HairBSDF, Mp, upper

Time bar (total: 18.4s)

analyze977.0ms (5.3%)

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: 529.0ms
ival-div: 104.0ms (19.7% of total)
...c/correct-round.rkt:119:19: 104.0ms (19.7% of total)
ival-mult: 98.0ms (18.5% of total)
ival-<=: 77.0ms (14.6% of total)
ival-sinh: 52.0ms (9.8% of total)
ival-and: 31.0ms (5.9% of total)
ival-exp: 26.0ms (4.9% of total)
ival-neg: 15.0ms (2.8% of total)
ival-<: 13.0ms (2.5% of total)
const: 6.0ms (1.1% of total)
backward-pass: 2.0ms (0.4% of total)

sample3.0s (16.6%)

Results
2.5s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-div: 364.0ms (21.8% of total)
...c/correct-round.rkt:119:19: 323.0ms (19.4% of total)
ival-mult: 320.0ms (19.2% of total)
ival-<=: 258.0ms (15.5% of total)
ival-sinh: 126.0ms (7.6% of total)
ival-and: 89.0ms (5.3% of total)
ival-exp: 73.0ms (4.4% of total)
ival-neg: 61.0ms (3.7% of total)
ival-<: 32.0ms (1.9% of total)
const: 17.0ms (1% of total)
backward-pass: 4.0ms (0.2% of total)
Bogosity

preprocess306.0ms (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
5382919
6591019
0913119
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)

explain214.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
01(2.6695723564448477e-25 2.4472273727803787e-21 8.854612794850047e-32 3.292284313810163e-28 0.7221600413322449)0-(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
00-0-(sinh.f32 (/.f32 #s(literal 1 binary32) v))
00-0-cosTheta_O
01(1.0567580337877129e-32 8.446185724823806e-17 -9.27478996382014e-11 -2.0412530431045582e-36 0.11678307503461838)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
142.0ms512×0valid
Compiler

Compiled 223 to 59 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 23.0ms (40.2% of total)
ival-div: 21.0ms (36.7% of total)
ival-sinh: 5.0ms (8.7% of total)
ival-exp: 4.0ms (7% of total)
ival-neg: 3.0ms (5.2% of total)
const: 1.0ms (1.7% 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
▶98.5%
(/.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)

simplify212.0ms (1.2%)

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)

localize92.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
✓accuracy99.2%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy99.2%
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓accuracy97.7%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Results
75.0ms256×0valid
Compiler

Compiled 86 to 19 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 9.0ms (42.7% of total)
ival-mult: 7.0ms (33.2% of total)
ival-sinh: 3.0ms (14.2% of total)
ival-exp: 2.0ms (9.5% of total)
const: 1.0ms (4.7% of total)
backward-pass: 0.0ms (0% of total)

series78.0ms (0.4%)

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
12.0ms
cosTheta_i
@0
(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
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)))
4.0ms
sinTheta_i
@inf
(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))
3.0ms
v
@inf
(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (* (sinh (/ 1 v)) (* v 2)))

rewrite569.0ms (3.1%)

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
3612255
0810255
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 (*.f32 sinTheta_i sinTheta_O) v))) (*.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 (*.f32 sinTheta_i sinTheta_O) v))))
(exp.f32 (*.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (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 (*.f32 sinTheta_i sinTheta_O) v) (log.f32 (/.f32 cosTheta_i (/.f32 v 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 (*.f32 sinTheta_i sinTheta_O) v) (log.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) #s(literal -1 binary32))))
(pow.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.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 (*.f32 sinTheta_i sinTheta_O) v)))) #s(literal -1 binary32))
(pow.f32 (/.f32 v (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.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 (*.f32 sinTheta_i sinTheta_O) v))) (/.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 (*.f32 sinTheta_i sinTheta_O) v))) (/.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 (*.f32 sinTheta_i sinTheta_O) v)) (/.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 (*.f32 sinTheta_i sinTheta_O) v))) (*.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 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))) (/.f32 v (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (+.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (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 (*.f32 sinTheta_i sinTheta_O) v))) (*.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 (*.f32 sinTheta_i sinTheta_O) v)) (*.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 (*.f32 sinTheta_i sinTheta_O) v))) (*.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 (*.f32 sinTheta_i sinTheta_O) v)) (*.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 (*.f32 sinTheta_i sinTheta_O) v))) (*.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 (*.f32 sinTheta_i sinTheta_O) 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 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (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 (*.f32 sinTheta_i sinTheta_O) v)) (neg.f32 v))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.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 (*.f32 sinTheta_i sinTheta_O) v)) (*.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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (*.f32 (neg.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.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 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (neg.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.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 (*.f32 sinTheta_i sinTheta_O) v))) (*.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 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.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 (*.f32 sinTheta_i sinTheta_O) v))) (/.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 (*.f32 sinTheta_i sinTheta_O) v)) (/.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 (*.f32 sinTheta_i sinTheta_O) v))) (*.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 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))) (/.f32 v (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))))
(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.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 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 v (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.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 (*.f32 sinTheta_i sinTheta_O) v)) (/.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 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) v)) (*.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 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (/.f32 v (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) 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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.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 (*.f32 sinTheta_i sinTheta_O) 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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (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 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))) v))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))
(/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) 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 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (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 (*.f32 sinTheta_i sinTheta_O) v))) (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 (*.f32 sinTheta_i sinTheta_O) v))) (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 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 v #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 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal 2 binary32)))
(/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) 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 cosTheta_i cosTheta_O) (*.f32 (*.f32 v #s(literal 2 binary32)) v)) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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(/.f32 (*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v))
(/.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 (*.f32 sinTheta_i sinTheta_O) v)) (neg.f32 v)))
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(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) v) (*.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
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(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal 2 binary32)))
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(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O)))
(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 v (*.f32 sinTheta_i sinTheta_O))))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) (neg.f32 v))
(/.f32 (*.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 v sinTheta_O))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 sinTheta_O (neg.f32 sinTheta_i))) (neg.f32 v))
(/.f32 (*.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) #s(literal 1 binary32)) (neg.f32 v))
(/.f32 (*.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) #s(literal -1 binary32)) v)
(/.f32 (*.f32 sinTheta_i #s(literal 1 binary32)) (/.f32 v sinTheta_O))
(/.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) #s(literal -1 binary32)) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_i (log.f32 (exp.f32 (/.f32 sinTheta_O v))))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 sinTheta_O (*.f32 (neg.f32 sinTheta_i) (/.f32 #s(literal -1 binary32) v)))
(*.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 sinTheta_i sinTheta_O) (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_i sinTheta_O))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_i (log.f32 (exp.f32 sinTheta_O))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O))))
(*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_O (neg.f32 sinTheta_i)))
(*.f32 (/.f32 #s(literal -1 binary32) v) (log.f32 (exp.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)))))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(*.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 (/.f32 sinTheta_O v) (log.f32 (exp.f32 sinTheta_i)))
(*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_i #s(literal 1 binary32)))
(*.f32 (neg.f32 sinTheta_O) (*.f32 sinTheta_i (/.f32 #s(literal -1 binary32) v)))
(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (neg.f32 v)))
(*.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 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) 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 (*.f32 sinTheta_i sinTheta_O) v)))
(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))

simplify375.0ms (2%)

