* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))
(*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v)))) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v)))) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v)))) (neg.f32 sinTheta_i))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))))
(* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))))
(* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))
(*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 sinTheta_i (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))))
(* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))
(*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 sinTheta_i (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))))
(* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))
(*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 sinTheta_i (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_i) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))
(* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_i) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))
(* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_i) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) v))) (*.f32 v (*.f32 v v)))
(/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) v))) (*.f32 v (*.f32 v v)))
(/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) v))) (*.f32 v (*.f32 v v)))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O (*.f32 v cosTheta_i))) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* v (+ (* -18 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) (*.f32 cosTheta_O (*.f32 v cosTheta_i))) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) (pow.f32 sinTheta_i #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* v (+ (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* -1/2 (* v (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))))))
(*.f32 v (+.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) (pow.f32 sinTheta_i #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 5 binary32)) (pow.f32 sinTheta_i #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal -36 binary32)))))))
(* v (+ (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -1/2 (* v (+ (* -216 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -3 (/ (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* sinTheta_O sinTheta_i))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (* -1/2 (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))))))
(*.f32 v (+.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) (pow.f32 sinTheta_i #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 v (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -216 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 6 binary32)) (pow.f32 sinTheta_i #s(literal 6 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (+.f32 (/.f32 (*.f32 #s(literal -3 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 5 binary32)) (pow.f32 sinTheta_i #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal -36 binary32))) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal 72 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 6 binary32)) (pow.f32 sinTheta_i #s(literal 6 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 5 binary32)) (pow.f32 sinTheta_i #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal -36 binary32)))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v) (+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))))))) (*.f32 v (*.f32 v v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 cosTheta_i (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) v)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 cosTheta_i (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 cosTheta_O (+.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 cosTheta_i (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))))) v)) v)) v)) (neg.f32 v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_i (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_i) (neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_i (-.f32 (*.f32 sinTheta_i (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 sinTheta_i (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))) (/.f32 (*.f32 sinTheta_O (neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) v)) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O (*.f32 v cosTheta_i))) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 3))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i))) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O (*.f32 v cosTheta_i))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))
(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_O 3))
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(* -6 (/ v (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal -6 binary32) v) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(* v (- (* v (+ (* v (- (* -18 (/ v (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 18 (/ 1 (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 18 (/ 1 (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 6 (/ 1 (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
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(/ -1/2 v)
(/.f32 #s(literal -1/2 binary32) v)
(/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) v)
(/ (- (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (+ 1/6 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))) 1/2) v)
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(/ (- (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (+ 1/6 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))) (* 1/2 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ 1/6 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3))))) 1/2) v)
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(/ -1/2 v)
(/.f32 #s(literal -1/2 binary32) v)
(* -1 (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (neg.f32 v))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (- 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
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(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/2 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (- 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (+ (* 1/6 (* sinTheta_O sinTheta_i)) (+ (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))) v))
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(/ -1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(- (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/.f32 cosTheta_O v)
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (*.f32 cosTheta_i (+.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (neg.f32 (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (*.f32 cosTheta_i (+.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (neg.f32 (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (*.f32 cosTheta_i (+.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (neg.f32 (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(* -1 (/ (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (*.f32 cosTheta_i (+.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (neg.f32 (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (*.f32 cosTheta_O (+.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (neg.f32 (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (*.f32 cosTheta_O (+.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (neg.f32 (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (*.f32 cosTheta_O (+.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (neg.f32 (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(* -1 (/ (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (*.f32 cosTheta_O (+.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v))) (neg.f32 (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (*.f32 sinTheta_i (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) sinTheta_i) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))) sinTheta_i)))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (*.f32 sinTheta_O (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) sinTheta_O) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 (*.f32 v v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))) sinTheta_O)))
(* 3/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))
(/.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v)
(/ (+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 3/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)
(/.f32 (+.f32 (*.f32 (*.f32 #s(literal -3 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O (*.f32 v sinTheta_i)))) (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))) v)
(/ (+ (* 3/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (- (* 3 (* cosTheta_O cosTheta_i)) (* 9 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) v)
(/.f32 (+.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (+.f32 (*.f32 #s(literal -3 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) (*.f32 v (+.f32 (*.f32 #s(literal 3 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) #s(literal -9 binary32))))))) v)
(/ (+ (* 3/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -3 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* v (- (+ (* 3 (* cosTheta_O cosTheta_i)) (* 18 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v)))))) (* 9 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) v)
(/.f32 (+.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (+.f32 (*.f32 #s(literal -3 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) (*.f32 v (+.f32 (*.f32 #s(literal 3 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (*.f32 #s(literal 18 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 v sinTheta_i)))) (*.f32 (*.f32 #s(literal 9 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))))))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)
(/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v) (+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) (*.f32 v v)))) v)
(/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v) (+.f32 (+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) (*.f32 v v)))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) (* 1/12 (/ (* cosTheta_O cosTheta_i) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal -1/12 binary32)))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/12 (* cosTheta_O cosTheta_i)))) (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) #s(literal -1/12 binary32)) (+.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)))) v)) v)) (neg.f32 v))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v) cosTheta_O))
(* cosTheta_i (- (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_O))
(*.f32 cosTheta_i (-.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v) cosTheta_O))
(* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))
(*.f32 (neg.f32 cosTheta_i) (+.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) (neg.f32 v)) cosTheta_O))
(* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))
(*.f32 (neg.f32 cosTheta_i) (+.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) (neg.f32 v)) cosTheta_O))
(* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))
(*.f32 (neg.f32 cosTheta_i) (+.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) (neg.f32 v)) cosTheta_O))
(* -1 (* cosTheta_i (- (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_O))))
(*.f32 (neg.f32 cosTheta_i) (+.f32 (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) (neg.f32 v)) cosTheta_O))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v) cosTheta_i))
(* cosTheta_O (- (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v) cosTheta_i))
(*.f32 cosTheta_O (-.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v) cosTheta_i))
(* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))
(*.f32 (neg.f32 cosTheta_O) (+.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) (neg.f32 v)) cosTheta_i))
(* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))
(*.f32 (neg.f32 cosTheta_O) (+.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) (neg.f32 v)) cosTheta_i))
(* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))
(*.f32 (neg.f32 cosTheta_O) (+.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) (neg.f32 v)) cosTheta_i))
(* -1 (* cosTheta_O (- (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)) (* -1 cosTheta_i))))
(*.f32 (neg.f32 cosTheta_O) (+.f32 (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) (neg.f32 v)) cosTheta_i))
(* -1 (* cosTheta_O cosTheta_i))
(neg.f32 (*.f32 cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (*.f32 cosTheta_O cosTheta_i))
(- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v))) (*.f32 cosTheta_O cosTheta_i))
(- (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 sinTheta_i (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v))) (*.f32 cosTheta_O cosTheta_i))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 v v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (*.f32 v sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 v v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (*.f32 v sinTheta_i))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 v v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (*.f32 v sinTheta_i))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_i))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 v v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (*.f32 v sinTheta_i))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 v v)) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v)) sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 v v)) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v)) sinTheta_i)))
(* -1 (* cosTheta_O cosTheta_i))
(neg.f32 (*.f32 cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (*.f32 cosTheta_O cosTheta_i))
(- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) v))) (*.f32 cosTheta_O cosTheta_i))
(- (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 sinTheta_O (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) v))) (*.f32 cosTheta_O cosTheta_i))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 sinTheta_O v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 sinTheta_O v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O))))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 sinTheta_O v))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) v)) sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) v)) sinTheta_O)))
(* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (pow v 2))
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 v sinTheta_i))) (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))
(/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (-.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 cosTheta_O (*.f32 v cosTheta_i))))) (*.f32 v v))
(/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i v))) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))) (pow v 2))
(/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (-.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 cosTheta_O (*.f32 v cosTheta_i))))) (*.f32 v v))
(* -1 (* cosTheta_O cosTheta_i))
(neg.f32 (*.f32 cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (*.f32 cosTheta_O cosTheta_i))
(- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)) (-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (*.f32 cosTheta_O cosTheta_i)))
(- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)) (-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (*.f32 cosTheta_O cosTheta_i)))
(* -1 (* cosTheta_O cosTheta_i))
(neg.f32 (*.f32 cosTheta_O cosTheta_i))
(- (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v) (* cosTheta_O cosTheta_i))
(-.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v) (*.f32 cosTheta_O cosTheta_i))
(- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))
(neg.f32 (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))) v) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v) (*.f32 cosTheta_O cosTheta_i)))
(- (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) (* cosTheta_O cosTheta_i))
(neg.f32 (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))) v) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v) (*.f32 cosTheta_O cosTheta_i)))
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))
(*.f32 sinTheta_i (+.f32 sinTheta_O (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) v)))
(* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))
(*.f32 sinTheta_i (+.f32 sinTheta_O (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) v)))
(* sinTheta_i (+ sinTheta_O (* -1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) v))))
(*.f32 sinTheta_i (+.f32 sinTheta_O (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i)) v)))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v)
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 sinTheta_O sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 sinTheta_O sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 sinTheta_O sinTheta_i)))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v)
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 sinTheta_O sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 sinTheta_O sinTheta_i)))
(* (pow sinTheta_i 2) (+ (* -1/2 (/ (pow sinTheta_O 2) v)) (/ sinTheta_O sinTheta_i)))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 sinTheta_O sinTheta_i)))
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))
(*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) v)))
(* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))
(*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) v)))
(* sinTheta_O (+ sinTheta_i (* -1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) v))))
(*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) v)))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v)
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) v) (/.f32 sinTheta_i sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) v) (/.f32 sinTheta_i sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) v) (/.f32 sinTheta_i sinTheta_O)))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v)
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) v) (/.f32 sinTheta_i sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) v) (/.f32 sinTheta_i sinTheta_O)))
(* (pow sinTheta_O 2) (+ (* -1/2 (/ (pow sinTheta_i 2) v)) (/ sinTheta_i sinTheta_O)))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) v) (/.f32 sinTheta_i sinTheta_O)))
(* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v)
(/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)
(/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O (*.f32 v sinTheta_i))) v)
(/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)
(/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O (*.f32 v sinTheta_i))) v)
(/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* sinTheta_O (* sinTheta_i v))) v)
(/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O (*.f32 v sinTheta_i))) v)
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))
(* sinTheta_O sinTheta_i)
(*.f32 sinTheta_O sinTheta_i)
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))
(+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))
(+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* cosTheta_i (- cosTheta_O (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_i (-.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(*.f32 (+.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(*.f32 (+.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(*.f32 (+.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)) (neg.f32 cosTheta_i))
(* -1 (* cosTheta_i (- (* -1 cosTheta_O) (* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(*.f32 (+.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)) (neg.f32 cosTheta_i))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))
(*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(*.f32 (neg.f32 cosTheta_O) (+.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(*.f32 (neg.f32 cosTheta_O) (+.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(*.f32 (neg.f32 cosTheta_O) (+.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* -1 (* cosTheta_O (- (* -1 cosTheta_i) (* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i))) v)))))
(*.f32 (neg.f32 cosTheta_O) (+.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 cosTheta_i (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v))) v)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))))
(* (pow sinTheta_i 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O)) (*.f32 v sinTheta_i)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v v)))))
(* (pow sinTheta_i 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 v v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (*.f32 v sinTheta_i)))))
(* (pow sinTheta_i 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_i 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 v v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (*.f32 v sinTheta_i)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))))
(* (pow sinTheta_i 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O)) (*.f32 v sinTheta_i)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) (*.f32 v v)))))
(* (pow sinTheta_i 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (neg.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 v v)) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v)) sinTheta_i))))