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))))
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(/.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 (/.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 (/.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) #s(literal 1/2 binary32)) v)
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(/.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)
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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 (/.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)))))
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(+ (* 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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(/.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 (/.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 (/.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 (/.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 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)
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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))
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(* -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))
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(* -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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(/.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 cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
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(/ (* 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)
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (* 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)
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(/ (* cosTheta_O cosTheta_i) v)
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(/ (* 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)
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(/ (* 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))))))

eval145.0ms (0.8%)

Compiler

Compiled 21374 to 2067 computations (90.3% saved)

prune239.0ms (1.3%)

Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New86023883
Fresh000
Picked101
Done000
Total86123884
Accuracy
99.8%
Counts
884 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.9%
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) v)
98.7%
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
▶63.3%
(/.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))))
98.5%
(/.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_O cosTheta_i) v) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
95.7%
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
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))))
98.5%
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
93.7%
(/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 v #s(literal 2 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
56.0%
(/.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))
57.7%
(/.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)
55.9%
(/.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 (*.f32 sinTheta_i sinTheta_O) v)))) v)
▶57.7%
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
91.0%
(/.f32 (exp.f32 (-.f32 (*.f32 (log.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
98.6%
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
95.1%
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) v))
▶98.9%
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) (/.f32 cosTheta_O v))
98.8%
(*.f32 (/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
▶98.8%
(*.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.9%
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_i v))
98.6%
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
98.8%
(*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (/.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))))))
Compiler

Compiled 1296 to 866 computations (33.2% saved)

simplify247.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
✓cost-diff0
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓cost-diff0
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O)))
✓cost-diff0
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) v)
✓cost-diff0
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓cost-diff0
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓cost-diff0
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓cost-diff0
(*.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓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 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 #s(literal 1/2 binary32) v)
✓cost-diff0
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓cost-diff0
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))
✓cost-diff0
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) (/.f32 cosTheta_O v))
Rules
6606×*-lowering-*.f32
6606×*-lowering-*.f64
2484×/-lowering-/.f32
2484×/-lowering-/.f64
2450×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037339
190339
2275335
3912335
43318335
54853335
08220335
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i)) (/ cosTheta_O v))
(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))
(/ (/ 1/2 v) (sinh (/ 1 v)))
(/ 1/2 v)
1/2
v
(sinh (/ 1 v))
(/ 1 v)
1
(/ (exp (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i)
(exp (/ (* sinTheta_i sinTheta_O) v))
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
cosTheta_i
(/ cosTheta_O v)
cosTheta_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
(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (+ 2 (/ 1/3 (* v v))))
(/ (/ (* 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
(+ 2 (/ 1/3 (* v v)))
2
(/ 1/3 (* v v))
1/3
(* v v)
(* (/ cosTheta_O (exp (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) (/ (/ 1/2 v) (sinh (/ 1 v)))))
(/ cosTheta_O (exp (/ (* sinTheta_i sinTheta_O) v)))
cosTheta_O
(exp (/ (* sinTheta_i sinTheta_O) v))
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(* (/ cosTheta_i v) (/ (/ 1/2 v) (sinh (/ 1 v))))
(/ cosTheta_i v)
cosTheta_i
(/ (/ 1/2 v) (sinh (/ 1 v)))
(/ 1/2 v)
1/2
(sinh (/ 1 v))
(/ 1 v)
1
(/ (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) (* cosTheta_i cosTheta_O))) v)
(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) (* cosTheta_i cosTheta_O)))
(/ (/ 1/2 v) (sinh (/ 1 v)))
(/ 1/2 v)
1/2
v
(sinh (/ 1 v))
(/ 1 v)
1
(/ (exp (/ (* sinTheta_i sinTheta_O) v)) (* cosTheta_i cosTheta_O))
(exp (/ (* sinTheta_i sinTheta_O) v))
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
Outputs
(* (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i)) (/ cosTheta_O v))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_i))
(/ (/ 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)
v
(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 sinTheta_O) v)) cosTheta_i)
(/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) cosTheta_i)
(exp (/ (* sinTheta_i sinTheta_O) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/ (* sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
cosTheta_i
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
cosTheta_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
(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (+ 2 (/ 1/3 (* v v))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v)))
(/.f32 cosTheta_O (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 v cosTheta_i)))
(/ (* 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_O (/.f32 sinTheta_i v)))
(/ (* sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(+ 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)
(* (/ cosTheta_O (exp (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) (/ (/ 1/2 v) (sinh (/ 1 v)))))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/ cosTheta_O (exp (/ (* sinTheta_i sinTheta_O) v)))
(/.f32 cosTheta_O (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))
cosTheta_O
(exp (/ (* sinTheta_i sinTheta_O) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/ (* sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(* (/ cosTheta_i v) (/ (/ 1/2 v) (sinh (/ 1 v))))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i))
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
(/ (/ 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)
(/ (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) (* cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) (* cosTheta_i cosTheta_O)))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (*.f32 cosTheta_i cosTheta_O)))
(/ (/ 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)
v
(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 sinTheta_O) v)) (* cosTheta_i cosTheta_O))
(/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))) (*.f32 cosTheta_i cosTheta_O))
(exp (/ (* sinTheta_i sinTheta_O) v))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))
(/ (* sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O

localize433.0ms (2.4%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy98.9%
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓accuracy97.7%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy96.1%
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O)))
✓accuracy99.2%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy98.9%
(*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓accuracy98.9%
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓accuracy97.7%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy99.4%
(/.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))))
✓accuracy99.2%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy99.2%
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓accuracy98.6%
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
✓accuracy100.0%
(*.f32 cosTheta_O cosTheta_i)
✓accuracy99.9%
(*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
✓accuracy99.2%
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
✓accuracy99.2%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy98.9%
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓accuracy98.8%
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))
✓accuracy97.7%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Results
298.0ms256×0valid
Compiler

Compiled 364 to 38 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-div: 41.0ms (64.1% of total)
ival-mult: 11.0ms (17.2% of total)
...c/correct-round.rkt:119:19: 4.0ms (6.3% of total)
ival-sinh: 3.0ms (4.7% of total)
ival-exp: 2.0ms (3.1% of total)
ival-add: 1.0ms (1.6% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series156.0ms (0.8%)