(* (pow sinTheta_i 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))) sinTheta_i)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_i sinTheta_i) (neg.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i))) (*.f32 v v)) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) v)) sinTheta_i))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) v))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (- (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) v))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))))
(* (pow sinTheta_O 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i))) (*.f32 sinTheta_O v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))))
(* (pow sinTheta_O 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 sinTheta_O v)))))
(* (pow sinTheta_O 2) (- (/ (* cosTheta_O cosTheta_i) (pow sinTheta_O 2)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) (*.f32 sinTheta_O v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))))
(* (pow sinTheta_O 2) (- (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O v))) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i))) (*.f32 sinTheta_O v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))))
(* (pow sinTheta_O 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (neg.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) v)) sinTheta_O))))
(* (pow sinTheta_O 2) (- (* -1 (/ (- (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))) sinTheta_O)) (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (neg.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (-.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_O) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_i)) v)) sinTheta_O))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))))
(/ (- (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/.f32 (-.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O (*.f32 v sinTheta_i)))) (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v))
(/ (- (* v (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/.f32 (+.f32 (*.f32 v (*.f32 cosTheta_O (-.f32 (*.f32 v cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))
(/ (- (* v (- (* cosTheta_O (* cosTheta_i v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))
(/.f32 (+.f32 (*.f32 v (*.f32 cosTheta_O (-.f32 (*.f32 v cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v))
(- (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)))
(- (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)))) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v))
(+ (* -1 (/ (- (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v))
(+ (* -1 (/ (- (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* cosTheta_O cosTheta_i))
(-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) (*.f32 v v))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -7/360 binary32))) (pow.f32 v #s(literal 4 binary32)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (+.f32 (+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/12 binary32)) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -7/360 binary32))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -7/360 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/840 binary32)))) (pow.f32 v #s(literal 6 binary32)))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/12 binary32)) (*.f32 v v))) (neg.f32 v))
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(*.f32 v v)
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))
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(+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))
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(+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))
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(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))
(*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i))))
(* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))
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(* sinTheta_i (+ (* 1/6 (/ (pow sinTheta_O 3) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2))))))
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(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))
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(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v)))) (neg.f32 sinTheta_i))
(* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* sinTheta_i (pow v 2)))) (* -1/6 (/ (pow sinTheta_O 3) (pow v 3))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v)))) (neg.f32 sinTheta_i))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))
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(* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))))
(* (pow sinTheta_O 2) (+ (* 1/6 (/ (* sinTheta_O sinTheta_i) (pow v 3))) (* 1/2 (/ 1 (pow v 2)))))
(*.f32 (*.f32 sinTheta_O sinTheta_O) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))
(*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 sinTheta_i (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))))
(* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))
(*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 sinTheta_i (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))))
(* (pow sinTheta_O 3) (+ (* 1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2))))))
(*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (+.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 sinTheta_i (*.f32 v (*.f32 v v)))) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
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(* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_i) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))
(* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_i) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))
(* -1 (* (pow sinTheta_O 3) (- (* -1/6 (/ sinTheta_i (pow v 3))) (* 1/2 (/ 1 (* sinTheta_O (pow v 2)))))))
(*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_i) (*.f32 v (*.f32 v v))) (/.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O (*.f32 v v)))) (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))
(* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v)))
(/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) v))) (*.f32 v (*.f32 v v)))
(/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) v))) (*.f32 v (*.f32 v v)))
(/ (+ (* 1/6 (* (pow sinTheta_O 3) sinTheta_i)) (* 1/2 (* (pow sinTheta_O 2) v))) (pow v 3))
(/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) v))) (*.f32 v (*.f32 v v)))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(* 1/2 (/ (pow sinTheta_O 2) (pow v 2)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(/ (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) v)) (* 1/2 (pow sinTheta_O 2))) (pow v 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) v) (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (+ 1 (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))) (/ sinTheta_O v)))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) sinTheta_i)) (*.f32 v (*.f32 v v))))) (/.f32 sinTheta_O v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O (*.f32 v cosTheta_i))) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* v (+ (* -18 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
(*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) (*.f32 cosTheta_O (*.f32 v cosTheta_i))) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) (pow.f32 sinTheta_i #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(* v (+ (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* -1/2 (* v (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))))))
(*.f32 v (+.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) (pow.f32 sinTheta_i #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 (*.f32 #s(literal -1/2 binary32) v) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 5 binary32)) (pow.f32 sinTheta_i #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal -36 binary32)))))))
(* v (+ (* 6 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -18 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* v (+ (* -1/2 (* v (+ (* -216 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -3 (/ (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* sinTheta_O sinTheta_i))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (* -1/2 (+ (* -108 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 72 (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))))))))
(*.f32 v (+.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) (pow.f32 sinTheta_i #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 v (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -216 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 6 binary32)) (pow.f32 sinTheta_i #s(literal 6 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (+.f32 (/.f32 (*.f32 #s(literal -3 binary32) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 5 binary32)) (pow.f32 sinTheta_i #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal -36 binary32))) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 #s(literal 72 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 6 binary32)) (pow.f32 sinTheta_i #s(literal 6 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 5 binary32)) (pow.f32 sinTheta_i #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) #s(literal -36 binary32)))))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (pow v 3))) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* cosTheta_O (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v) (+.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 1/6 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))))))) (*.f32 v (*.f32 v v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (+.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 cosTheta_i (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32)))))) v)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (* 1/2 (/ (+ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) (+ (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_O (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))))) v))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 v (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O (*.f32 v cosTheta_i))) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 3))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i))) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O (*.f32 v cosTheta_i))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))
(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i))) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (+.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O (*.f32 v cosTheta_i))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 v v))) (pow.f32 sinTheta_O #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -36 binary32))) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))