Counts
20 → 744
Calls
Call 1
Inputs
#<alt (* (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i)) (/ cosTheta_O v))>
#<alt (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))>
#<alt (/ (/ 1/2 v) (sinh (/ 1 v)))>
#<alt (/ 1/2 v)>
#<alt (/ (* (* cosTheta_O cosTheta_i) 1/2) v)>
#<alt (* (* cosTheta_O cosTheta_i) 1/2)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (+ 2 (/ 1/3 (* v v))))>
#<alt (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v)))>
#<alt (/ (* cosTheta_i cosTheta_O) v)>
#<alt (* cosTheta_i cosTheta_O)>
#<alt (* (/ cosTheta_O (exp (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) (/ (/ 1/2 v) (sinh (/ 1 v)))))>
#<alt (/ cosTheta_O (exp (/ (* sinTheta_i sinTheta_O) v)))>
#<alt (exp (/ (* sinTheta_i sinTheta_O) v))>
#<alt (/ (* sinTheta_i sinTheta_O) v)>
#<alt (/ (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) (* cosTheta_i cosTheta_O))) v)>
#<alt (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) (* cosTheta_i cosTheta_O)))>
#<alt (sinh (/ 1 v))>
#<alt (/ 1/3 (* v v))>
#<alt (* (/ cosTheta_i v) (/ (/ 1/2 v) (sinh (/ 1 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 (* 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 (/ (* 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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 cosTheta_i)>
#<alt (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))>
#<alt (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_i)))>
#<alt (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* 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_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* 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_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_i))))>
#<alt (* 1/2 cosTheta_i)>
#<alt (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))>
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (+ (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v)) (* 1/2 (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<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 (/ (* 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)))>
#<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>
#<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 (/ 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 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 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 (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 (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) (* (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)))))))>
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#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)>
#<alt (* 1/2 (/ cosTheta_i v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))>
#<alt (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))>
Calls

186 calls:

TimeVariablePointExpression
56.0ms
v
@0
(/ 1/3 (* v v))
3.0ms
cosTheta_i
@0
(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))
3.0ms
sinTheta_i
@-inf
(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (+ 2 (/ 1/3 (* v v))))
2.0ms
sinTheta_i
@0
(exp (/ (* sinTheta_i sinTheta_O) v))
2.0ms
cosTheta_i
@0
(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (+ 2 (/ 1/3 (* v v))))

rewrite355.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
3844×/-lowering-/.f32
3844×/-lowering-/.f64
3260×*-lowering-*.f32
3260×*-lowering-*.f64
1420×frac-2neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037195
1197191
21712191
37168191
08017191
Stop Event
1×iter limit
1×node limit
Counts
20 → 1303
Calls
Call 1
Inputs
(* (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i)) (/ cosTheta_O v))
(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))
(/ (/ 1/2 v) (sinh (/ 1 v)))
(/ 1/2 v)
(/ (* (* cosTheta_O cosTheta_i) 1/2) v)
(* (* cosTheta_O cosTheta_i) 1/2)
(* cosTheta_O cosTheta_i)
(/ (/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v))) (+ 2 (/ 1/3 (* v v))))
(/ (/ (* cosTheta_i cosTheta_O) v) (exp (/ (* sinTheta_i sinTheta_O) v)))
(/ (* cosTheta_i cosTheta_O) v)
(* cosTheta_i cosTheta_O)
(* (/ cosTheta_O (exp (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_i v) (/ (/ 1/2 v) (sinh (/ 1 v)))))
(/ cosTheta_O (exp (/ (* sinTheta_i sinTheta_O) v)))
(exp (/ (* sinTheta_i sinTheta_O) v))
(/ (* sinTheta_i sinTheta_O) v)
(/ (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) (* cosTheta_i cosTheta_O))) v)
(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) (* cosTheta_i cosTheta_O)))
(sinh (/ 1 v))
(/ 1/3 (* v v))
(* (/ cosTheta_i v) (/ (/ 1/2 v) (sinh (/ 1 v))))
Outputs
(neg.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) v))
(neg.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v))))))
(neg.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))))
(neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) v) (*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i v))))))
(neg.f32 (*.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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.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 cosTheta_O (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i v)))))
(neg.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) (/.f32 cosTheta_O v)))
(neg.f32 (*.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
(neg.f32 (*.f32 (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (*.f32 (/.f32 (neg.f32 cosTheta_O) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i v)))))
(neg.f32 (*.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O))))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) v)))
(neg.f32 (*.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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.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 (*.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(neg.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) (/.f32 cosTheta_O (neg.f32 v))))
(neg.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
(neg.f32 (*.f32 (/.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i v))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i v))) (/.f32 (neg.f32 cosTheta_O) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(neg.f32 (*.f32 (/.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))) (*.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v)))))
(neg.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O)) (/.f32 cosTheta_i (neg.f32 v))))
(neg.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i))
(neg.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_O v))))
(neg.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))))
(neg.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))))
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(neg.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) (/.f32 v cosTheta_O)))
(neg.f32 (/.f32 (/.f32 cosTheta_O (neg.f32 v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32))) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(neg.f32 (/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (-.f32 #s(literal 0 binary32) (/.f32 v cosTheta_i)))))
(neg.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (neg.f32 cosTheta_i))))
(neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(neg.f32 (/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i v))))
(neg.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)))
(neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(neg.f32 (/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i v))) (/.f32 v #s(literal -1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)))))
(neg.f32 (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) v) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))))
(exp.f32 (*.f32 (log.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) v))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 v)) (/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) v))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v))))) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O (neg.f32 v))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_O v)))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (neg.f32 (*.f32 (neg.f32 v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_O v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O)))) (/.f32 #s(literal -1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 v) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) (neg.f32 cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))) cosTheta_O))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (*.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) v))))
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(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i cosTheta_O))))
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(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O)))))
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(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O)))
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(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal -1 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) (/.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
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(/.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
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(/.f32 (*.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) v)) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (neg.f32 cosTheta_i)))
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(/.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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(/.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i cosTheta_O)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
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(/.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O))) (neg.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O)))) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
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(*.f32 cosTheta_i (*.f32 cosTheta_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)))))
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(*.f32 cosTheta_O (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)))
(*.f32 (*.f32 cosTheta_i cosTheta_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))))
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(*.f32 (/.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(*.f32 (/.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)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
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(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)))
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(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
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(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(neg.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(+.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (neg.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
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(pow.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(-.f32 #s(literal 0 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
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(-.f32 (*.f32 (sinh.f32 #s(literal 0 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 (cosh.f32 #s(literal 0 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1 binary32)))
(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -2 binary32))
(/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 4 binary32))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))
(*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))
(*.f32 #s(literal -1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32))
(neg.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(exp.f32 (*.f32 (log.f32 (/.f32 v (/.f32 #s(literal 1/3 binary32) v))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (/.f32 #s(literal 1/3 binary32) v)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 v v) #s(literal -1/3 binary32)))
(/.f32 #s(literal -1/3 binary32) (-.f32 #s(literal 0 binary32) (*.f32 v v)))
(/.f32 (/.f32 #s(literal 1/3 binary32) v) v)
(/.f32 (/.f32 #s(literal -1/3 binary32) v) (neg.f32 v))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v))
(*.f32 #s(literal 1/3 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) v))
(*.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(*.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1 binary32) (*.f32 v v)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) v) #s(literal 1/3 binary32))
(*.f32 (/.f32 #s(literal 1/3 binary32) v) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal -1/3 binary32) v) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) #s(literal -1/3 binary32))
(neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i))))
(neg.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 cosTheta_i v)))
(neg.f32 (*.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (neg.f32 v))))
(neg.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal -1 binary32) v)))
(neg.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i v))))
(neg.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 v cosTheta_i)))
(neg.f32 (/.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(neg.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(neg.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))
(neg.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal -1/2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (/.f32 v cosTheta_i))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) v))
(pow.f32 (/.f32 (/.f32 v cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) #s(literal -1 binary32))
(/.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i v)))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (neg.f32 (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_i v))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i v)) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 v cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (neg.f32 cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_i v)) (/.f32 #s(literal -1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i))))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i))
(/.f32 cosTheta_i (/.f32 v (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.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) (neg.f32 (/.f32 (/.f32 v cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (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 (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (*.f32 (neg.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))) (-.f32 #s(literal 0 binary32) (/.f32 v cosTheta_i)))
(/.f32 (neg.f32 cosTheta_i) (/.f32 v (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 #s(literal -1/2 binary32) (neg.f32 (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v))))
(/.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (*.f32 v (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)
(/.f32 (*.f32 (neg.f32 cosTheta_i) #s(literal -1/2 binary32)) (neg.f32 (*.f32 (neg.f32 v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal -1/2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal -1/2 binary32))) (neg.f32 (*.f32 (neg.f32 v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (/.f32 v cosTheta_i))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (neg.f32 v))
(/.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) (*.f32 (neg.f32 v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 cosTheta_i (neg.f32 v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)))
(/.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i))) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i v))))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i v))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (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 v))
(*.f32 cosTheta_i (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(*.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 #s(literal 2 binary32) (/.f32 (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))))
(*.f32 (/.f32 cosTheta_i 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) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i v))) #s(literal 1 binary32))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (neg.f32 cosTheta_i) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_i v))))
(*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal -1/2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (/.f32 v cosTheta_i))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v #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 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))))
(*.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v) cosTheta_i)
(*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v (/.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 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i)