(/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (+ (* -1/2 (/ (+ (* -216 (/ (* cosTheta_O (* cosTheta_i (pow v 4))) (* (pow sinTheta_O 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -3 (/ (* v (+ (* -108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) sinTheta_O)) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 4))) (* (pow sinTheta_O 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3))) (+ (* -1/2 (/ (+ (* -108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2))) (* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (pow sinTheta_i 3))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i))) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O (*.f32 v cosTheta_i))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 v v))) (pow.f32 sinTheta_O #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -36 binary32))) (*.f32 sinTheta_i sinTheta_i))) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 #s(literal -216 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 sinTheta_O #s(literal 6 binary32)))) (+.f32 (/.f32 (*.f32 #s(literal -3 binary32) (*.f32 v (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 v v))) (pow.f32 sinTheta_O #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -36 binary32)))) sinTheta_O) (*.f32 #s(literal 72 binary32) (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))) (pow.f32 sinTheta_O #s(literal 6 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))
(* 6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal 6 binary32) (*.f32 cosTheta_O (*.f32 v cosTheta_i))) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* -1 (/ (+ (* -6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3)))
(/.f32 (+.f32 (*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 v cosTheta_i)) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -6 binary32)) (/.f32 (*.f32 #s(literal 18 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i))) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (neg.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))
(* -1 (/ (+ (* -6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_O 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (+ (* -72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_i))) sinTheta_i))) (pow sinTheta_i 3)))
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(* -1 (/ (+ (* -6 (/ (* cosTheta_O (* cosTheta_i v)) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (+ (* -72 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 108 (/ (* cosTheta_O (* cosTheta_i (pow v 3))) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) sinTheta_O))) sinTheta_O))) (pow sinTheta_O 3)))
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(* -6 (/ v (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal -6 binary32) v) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* v (- (* 18 (/ v (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 6 (/ 1 (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
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(* v (- (* v (+ (* -18 (/ v (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 18 (/ 1 (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 6 (/ 1 (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
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(* v (- (* v (+ (* v (- (* -18 (/ v (* (pow sinTheta_O 6) (* (pow sinTheta_i 6) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* 18 (/ 1 (* (pow sinTheta_O 5) (* (pow sinTheta_i 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 18 (/ 1 (* (pow sinTheta_O 4) (* (pow sinTheta_i 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (* 6 (/ 1 (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))
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(/ -1/2 v)
(/.f32 #s(literal -1/2 binary32) v)
(/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) v)
(/ (- (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (+ 1/6 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))) 1/2) v)
(/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))) #s(literal -1/2 binary32)) v)
(/ (- (+ (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (+ 1/6 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))) (* 1/2 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (+ (* -1 (* sinTheta_O (* sinTheta_i (+ 1/6 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3))))) 1/2) v)
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(/ -1/2 v)
(/.f32 #s(literal -1/2 binary32) v)
(* -1 (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) (neg.f32 v))
(* -1 (/ (+ 1/2 (* -1 (/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (- 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
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(* -1 (/ (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/2 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (- 1/6 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (+ (* 1/6 (* sinTheta_O sinTheta_i)) (+ (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v))) v))
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(/ -1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(- (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v (*.f32 v v)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(- (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (+ (* -1/6 (/ (pow sinTheta_O 3) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 3) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (+ (* -1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(* -6 (/ v (* (pow sinTheta_O 3) (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
(/.f32 (*.f32 #s(literal -6 binary32) v) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (+ (* -6 (/ v (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 18 (/ (pow v 2) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -6 binary32) v) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 #s(literal 18 binary32) (*.f32 v v)) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 4 binary32)) sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))
(/ (- (+ (* -6 (/ v (* (pow sinTheta_O 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1 (/ (+ (* -36 (/ (pow v 3) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 54 (/ (pow v 3) (* (pow sinTheta_O 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (pow sinTheta_i 2)))) (* -18 (/ (pow v 2) (* (pow sinTheta_O 4) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (pow sinTheta_i 3))
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(/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) v)
(/ (+ 1/3 (* 2 (pow v 2))) v)
(/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) v)
(* 2 v)
(*.f32 #s(literal 2 binary32) v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* 2 v)
(*.f32 #s(literal 2 binary32) v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* 3 v)
(*.f32 v #s(literal 3 binary32))
(* v (+ 3 (* -18 (pow v 2))))
(*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) #s(literal -18 binary32))))
(* v (+ 3 (* (pow v 2) (- (* 108 (pow v 2)) 18))))
(*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) (+.f32 (*.f32 (*.f32 v v) #s(literal 108 binary32)) #s(literal -18 binary32)))))
(* v (+ 3 (* (pow v 2) (- (* (pow v 2) (+ 108 (* -648 (pow v 2)))) 18))))
(*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) (+.f32 (*.f32 (*.f32 v v) (+.f32 #s(literal 108 binary32) (*.f32 (*.f32 v v) #s(literal -648 binary32)))) #s(literal -18 binary32)))))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ (- 1/2 (* 1/12 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))) v)
(/ (- (+ 1/2 (/ 1/72 (pow v 4))) (* 1/12 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/72 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal -1/12 binary32) (*.f32 v v))) v)
(/ (- (+ 1/2 (/ 1/72 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 1/432 (/ 1 (pow v 6))))) v)
(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/72 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) (/.f32 #s(literal 1/432 binary32) (pow.f32 v #s(literal 6 binary32))))) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) 1/2) v))
(/.f32 (+.f32 (/.f32 #s(literal -1/12 binary32) (*.f32 v v)) #s(literal 1/2 binary32)) v)
(* -1 (/ (- (* 1/12 (/ 1 (pow v 2))) (+ 1/2 (/ 1/72 (pow v 4)))) v))
(/.f32 (-.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/72 binary32) (pow.f32 v #s(literal 4 binary32))))) (neg.f32 v))
(* -1 (/ (- (+ (* 1/12 (/ 1 (pow v 2))) (* 1/432 (/ 1 (pow v 6)))) (+ 1/2 (/ 1/72 (pow v 4)))) v))
(/.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) (*.f32 v v)) (-.f32 (/.f32 #s(literal 1/432 binary32) (pow.f32 v #s(literal 6 binary32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/72 binary32) (pow.f32 v #s(literal 4 binary32)))))) (neg.f32 v))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 (/ (* cosTheta_O cosTheta_i) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* cosTheta_O (* cosTheta_i v))
(*.f32 cosTheta_O (*.f32 v cosTheta_i))
(* v (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i)))
(*.f32 v (+.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))))
(* v (- (+ (* -1 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
(*.f32 v (+.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))))
(* v (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* cosTheta_O cosTheta_i)) (+ (* -1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))))
(*.f32 v (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -7/360 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/840 binary32))) (pow.f32 v #s(literal 6 binary32)))) (+.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/36 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/120 binary32)) (pow.f32 v #s(literal 4 binary32)))))))
(* cosTheta_O (* cosTheta_i v))
(*.f32 cosTheta_O (*.f32 v cosTheta_i))
(* -1 (* v (+ (* -1 (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v)) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v))
(* -1 (* v (- (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4)))) (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))
(*.f32 (+.f32 (-.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 7/360 binary32))) (pow.f32 v #s(literal 4 binary32))) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) (neg.f32 v))
(* -1 (* v (- (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6)))) (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))))))))
(*.f32 (-.f32 (-.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 7/360 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/840 binary32))) (pow.f32 v #s(literal 6 binary32)))) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v)) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 v #s(literal 4 binary32))) #s(literal 7/360 binary32)))) (neg.f32 v))

eval335.0ms (1.6%)

Compiler

Compiled 116358 to 7767 computations (93.3% saved)

prune583.0ms (2.7%)

Pruning

73 alts after pruning (70 fresh and 3 done)

PrunedKeptTotal
New2511362547
Fresh253459
Picked415
Done123
Total2541732614
Accuracy
99.9%
Counts
2614 → 73
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
98.0%
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 v #s(literal 1/2 binary32)))
98.7%
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
67.3%
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
98.4%
(/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) (neg.f32 v)) v) (*.f32 v (*.f32 cosTheta_i (neg.f32 cosTheta_O)))) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
89.1%
(/.f32 (/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) #s(literal -1 binary32))) v) #s(literal 2 binary32))
98.5%
(/.f32 (/.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_O)) (*.f32 (*.f32 v v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))))
98.6%
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
98.4%
(/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O)) v))
95.7%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v v) (+.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (/.f32 #s(literal -1 binary32) v)) (*.f32 v (*.f32 cosTheta_i cosTheta_O))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
98.5%
(/.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))))))) (neg.f32 (*.f32 cosTheta_i cosTheta_O))) v)
98.3%
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
55.4%
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
✓55.4%
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
48.6%
(/.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v)
65.4%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
60.2%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))))
93.4%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (*.f32 (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32)))))))
93.3%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (exp.f32 (*.f32 (log.f32 v) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
93.5%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
93.6%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
93.6%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
55.5%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
55.5%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
93.5%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
93.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (*.f32 (/.f32 cosTheta_i (*.f32 v v)) (neg.f32 cosTheta_O))))
93.8%
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))) (/.f32 #s(literal 1/2 binary32) v)))))
65.4%
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i)))) (neg.f32 (*.f32 v v))) (/.f32 #s(literal -2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v)))
60.2%
(/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 #s(literal 1/3 binary32) cosTheta_O) (*.f32 (*.f32 v v) cosTheta_i)))))
55.5%
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
96.1%
(*.f32 (pow.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.0%
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1 binary32) v))
98.3%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 #s(literal 1/2 binary32) v))
98.3%
(*.f32 (/.f32 (/.f32 cosTheta_i v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
93.2%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v))))
98.5%
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))
98.2%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1/2 binary32)) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/4 binary32))) v)) (*.f32 v v)))
98.6%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.5%
(*.f32 (/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
98.6%
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
55.3%
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
55.4%
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
67.2%
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) v))
61.0%
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 (/.f32 cosTheta_i v) v))
55.4%
(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) v))
✓98.3%
(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
94.1%
(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 v v) cosTheta_i)) #s(literal -1 binary32))))
55.4%
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
55.4%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
61.0%
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
98.4%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
98.9%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
67.3%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
98.7%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (exp.f32 (*.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal -1 binary32))))))
98.9%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
67.3%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
98.7%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))))
67.3%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
98.4%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (*.f32 (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))))) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
55.4%
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
61.0%
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
67.3%
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
67.3%
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
49.2%
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) (+.f32 (*.f32 (*.f32 v v) (+.f32 #s(literal 108 binary32) (*.f32 (*.f32 v v) #s(literal -648 binary32)))) #s(literal -18 binary32))))))
50.5%
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) #s(literal -18 binary32)))))
98.4%
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
61.0%
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
55.3%
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
✓55.3%
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
55.3%
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
55.3%
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
55.3%
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
89.0%
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 v v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))
Compiler

Compiled 6509 to 2162 computations (66.8% saved)

regimes455.0ms (2.1%)

Counts
159 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v)
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 #s(literal 1/3 binary32) cosTheta_O) (*.f32 (*.f32 v v) cosTheta_i)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))))
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
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(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 v v) cosTheta_i)) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (exp.f32 (*.f32 (log.f32 v) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (neg.f32 (*.f32 (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32)))))))
(exp.f32 (*.f32 (+.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) (log.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) #s(literal -1 binary32)))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (exp.f32 (*.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 v v) #s(literal 1/2 binary32)))) #s(literal -1 binary32))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (exp.f32 (*.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal -1 binary32))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (*.f32 (log.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))))) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (exp.f32 (*.f32 (log.f32 (/.f32 v (/.f32 cosTheta_i v))) #s(literal -1 binary32))))
(/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32))) #s(literal 2 binary32))
(/.f32 (/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))) #s(literal -1 binary32))) v) #s(literal 2 binary32))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (exp.f32 (neg.f32 (*.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32)))))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) (*.f32 v #s(literal 2 binary32))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal -1 binary32))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
Outputs
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
Calls

8 calls:

50.0ms
cosTheta_O
50.0ms
sinTheta_i
46.0ms
sinTheta_O
42.0ms
cosTheta_i
42.0ms
v
Results
AccuracySegmentsBranch
98.9%1cosTheta_i
98.9%1cosTheta_O
98.9%1sinTheta_i
98.9%1sinTheta_O
98.9%1v
98.9%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.9%1(*.f32 sinTheta_i sinTheta_O)
98.9%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes270.0ms (1.3%)

Counts
102 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v)
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 #s(literal 1/3 binary32) cosTheta_O) (*.f32 (*.f32 v v) cosTheta_i)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))))
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i)))) (neg.f32 (*.f32 v v))) (/.f32 #s(literal -2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))) #s(literal -1/2 binary32)) v))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) #s(literal -18 binary32)))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) (+.f32 (*.f32 (*.f32 v v) (+.f32 #s(literal 108 binary32) (*.f32 (*.f32 v v) #s(literal -648 binary32)))) #s(literal -18 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))))) v)
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 (*.f32 v v) cosTheta_i)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O)) v))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O)))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 v #s(literal 1/2 binary32)))
(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) v)
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 cosTheta_O #s(literal 1 binary32)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 v v) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (*.f32 (/.f32 cosTheta_i (*.f32 v v)) (neg.f32 cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O)) (*.f32 v v)) (*.f32 #s(literal 1 binary32) cosTheta_i)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1/2 binary32)) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/4 binary32))) v)) (*.f32 v v)))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) v) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 v))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) v) (/.f32 v #s(literal -1/2 binary32))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 v (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (+.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (/.f32 (+.f32 (*.f32 v (*.f32 cosTheta_O (-.f32 (*.f32 v cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v)) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) (neg.f32 v)) v) (*.f32 v (*.f32 cosTheta_i (neg.f32 cosTheta_O)))) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v v) (+.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (/.f32 #s(literal -1 binary32) v)) (*.f32 v (*.f32 cosTheta_i cosTheta_O))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 sinTheta_i sinTheta_i))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))))))) (neg.f32 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))) (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))))))) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
Outputs
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
Calls