simplify427.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
7370×*-lowering-*.f32
7370×*-lowering-*.f64
3986×+-lowering-+.f64
3986×+-lowering-+.f32
1566×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
090814407
1344813519
0858713519
Stop Event
1×iter limit
1×node limit
Counts
744 → 744
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)))))))
(* 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))
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(* 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))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 1/2 (* cosTheta_O cosTheta_i))
(* 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 cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* 3 (/ (* cosTheta_O (* cosTheta_i v)) (exp (/ (* sinTheta_O sinTheta_i) v))))
(* v (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 3 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v))))))
(* v (+ (* 3 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (* 108 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 18 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v))))))))
(* v (+ (* 3 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (* (pow v 2) (- (* -648 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* -108 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))))) (* 18 (/ (* cosTheta_O cosTheta_i) (exp (/ (* 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))) v)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (+ (* -1/4 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (* 1/4 (* cosTheta_O (* cosTheta_i (+ (* 1/3 (* sinTheta_O sinTheta_i)) (* 1/3 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))) 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 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* 1/4 (* cosTheta_O (* cosTheta_i (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* -1/3 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) v)) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* 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 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 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 sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(+ (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 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))))))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (+ 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 sinTheta_O)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) 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_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 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 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 (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 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))))))))) v)) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 3))) (* (pow v 4) (+ 2 (* 1/3 (/ 1 (pow v 2))))))))))) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (+ 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 sinTheta_i)) (* (pow v 2) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))) (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* 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)
(/ (* 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 (/ 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)))))))
(* 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 (/ (* 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)))
(/ 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
(+ 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)))
(/ 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)))
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))
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))
(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
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(+ 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
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
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(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
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(/ (* 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)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 (* cosTheta_O cosTheta_i))
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(* 1/2 (* cosTheta_O cosTheta_i))
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(/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* 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))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* 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))))))))))) (* -1/2 (+ (* -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)))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (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)))))
(* 1/2 (- (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))
(/ 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))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ cosTheta_i v))
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)
(* 1/2 (/ cosTheta_i v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))
Outputs
(/ (* 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 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 (*.f32 #s(literal -1/2 binary32) 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)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.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 #s(literal -1/2 binary32) cosTheta_O) (*.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)
(* 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 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (*.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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (+.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 (/ (+ (* -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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (+.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 cosTheta_O (*.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)) #s(literal -1/6 binary32))))) (+.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 cosTheta_O (*.f32 cosTheta_i (+.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 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 (*.f32 cosTheta_O 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 (*.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 (*.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 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)))))))
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(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i)
(*.f32 cosTheta_i #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_i)))
(+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 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_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v))))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* 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_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* 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_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_i))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (+.f32 (+.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 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_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 (*.f32 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_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_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))))) (*.f32 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)))))
(* 1/2 cosTheta_i)
(*.f32 cosTheta_i #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(-.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i (+.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) (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 sinTheta_O sinTheta_i))) v))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (+ (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v)) (* 1/2 (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(-.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 sinTheta_O sinTheta_i)) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (+.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)) #s(literal -1/6 binary32)))) (+.f32 (*.f32 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_i (+.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) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (+.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))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (/.f32 cosTheta_i 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_i (*.f32 sinTheta_O 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 (*.f32 cosTheta_i sinTheta_O) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (/.f32 cosTheta_i 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 #s(literal 1/3 binary32) (/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (*.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 sinTheta_O (neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.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_i (*.f32 sinTheta_O (*.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)))))) (neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O 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 (*.f32 cosTheta_i sinTheta_O) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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 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) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(* 3 (/ (* cosTheta_O (* cosTheta_i v)) (exp (/ (* sinTheta_O sinTheta_i) v))))
(/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) v)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(* v (+ (* -18 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 3 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v))))))
(*.f32 v (+.f32 (/.f32 (*.f32 #s(literal -18 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 v v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 cosTheta_O cosTheta_i)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* v (+ (* 3 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (* 108 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* 18 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v))))))))
(*.f32 v (+.f32 (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 cosTheta_O cosTheta_i)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (*.f32 (*.f32 v v) (+.f32 (/.f32 (*.f32 #s(literal 108 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 v v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (*.f32 #s(literal -18 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))))
(* v (+ (* 3 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* (pow v 2) (- (* (pow v 2) (- (* -648 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (exp (/ (* sinTheta_O sinTheta_i) v)))) (* -108 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v)))))) (* 18 (/ (* cosTheta_O cosTheta_i) (exp (/ (* sinTheta_O sinTheta_i) v))))))))
(*.f32 v (+.f32 (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 cosTheta_O cosTheta_i)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (*.f32 (*.f32 v v) (+.f32 (*.f32 (*.f32 v v) (-.f32 (/.f32 (*.f32 #s(literal -648 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 v v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 #s(literal -108 binary32) (*.f32 cosTheta_O cosTheta_i)) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (*.f32 #s(literal -18 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) v)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v)
(/.f32 (+.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.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 1/4 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32))))) (*.f32 v v))) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v)) v)
(/ (- (+ (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))))) (+ (* -1/4 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (* 1/4 (* cosTheta_O (* cosTheta_i (+ (* 1/3 (* sinTheta_O sinTheta_i)) (* 1/3 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))))) (pow v 3))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))) v)
(/.f32 (-.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32))))) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 1/3 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 #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 1/4 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32))))))) (*.f32 v (*.f32 v v)))) (+.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 v v)) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32)))) (*.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))
(/.f32 (+.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) 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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_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 1/4 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32))))) v)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* 1/4 (* cosTheta_O (* cosTheta_i (+ (* -1/3 (* sinTheta_O sinTheta_i)) (* -1/3 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))))) v)) (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/4 (* cosTheta_O (* cosTheta_i (+ 1/3 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) 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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.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 #s(literal 1/4 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32))))) (/.f32 (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32))))) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (+.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 1/4 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) #s(literal 1/3 binary32)))))) (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/3 binary32) (+.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))))))) v)) v)) v)) (neg.f32 v))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
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(/.f32 (-.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) #s(literal -1/3 binary32)) (*.f32 (*.f32 sinTheta_O 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 (*.f32 v v)))) (-.f32 (+.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 v v))) (/.f32 (*.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)
(/.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 cosTheta_O (*.f32 cosTheta_i (/.f32 (*.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 #s(literal 0 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 #s(literal 0 binary32) (*.f32 sinTheta_O sinTheta_i))) (/.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)) v)) (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))
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(/ (* cosTheta_O cosTheta_i) (* v (exp (/ (* sinTheta_O sinTheta_i) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_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))))
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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)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.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)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/.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)
(/ (* 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 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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)))))))
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(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) 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)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.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 #s(literal -1/2 binary32) cosTheta_O) (*.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)
(* 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 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (*.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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (+.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 (/ (+ (* -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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (+.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 cosTheta_O (*.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)) #s(literal -1/6 binary32))))) (+.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 cosTheta_O (*.f32 cosTheta_i (+.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 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 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.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 (*.f32 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))))
(+.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 (neg.f32 (+.f32 (*.f32 sinTheta_i (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v 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))) (*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v)) #s(literal -1/2 binary32))))) (/.f32 (*.f32 cosTheta_O sinTheta_O) v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.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 (*.f32 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))))
(+.f32 cosTheta_O (*.f32 sinTheta_O (-.f32 (*.f32 sinTheta_O (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)))) (/.f32 (*.f32 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))))
(+.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 v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/2 binary32))) v))) (*.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/2 binary32))))) (/.f32 (*.f32 cosTheta_O sinTheta_i) v))))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_O (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_O (exp.f32 (/.f32 (*.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 (*.f32 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))
(+.f32 cosTheta_O (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)) (*.f32 cosTheta_O (/.f32 (*.f32 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))))
(-.f32 (-.f32 cosTheta_O (/.f32 (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 (*.f32 cosTheta_O (*.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 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v 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 (*.f32 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)))
(-.f32 cosTheta_O (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) v) #s(literal -1/2 binary32)) (*.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 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) v) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.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 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) (neg.f32 v)) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i))) v))
1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (/.f32 (*.f32 sinTheta_O 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) v) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) 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) v) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.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 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (/.f32 (*.f32 sinTheta_O 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 (/.f32 #s(literal 1/6 binary32) v) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.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 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (/.f32 (*.f32 sinTheta_O 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 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v 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 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.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 (*.f32 sinTheta_O 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))
(/ (* 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)
(/ (* 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 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 (*.f32 #s(literal -1/2 binary32) 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)
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.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 #s(literal -1/2 binary32) cosTheta_O) (*.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)
(* 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 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (*.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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (+.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))
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(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (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) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (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) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (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) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (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) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (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) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (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 (- (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 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) 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 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.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 (/.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))
(* -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 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (*.f32 v v))) (neg.f32 (pow.f32 v #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) (neg.f32 v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 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_i v))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/.f32 (+.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)
(/.f32 (+.f32 (+.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal -7/360 binary32))) (pow.f32 v #s(literal 4 binary32)))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)
(/.f32 (+.f32 (+.f32 (+.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 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 cosTheta_i #s(literal -7/360 binary32))) (*.f32 cosTheta_i #s(literal -1/840 binary32)))) (pow.f32 v #s(literal 6 binary32)))) v)
(* 1/2 (/ cosTheta_i v))
(/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(/.f32 (+.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) cosTheta_i) (*.f32 v v))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))
(/.f32 (+.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) (+.f32 (/.f32 (*.f32 #s(literal 1/12 binary32) cosTheta_i) (*.f32 v v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 7/360 binary32))) (pow.f32 v #s(literal 4 binary32))))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))
(/.f32 (+.f32 (+.f32 (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_i #s(literal 7/360 binary32))) (*.f32 cosTheta_i #s(literal 1/840 binary32)))) (pow.f32 v #s(literal 6 binary32)))) (+.f32 (/.f32 (*.f32 #s(literal 1/12 binary32) cosTheta_i) (*.f32 v v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 7/360 binary32))) (pow.f32 v #s(literal 4 binary32))))) (neg.f32 v))