7 calls:

35.0ms
(*.f32 cosTheta_i cosTheta_O)
34.0ms
v
31.0ms
cosTheta_O
29.0ms
sinTheta_i
28.0ms
cosTheta_i
Results
AccuracySegmentsBranch
98.9%1sinTheta_i
98.9%1(*.f32 sinTheta_i sinTheta_O)
98.9%1(*.f32 cosTheta_i cosTheta_O)
98.9%1cosTheta_i
98.9%1cosTheta_O
98.9%1sinTheta_O
98.9%1v
Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes237.0ms (1.1%)

Counts
101 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
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(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 #s(literal -1 binary32) (/.f32 v (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (+.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (/.f32 (+.f32 (*.f32 v (*.f32 cosTheta_O (-.f32 (*.f32 v cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v)) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) (neg.f32 v)) v) (*.f32 v (*.f32 cosTheta_i (neg.f32 cosTheta_O)))) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v v) (+.f32 (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (/.f32 #s(literal -1 binary32) v)) (*.f32 v (*.f32 cosTheta_i cosTheta_O))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (/.f32 (/.f32 cosTheta_O (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (+.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v (*.f32 v v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 (*.f32 v v) sinTheta_i))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 sinTheta_i sinTheta_i))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))))))) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))))))) (neg.f32 (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/6 binary32))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))))) (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v)))))))) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
Outputs
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
Calls

7 calls:

33.0ms
cosTheta_i
29.0ms
sinTheta_i
29.0ms
sinTheta_O
28.0ms
cosTheta_O
28.0ms
(*.f32 sinTheta_i sinTheta_O)
Results
AccuracySegmentsBranch
98.9%1cosTheta_i
98.9%1cosTheta_O
98.9%1sinTheta_i
98.9%1sinTheta_O
98.9%1v
98.9%1(*.f32 sinTheta_i sinTheta_O)
98.9%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes469.0ms (2.2%)

Counts
82 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v)
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 #s(literal 1/3 binary32) cosTheta_O) (*.f32 (*.f32 v v) cosTheta_i)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))))
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i)))) (neg.f32 (*.f32 v v))) (/.f32 #s(literal -2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))) #s(literal -1/2 binary32)) v))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) #s(literal -18 binary32)))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) (+.f32 (*.f32 (*.f32 v v) (+.f32 #s(literal 108 binary32) (*.f32 (*.f32 v v) #s(literal -648 binary32)))) #s(literal -18 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))))) v)
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 (*.f32 v v) cosTheta_i)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O)) v))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O)))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 v #s(literal 1/2 binary32)))
(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) v)
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 cosTheta_O #s(literal 1 binary32)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 v v) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (*.f32 (/.f32 cosTheta_i (*.f32 v v)) (neg.f32 cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O)) (*.f32 v v)) (*.f32 #s(literal 1 binary32) cosTheta_i)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1/2 binary32)) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/4 binary32))) v)) (*.f32 v v)))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) v) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 v))
Outputs
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) v) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
Calls

7 calls:

297.0ms
cosTheta_O
31.0ms
sinTheta_i
28.0ms
sinTheta_O
24.0ms
v
24.0ms
cosTheta_i
Results
AccuracySegmentsBranch
98.7%1sinTheta_i
98.7%1(*.f32 sinTheta_i sinTheta_O)
98.7%1cosTheta_i
98.7%1cosTheta_O
98.7%1sinTheta_O
98.7%1v
98.7%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes224.0ms (1%)

Counts
79 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v)
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 #s(literal 1/3 binary32) cosTheta_O) (*.f32 (*.f32 v v) cosTheta_i)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))))
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i)))) (neg.f32 (*.f32 v v))) (/.f32 #s(literal -2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))) #s(literal -1/2 binary32)) v))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) #s(literal -18 binary32)))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) (+.f32 (*.f32 (*.f32 v v) (+.f32 #s(literal 108 binary32) (*.f32 (*.f32 v v) #s(literal -648 binary32)))) #s(literal -18 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))))) v)
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 (*.f32 v v) cosTheta_i)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O)) v))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O)))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 v #s(literal 1/2 binary32)))
(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) v)
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 cosTheta_O #s(literal 1 binary32)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 v v) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (*.f32 (/.f32 cosTheta_i (*.f32 v v)) (neg.f32 cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O)) (*.f32 v v)) (*.f32 #s(literal 1 binary32) cosTheta_i)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O (-.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v))) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 1/2 binary32)) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/4 binary32))) v)) (*.f32 v v)))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (/.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v)))) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_O (+.f32 sinTheta_i (/.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O)) v) #s(literal -2 binary32)))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
Outputs
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))))
Calls

7 calls:

59.0ms
sinTheta_O
26.0ms
sinTheta_i
23.0ms
cosTheta_O
23.0ms
cosTheta_i
22.0ms
v
Results
AccuracySegmentsBranch
98.7%1cosTheta_i
98.7%1cosTheta_O
98.7%1sinTheta_i
98.7%1sinTheta_O
98.7%1v
98.7%1(*.f32 sinTheta_i sinTheta_O)
98.7%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes143.0ms (0.7%)

Counts
73 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v)
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 #s(literal 1/3 binary32) cosTheta_O) (*.f32 (*.f32 v v) cosTheta_i)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))))
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i)))) (neg.f32 (*.f32 v v))) (/.f32 #s(literal -2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))) #s(literal -1/2 binary32)) v))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) #s(literal -18 binary32)))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) (+.f32 (*.f32 (*.f32 v v) (+.f32 #s(literal 108 binary32) (*.f32 (*.f32 v v) #s(literal -648 binary32)))) #s(literal -18 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))))) v)
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 (*.f32 v v) cosTheta_i)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_O))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O)) v))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O)))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 v #s(literal 1/2 binary32)))
(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) v)
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 cosTheta_O #s(literal 1 binary32)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 v v) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (*.f32 (/.f32 cosTheta_i (*.f32 v v)) (neg.f32 cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O)) (*.f32 v v)) (*.f32 #s(literal 1 binary32) cosTheta_i)))
Outputs
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
Calls

6 calls:

26.0ms
cosTheta_O
21.0ms
v
21.0ms
sinTheta_O
21.0ms
cosTheta_i
21.0ms
sinTheta_i
Results
AccuracySegmentsBranch
98.6%1cosTheta_i
98.6%1cosTheta_O
98.6%1sinTheta_i
98.6%1sinTheta_O
98.6%1v
98.6%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes139.0ms (0.6%)

Counts
53 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v)
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 #s(literal 1/3 binary32) cosTheta_O) (*.f32 (*.f32 v v) cosTheta_i)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))))
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i)))) (neg.f32 (*.f32 v v))) (/.f32 #s(literal -2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))) #s(literal -1/2 binary32)) v))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) #s(literal -18 binary32)))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) (+.f32 (*.f32 (*.f32 v v) (+.f32 #s(literal 108 binary32) (*.f32 (*.f32 v v) #s(literal -648 binary32)))) #s(literal -18 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))))) v)
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 (*.f32 v v) cosTheta_i)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
Outputs
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
Calls

6 calls:

44.0ms
sinTheta_i
16.0ms
v
16.0ms
sinTheta_O
15.0ms
cosTheta_i
15.0ms
cosTheta_O
Results
AccuracySegmentsBranch
98.6%1cosTheta_i
98.6%1cosTheta_O
98.6%1sinTheta_i
98.6%1(*.f32 cosTheta_i cosTheta_O)
98.6%1sinTheta_O
98.6%1v
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes138.0ms (0.6%)

Counts
52 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v)
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 #s(literal 1/3 binary32) cosTheta_O) (*.f32 (*.f32 v v) cosTheta_i)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))))
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i)))) (neg.f32 (*.f32 v v))) (/.f32 #s(literal -2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))) #s(literal -1/2 binary32)) v))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) #s(literal -18 binary32)))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) (+.f32 (*.f32 (*.f32 v v) (+.f32 #s(literal 108 binary32) (*.f32 (*.f32 v v) #s(literal -648 binary32)))) #s(literal -18 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))))) v)
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 (*.f32 v v) cosTheta_i)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
Outputs
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
Calls

6 calls:

22.0ms
cosTheta_O
17.0ms
sinTheta_i
17.0ms
sinTheta_O
16.0ms
v
14.0ms
cosTheta_i
Results
AccuracySegmentsBranch
98.5%1cosTheta_i
98.5%1cosTheta_O
98.5%1sinTheta_i
98.5%1sinTheta_O
98.5%1v
98.5%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes94.0ms (0.4%)

Counts
47 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v)
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 #s(literal 1/3 binary32) cosTheta_O) (*.f32 (*.f32 v v) cosTheta_i)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))))
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i)))) (neg.f32 (*.f32 v v))) (/.f32 #s(literal -2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))) #s(literal -1/2 binary32)) v))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) #s(literal -18 binary32)))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) (+.f32 (*.f32 (*.f32 v v) (+.f32 #s(literal 108 binary32) (*.f32 (*.f32 v v) #s(literal -648 binary32)))) #s(literal -18 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) #s(literal -1/6 binary32))))) v)) v)) (neg.f32 v))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v) (*.f32 v #s(literal 2 binary32))))
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v v))))) v)
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v (/.f32 v #s(literal 1/2 binary32))))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (*.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (/.f32 #s(literal 1/2 binary32) v)) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32)))
Outputs
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
Calls

6 calls:

20.0ms
cosTheta_O
15.0ms
sinTheta_i
14.0ms
v
14.0ms
cosTheta_i
13.0ms
sinTheta_O
Results
AccuracySegmentsBranch
67.3%1(*.f32 cosTheta_i cosTheta_O)
67.3%1cosTheta_i
67.3%1cosTheta_O
67.3%1sinTheta_i
67.3%1sinTheta_O
67.3%1v
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes101.0ms (0.5%)

Counts
36 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v)
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 #s(literal 1/3 binary32) cosTheta_O) (*.f32 (*.f32 v v) cosTheta_i)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))))
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v)))))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i)))) (neg.f32 (*.f32 v v))) (/.f32 #s(literal -2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) v))) v)) (neg.f32 v)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)) (/.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))) #s(literal -1/2 binary32)) v))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (+.f32 #s(literal 3 binary32) (*.f32 (*.f32 v v) #s(literal -18 binary32)))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (/.f32 #s(literal -1/2 binary32) v)))) v) (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
Outputs
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) v))
Calls

6 calls:

34.0ms
cosTheta_i
20.0ms
(*.f32 cosTheta_i cosTheta_O)
12.0ms
sinTheta_i
11.0ms
cosTheta_O
10.0ms
sinTheta_O
Results
AccuracySegmentsBranch
67.2%1(*.f32 cosTheta_i cosTheta_O)
67.2%1cosTheta_i
67.2%1v
67.2%1sinTheta_i
67.2%1sinTheta_O
67.2%1cosTheta_O
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes57.0ms (0.3%)

Counts
28 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v)
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 #s(literal 1/3 binary32) cosTheta_O) (*.f32 (*.f32 v v) cosTheta_i)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))))
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
Outputs
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
Calls

6 calls:

10.0ms
cosTheta_O
10.0ms
sinTheta_O
9.0ms
cosTheta_i
9.0ms
sinTheta_i
8.0ms
v
Results
AccuracySegmentsBranch
61.0%1cosTheta_i
61.0%1v
61.0%1sinTheta_i
61.0%1(*.f32 cosTheta_i cosTheta_O)
61.0%1cosTheta_O
61.0%1sinTheta_O
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes56.0ms (0.3%)

Counts
27 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v)
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 (/.f32 cosTheta_i v) v))
(/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (/.f32 #s(literal 1/3 binary32) cosTheta_O) (*.f32 (*.f32 v v) cosTheta_i)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v v) #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))))
Outputs
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 (/.f32 cosTheta_i v) v))
Calls