eval272.0ms (1.5%)

Compiler

Compiled 62717 to 3817 computations (93.9% saved)

prune348.0ms (1.9%)

Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New2625332658
Fresh15318
Picked415
Done000
Total2644372681
Accuracy
99.9%
Counts
2681 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.9%
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) (*.f32 cosTheta_i cosTheta_O))) v)
95.0%
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)))) v)
▶98.9%
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))
94.9%
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) v)
63.3%
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
98.5%
(/.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))))
98.9%
(/.f32 (/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 v cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
98.5%
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O))
98.6%
(/.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))))
▶63.3%
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
98.5%
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
94.8%
(/.f32 (/.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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) v)
98.9%
(/.f32 (/.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
92.8%
(/.f32 (*.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1/2 binary32) v)) #s(literal -1 binary32)) (pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal -1 binary32))) v)
98.4%
(/.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) cosTheta_O) v)
57.9%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
✓57.7%
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
57.7%
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
98.3%
(/.f32 (*.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) v)) (*.f32 (neg.f32 v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
91.0%
(/.f32 (exp.f32 (-.f32 (*.f32 (log.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
98.7%
(/.f32 cosTheta_O (/.f32 v (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
57.7%
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))))
57.8%
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
98.9%
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O v))
▶99.0%
(*.f32 (/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
▶98.7%
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O v))
98.6%
(*.f32 (/.f32 (/.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i v))) (/.f32 v #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
57.7%
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
57.7%
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
57.7%
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
98.9%
(*.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.8%
(*.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.3%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.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))))) (/.f32 cosTheta_O v))
57.9%
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
▶57.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
97.1%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O)) #s(literal -1 binary32))) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.8%
(*.f32 cosTheta_O (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Compiler

Compiled 1650 to 1169 computations (29.2% saved)

simplify270.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
✓cost-diff0
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓cost-diff0
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O))
✓cost-diff0
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))
✓cost-diff0
(/.f32 cosTheta_i v)
✓cost-diff3264
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓cost-diff3264
(/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
✓cost-diff3264
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O v))
✓cost-diff0
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
✓cost-diff0
(*.f32 cosTheta_O cosTheta_i)
✓cost-diff0
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓cost-diff0
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
✓cost-diff0
(*.f32 cosTheta_i cosTheta_O)
✓cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
✓cost-diff0
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
✓cost-diff0
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓cost-diff0
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓cost-diff0
(/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓cost-diff0
(*.f32 (/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
Rules
5692×*-lowering-*.f32
5692×*-lowering-*.f64
2690×/-lowering-/.f32
2690×/-lowering-/.f64
2042×neg-lowering-neg.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041274
195274
2266261
3860261
43382261
54987261
09021261
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (/ cosTheta_i (exp (/ (* sinTheta_i sinTheta_O) v))) (/ (sinh (/ 1 v)) (/ 1/2 v))) (/ cosTheta_O v))
(/ (/ cosTheta_i (exp (/ (* sinTheta_i sinTheta_O) v))) (/ (sinh (/ 1 v)) (/ 1/2 v)))
(/ cosTheta_i (exp (/ (* sinTheta_i sinTheta_O) v)))
cosTheta_i
(exp (/ (* sinTheta_i sinTheta_O) v))
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(/ (sinh (/ 1 v)) (/ 1/2 v))
(sinh (/ 1 v))
(/ 1 v)
1
(/ 1/2 v)
1/2
(/ cosTheta_O v)
cosTheta_O
(* (/ 1/2 v) (* cosTheta_i cosTheta_O))
(/ 1/2 v)
1/2
v
(* cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(/ (/ (* cosTheta_O cosTheta_i) v) (+ 2 (/ 1/3 (* v v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(+ 2 (/ 1/3 (* v v)))
2
(/ 1/3 (* v v))
1/3
(* v v)
(* (/ (/ cosTheta_i v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ cosTheta_O v))
(/ (/ cosTheta_i v) (- (exp (/ 1 v)) (exp (/ -1 v))))
(/ cosTheta_i v)
cosTheta_i
v
(- (exp (/ 1 v)) (exp (/ -1 v)))
(exp (/ 1 v))
(/ 1 v)
1
(exp (/ -1 v))
(/ -1 v)
-1
(/ cosTheta_O v)
cosTheta_O
(/ (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ v cosTheta_O)) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))
(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ v cosTheta_O))
(/ (/ 1/2 v) (sinh (/ 1 v)))
(/ 1/2 v)
1/2
v
(sinh (/ 1 v))
(/ 1 v)
1
(/ v cosTheta_O)
cosTheta_O
(/ (exp (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i)
(exp (/ (* sinTheta_i sinTheta_O) v))
(/ (* sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
cosTheta_i
Outputs
(* (/ (/ cosTheta_i (exp (/ (* sinTheta_i sinTheta_O) v))) (/ (sinh (/ 1 v)) (/ 1/2 v))) (/ cosTheta_O v))
(/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/ (/ cosTheta_i (exp (/ (* sinTheta_i sinTheta_O) v))) (/ (sinh (/ 1 v)) (/ 1/2 v)))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/ cosTheta_i (exp (/ (* sinTheta_i sinTheta_O) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
cosTheta_i
(exp (/ (* sinTheta_i sinTheta_O) v))
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/ (* sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(/ (sinh (/ 1 v)) (/ 1/2 v))
(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) 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
#s(literal 1 binary32)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
cosTheta_O
(* (/ 1/2 v) (* cosTheta_i cosTheta_O))
(*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
v
(* cosTheta_i cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(/ (/ (* cosTheta_O cosTheta_i) v) (+ 2 (/ 1/3 (* v v))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
v
(+ 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)
(* (/ (/ cosTheta_i v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ cosTheta_O v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 v #s(literal 1/2 binary32)) v)))
(/ (/ cosTheta_i v) (- (exp (/ 1 v)) (exp (/ -1 v))))
(/.f32 (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
v
(- (exp (/ 1 v)) (exp (/ -1 v)))
(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
1
#s(literal 1 binary32)
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/ -1 v)
(/.f32 #s(literal -1 binary32) v)
-1
#s(literal -1 binary32)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
cosTheta_O
(/ (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ v cosTheta_O)) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1/2 binary32) v) cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ v cosTheta_O))
(/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) 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)
v
(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 cosTheta_O)
(/.f32 v cosTheta_O)
cosTheta_O
(/ (exp (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)
(exp (/ (* sinTheta_i sinTheta_O) v))
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/ (* sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(* sinTheta_i sinTheta_O)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
cosTheta_i

localize384.0ms (2.1%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy98.9%
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓accuracy98.8%
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O))
✓accuracy97.7%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy99.2%
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
✓accuracy99.1%
(/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
✓accuracy97.9%
(exp.f32 (/.f32 #s(literal -1 binary32) v))
✓accuracy97.8%
(exp.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy99.6%
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
✓accuracy99.5%
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
✓accuracy99.2%
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
✓accuracy98.6%
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
✓accuracy100.0%
(/.f32 #s(literal 1/2 binary32) v)
✓accuracy100.0%
(*.f32 cosTheta_i cosTheta_O)
✓accuracy99.3%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
✓accuracy99.4%
(/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓accuracy99.2%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy98.9%
(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
✓accuracy97.7%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Results
305.0ms256×0valid
Compiler

Compiled 299 to 42 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-div: 53.0ms (62% of total)
ival-mult: 13.0ms (15.2% of total)
ival-exp: 8.0ms (9.4% of total)
...c/correct-round.rkt:119:19: 4.0ms (4.7% of total)
ival-sinh: 3.0ms (3.5% of total)
ival-add: 1.0ms (1.2% of total)
ival-sub: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series45.0ms (0.2%)