6 calls:

11.0ms
cosTheta_O
9.0ms
sinTheta_i
9.0ms
v
9.0ms
sinTheta_O
8.0ms
cosTheta_i
Results
AccuracySegmentsBranch
61.0%1sinTheta_i
61.0%1cosTheta_i
61.0%1sinTheta_O
61.0%1(*.f32 cosTheta_i cosTheta_O)
61.0%1v
61.0%1cosTheta_O
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes69.0ms (0.3%)

Counts
24 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (*.f32 (*.f32 #s(literal 3/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i))) v)
Outputs
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
Calls

6 calls:

24.0ms
sinTheta_O
9.0ms
cosTheta_i
7.0ms
cosTheta_O
7.0ms
sinTheta_i
7.0ms
v
Results
AccuracySegmentsBranch
61.0%1sinTheta_O
61.0%1sinTheta_i
61.0%1cosTheta_i
61.0%1v
61.0%1(*.f32 cosTheta_i cosTheta_O)
61.0%1cosTheta_O
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes60.0ms (0.3%)

Counts
21 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (*.f32 (*.f32 cosTheta_O #s(literal 1/2 binary32)) v) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) v))
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
Calls

6 calls:

20.0ms
v
12.0ms
cosTheta_i
7.0ms
sinTheta_O
6.0ms
cosTheta_O
6.0ms
sinTheta_i
Results
AccuracySegmentsBranch
55.5%1sinTheta_O
55.5%1sinTheta_i
55.5%1cosTheta_i
55.5%1(*.f32 cosTheta_i cosTheta_O)
55.5%1v
55.5%1cosTheta_O
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes37.0ms (0.2%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
Outputs
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
Calls

6 calls:

7.0ms
sinTheta_i
6.0ms
(*.f32 cosTheta_i cosTheta_O)
6.0ms
cosTheta_i
6.0ms
v
6.0ms
cosTheta_O
Results
AccuracySegmentsBranch
55.5%1cosTheta_O
55.5%1sinTheta_i
55.5%1sinTheta_O
55.5%1v
55.5%1(*.f32 cosTheta_i cosTheta_O)
55.5%1cosTheta_i
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes40.0ms (0.2%)

Counts
16 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_O)) cosTheta_i)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) cosTheta_O) v)
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v cosTheta_i))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) v) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32)))))
Outputs
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
Calls

6 calls:

9.0ms
sinTheta_O
8.0ms
(*.f32 cosTheta_i cosTheta_O)
6.0ms
v
5.0ms
cosTheta_i
5.0ms
sinTheta_i
Results
AccuracySegmentsBranch
55.5%1cosTheta_O
55.5%1(*.f32 cosTheta_i cosTheta_O)
55.5%1sinTheta_i
55.5%1v
55.5%1cosTheta_i
55.5%1sinTheta_O
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes23.0ms (0.1%)

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

6 calls:

6.0ms
cosTheta_O
4.0ms
cosTheta_i
3.0ms
sinTheta_O
3.0ms
sinTheta_i
3.0ms
v
Results
AccuracySegmentsBranch
55.4%1cosTheta_O
55.4%1(*.f32 cosTheta_i cosTheta_O)
55.4%1sinTheta_i
55.4%1v
55.4%1cosTheta_i
55.4%1sinTheta_O
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes12.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
Outputs
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
Calls

5 calls:

3.0ms
cosTheta_O
2.0ms
sinTheta_O
2.0ms
sinTheta_i
2.0ms
v
2.0ms
cosTheta_i
Results
AccuracySegmentsBranch
55.4%1cosTheta_O
55.4%1sinTheta_O
55.4%1v
55.4%1cosTheta_i
55.4%1sinTheta_i
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes10.0ms (0%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O (/.f32 v cosTheta_i)))
Outputs
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
Calls

5 calls:

2.0ms
cosTheta_i
2.0ms
v
2.0ms
sinTheta_i
2.0ms
sinTheta_O
2.0ms
cosTheta_O
Results
AccuracySegmentsBranch
55.3%1cosTheta_O
55.3%1v
55.3%1sinTheta_O
55.3%1sinTheta_i
55.3%1cosTheta_i
Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify150.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
998×distribute-lft-neg-in_binary32
742×neg-mul-1_binary32
586×neg-sub0_binary32
470×distribute-rgt-neg-in_binary32
392×distribute-neg-in_binary32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0128410
1214408
2280406
3393405
4603401
5969401
61441401
71987401
82507401
92933401
103187401
113364401
123378401
133379401
143379401
153472401
163496401
173496401
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) v) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
Outputs
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) v))))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))))))))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) (*.f32 v v))))))))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 sinTheta_i (+.f32 (/.f32 sinTheta_O v) (*.f32 sinTheta_i (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) #s(literal 1/2 binary32)) (*.f32 v v)))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) v) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))))
(*.f32 (-.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (+.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_O))) (/.f32 v #s(literal -1/2 binary32))))) v) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) (*.f32 v (-.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (*.f32 v v)) #s(literal -2 binary32)))))
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (neg.f32 (*.f32 v v))) #s(literal -2 binary32)) (neg.f32 v))) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 cosTheta_O (/.f32 (-.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (*.f32 v v)) #s(literal -2 binary32)) v)) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (-.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O))) v)) (/.f32 #s(literal 1 binary32) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (*.f32 cosTheta_O #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 cosTheta_i (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))

soundness4.3s (20%)

Rules
7328×*-lowering-*.f32
7328×*-lowering-*.f64
7218×/-lowering-/.f32
7218×/-lowering-/.f64
5866×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059316
1299287
22403272
08585272
01855
17455
249055
3612355
0810555
067349
1342318
22714315
09278315
0125121234
1467119740
0832519740
0115519626
1432217964
0895017964
01921
15621
218719
377519
4308319
5383019
6590719
0912819
073415
1389373
22735357
08320357
0137720952
1514119520
0812919520
03493682
112603413
255813401
080873401
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1579 to 975 computations (38.3% saved)

preprocess293.0ms (1.4%)

Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_O)

(negabs cosTheta_i)

Compiler

Compiled 6794 to 3814 computations (43.9% saved)

end0.0ms (0%)

Profiling

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