Counts
24 → 660
Calls
Call 1
Inputs
#<alt (* (/ (/ cosTheta_i (exp (/ (* sinTheta_i sinTheta_O) v))) (/ (sinh (/ 1 v)) (/ 1/2 v))) (/ cosTheta_O v))>
#<alt (/ (/ cosTheta_i (exp (/ (* sinTheta_i sinTheta_O) v))) (/ (sinh (/ 1 v)) (/ 1/2 v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_i sinTheta_O) v)))>
#<alt (exp (/ (* sinTheta_i sinTheta_O) v))>
#<alt (* (/ 1/2 v) (* cosTheta_i cosTheta_O))>
#<alt (/ 1/2 v)>
#<alt (* cosTheta_i cosTheta_O)>
#<alt (/ (/ (* cosTheta_O cosTheta_i) v) (+ 2 (/ 1/3 (* v v))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (+ 2 (/ 1/3 (* v v)))>
#<alt (* (/ (/ cosTheta_i v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ cosTheta_O v))>
#<alt (/ (/ cosTheta_i v) (- (exp (/ 1 v)) (exp (/ -1 v))))>
#<alt (- (exp (/ 1 v)) (exp (/ -1 v)))>
#<alt (/ cosTheta_i v)>
#<alt (/ (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ v cosTheta_O)) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))>
#<alt (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ v cosTheta_O))>
#<alt (/ (/ 1/2 v) (sinh (/ 1 v)))>
#<alt (sinh (/ 1 v))>
#<alt (/ (sinh (/ 1 v)) (/ 1/2 v))>
#<alt (/ (* sinTheta_i sinTheta_O) v)>
#<alt (/ 1/3 (* v v))>
#<alt (exp (/ 1 v))>
#<alt (exp (/ -1 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 (/ 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 (/ (* 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 (/ (* 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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (* 1/2 cosTheta_i)>
#<alt (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))>
#<alt (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_i)))>
#<alt (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* 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_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* 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_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_i))))>
#<alt (* 1/2 cosTheta_i)>
#<alt (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))>
#<alt (+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (+ (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v)) (* 1/2 (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_O) v))))>
#<alt (+ cosTheta_i (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_i (pow sinTheta_O 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_i (pow sinTheta_O 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_O) v))))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_i) v))))>
#<alt (+ cosTheta_i (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_i (pow sinTheta_i 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_i (pow sinTheta_i 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_i) v))))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (- (+ cosTheta_i (* -1 (/ (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))>
#<alt (- (+ cosTheta_i (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3)))) (+ (* -1 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))>
#<alt cosTheta_i>
#<alt (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_i (* -1 (/ (- (+ (* -1 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)))>
#<alt (+ cosTheta_i (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (+ (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (/ (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)))>
#<alt 1>
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#<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))))>
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#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
#<alt 1>
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#<alt (+ 1 (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))) (/ sinTheta_i v))))>
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#<alt (exp (/ (* sinTheta_O sinTheta_i) v))>
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#<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))>
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#<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))>
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#<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 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
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#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (/ 1/2 v)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (* 3 (* cosTheta_O (* cosTheta_i v)))>
#<alt (* v (+ (* -18 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 3 (* cosTheta_O cosTheta_i))))>
#<alt (* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* (pow v 2) (- (* 108 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 18 (* cosTheta_O cosTheta_i))))))>
#<alt (* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* (pow v 2) (- (* (pow v 2) (- (* -648 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* -108 (* cosTheta_O cosTheta_i)))) (* 18 (* cosTheta_O cosTheta_i))))))>
#<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)>
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#<alt (/ (- (+ (* -1/432 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 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)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/72 (/ (* 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)) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/432 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
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#<alt (/ (* cosTheta_O cosTheta_i) v)>
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#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
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#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (/ 1/3 (pow v 2))>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (+ 2 (* 1/3 (/ 1 (pow v 2))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
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#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (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 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 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)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))>
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#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))>
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#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))>
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#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))>
#<alt (* 1/2 cosTheta_i)>
#<alt (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))>
#<alt (- (+ (* -1 (/ (+ (* -1/72 cosTheta_i) (* 1/240 cosTheta_i)) (pow v 4))) (* 1/2 cosTheta_i)) (* 1/12 (/ cosTheta_i (pow v 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 cosTheta_i) (* 1/240 cosTheta_i))) (+ (* -1/1440 cosTheta_i) (* 1/10080 cosTheta_i))) (pow v 6))) (* 1/2 cosTheta_i)) (+ (* -1/72 (/ cosTheta_i (pow v 4))) (+ (* 1/240 (/ cosTheta_i (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))))>
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#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ 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 (exp (/ 1 v))>
#<alt (exp (/ 1 v))>
#<alt (exp (/ 1 v))>
#<alt (exp (/ 1 v))>
#<alt 1>
#<alt (+ 1 (/ 1 v))>
#<alt (+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))>
#<alt (+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))>
#<alt 1>
#<alt (+ 1 (/ 1 v))>
#<alt (+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))>
#<alt (exp (/ -1 v))>
#<alt (exp (/ -1 v))>
#<alt (exp (/ -1 v))>
#<alt (exp (/ -1 v))>
#<alt 1>
#<alt (- 1 (/ 1 v))>
#<alt (- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))>
#<alt (- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))>
#<alt 1>
#<alt (- 1 (/ 1 v))>
#<alt (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))>
Calls

165 calls:

TimeVariablePointExpression
3.0ms
v
@0
(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ v cosTheta_O))
2.0ms
cosTheta_i
@-inf
(/ (/ (* cosTheta_O cosTheta_i) v) (+ 2 (/ 1/3 (* v v))))
1.0ms
cosTheta_i
@0
(* (/ (/ cosTheta_i v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ cosTheta_O v))
1.0ms
cosTheta_O
@0
(* (/ (/ cosTheta_i v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ cosTheta_O v))
1.0ms
cosTheta_O
@0
(/ (/ (* cosTheta_O cosTheta_i) v) (+ 2 (/ 1/3 (* v v))))

rewrite316.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
3618×/-lowering-/.f32
3618×/-lowering-/.f64
3096×*-lowering-*.f32
3096×*-lowering-*.f64
1378×frac-2neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041192
1201180
21711179
37037179
08244179
Stop Event
1×iter limit
1×node limit
Counts
24 → 1162
Calls
Call 1
Inputs
(* (/ (/ cosTheta_i (exp (/ (* sinTheta_i sinTheta_O) v))) (/ (sinh (/ 1 v)) (/ 1/2 v))) (/ cosTheta_O v))
(/ (/ cosTheta_i (exp (/ (* sinTheta_i sinTheta_O) v))) (/ (sinh (/ 1 v)) (/ 1/2 v)))
(/ cosTheta_i (exp (/ (* sinTheta_i sinTheta_O) v)))
(exp (/ (* sinTheta_i sinTheta_O) v))
(* (/ 1/2 v) (* cosTheta_i cosTheta_O))
(/ 1/2 v)
(* cosTheta_i cosTheta_O)
(/ (/ (* cosTheta_O cosTheta_i) v) (+ 2 (/ 1/3 (* v v))))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(+ 2 (/ 1/3 (* v v)))
(* (/ (/ cosTheta_i v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/ cosTheta_O v))
(/ (/ cosTheta_i v) (- (exp (/ 1 v)) (exp (/ -1 v))))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(/ cosTheta_i v)
(/ (/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ v cosTheta_O)) (/ (exp (/ (* sinTheta_i sinTheta_O) v)) cosTheta_i))
(/ (/ (/ 1/2 v) (sinh (/ 1 v))) (/ v cosTheta_O))
(/ (/ 1/2 v) (sinh (/ 1 v)))
(sinh (/ 1 v))
(/ (sinh (/ 1 v)) (/ 1/2 v))
(/ (* sinTheta_i sinTheta_O) v)
(/ 1/3 (* v v))
(exp (/ 1 v))
(exp (/ -1 v))
Outputs
(neg.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v))) (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(neg.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (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))))))
(neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (neg.f32 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)))))))
(neg.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 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v))))))
(neg.f32 (*.f32 (/.f32 (neg.f32 cosTheta_i) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))))
(neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (/.f32 #s(literal 1 binary32) (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))))))
(neg.f32 (*.f32 (/.f32 (/.f32 cosTheta_i (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 cosTheta_O v)))
(neg.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i (/.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 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(neg.f32 (*.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v)))))
(neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v))) (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
(neg.f32 (*.f32 (/.f32 cosTheta_i (/.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 0 binary32) (/.f32 cosTheta_O v))))
(neg.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i (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)))))
(neg.f32 (*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (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 #s(literal -1 binary32) v)))
(neg.f32 (*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (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 (*.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) (/.f32 #s(literal -1/2 binary32) v)))
(neg.f32 (*.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)))
(neg.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) cosTheta_i))
(neg.f32 (*.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)))
(neg.f32 (/.f32 (/.f32 (neg.f32 cosTheta_i) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 cosTheta_O v))))
(neg.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (*.f32 (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))))))
(neg.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
(neg.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (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 v cosTheta_O)))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v)) (*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_i) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 v #s(literal 1/2 binary32))))))
(neg.f32 (/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O 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))))))
(neg.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 (/.f32 v cosTheta_O)))))
(neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))
(neg.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (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))) (neg.f32 v)))
(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 #s(literal -1/2 binary32) v))))
(neg.f32 (/.f32 (/.f32 cosTheta_i (/.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 0 binary32) (/.f32 v cosTheta_O))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (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 (/.f32 #s(literal 1/2 binary32) v)))))))
(neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))))
(neg.f32 (/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (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))) v))
(neg.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (neg.f32 cosTheta_i))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(neg.f32 (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 cosTheta_i)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (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 (/.f32 #s(literal 1/2 binary32) v)))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (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 (/.f32 #s(literal 1/2 binary32) v))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v))) (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (neg.f32 cosTheta_i))) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v))) (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (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 #s(literal 1/2 binary32) v) (*.f32 (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 #s(literal 0 binary32) (*.f32 (neg.f32 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 cosTheta_i cosTheta_O) (*.f32 (neg.f32 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 #s(literal 0 binary32) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v))))) (/.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 #s(literal 0 binary32) (/.f32 cosTheta_O v))))))
(/.f32 cosTheta_i (/.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 v)))
(/.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 cosTheta_i (neg.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 cosTheta_O v)))))
(/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 cosTheta_O v)))
(/.f32 #s(literal 1 binary32) (/.f32 (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 (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (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 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 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 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_i (/.f32 v cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (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 #s(literal -1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 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 #s(literal 0 binary32) (*.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 cosTheta_O v))) (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.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_O v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))) cosTheta_i))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 cosTheta_O v))) (neg.f32 cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_O v)))) (/.f32 cosTheta_i (/.f32 v #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v))) (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.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 v)) cosTheta_i))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (/.f32 cosTheta_i (/.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)))))) cosTheta_O))
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(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 v cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (neg.f32 cosTheta_i) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
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(/.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 1/2 binary32)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
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(/.f32 (/.f32 #s(literal 1/2 binary32) v) (neg.f32 (*.f32 (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 cosTheta_i (/.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 v cosTheta_O))
(/.f32 cosTheta_O (/.f32 v (/.f32 cosTheta_i (/.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)))))))
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(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 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))))))
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(/.f32 (/.f32 cosTheta_i (/.f32 v 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) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v)))))
(/.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O v)))
(/.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))))
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(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
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(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (neg.f32 cosTheta_i)))
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(/.f32 (neg.f32 cosTheta_i) (*.f32 (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 cosTheta_O v))))
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(/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O 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)))))
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(/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_O v))))
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(/.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 #s(literal 1/2 binary32) v)))
(/.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_O v))) (/.f32 #s(literal 1 binary32) cosTheta_i))
(/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal -1/2 binary32))) (neg.f32 (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_O v)))))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v)) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (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))) (neg.f32 v))
(/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (neg.f32 cosTheta_i))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)))
(/.f32 (/.f32 (/.f32 cosTheta_i (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 #s(literal 0 binary32) (/.f32 v cosTheta_O)))
(/.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v))))
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(/.f32 (/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v #s(literal 1/2 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_O v)))
(/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 cosTheta_i)) (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(/.f32 (/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v)))
(/.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 1/2 binary32)))
(/.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)) #s(literal 1/2 binary32))) v)
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 #s(literal -1 binary32) cosTheta_i))
(/.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 -1/2 binary32)))
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(*.f32 cosTheta_i (/.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_O v))))
(*.f32 cosTheta_i (/.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 v))))
(*.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 cosTheta_O v))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (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))))
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(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.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 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 #s(literal 1 binary32) (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)))))
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(*.f32 cosTheta_O (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_i) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 v #s(literal 1/2 binary32))))))
(*.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 cosTheta_i (/.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 cosTheta_O v) (/.f32 cosTheta_i (/.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 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
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(*.f32 (/.f32 cosTheta_i (/.f32 v 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 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v))) (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
(*.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (/.f32 cosTheta_O v) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
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(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (*.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v))))) (/.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 #s(literal 0 binary32) (/.f32 cosTheta_O v))))))
(/.f32 cosTheta_i (/.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 v)))
(/.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 cosTheta_i (neg.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 cosTheta_O v)))))
(/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 cosTheta_O v)))
(/.f32 #s(literal 1 binary32) (/.f32 (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 (/.f32 #s(literal 1/2 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/2 binary32)))
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(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 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 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_i (/.f32 v cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (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 #s(literal -1/2 binary32) v)))
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(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 cosTheta_O v))) (neg.f32 cosTheta_i)))
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(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v))) (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.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 v)) cosTheta_i))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (/.f32 cosTheta_i (/.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)))))) cosTheta_O))
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(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 v cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (neg.f32 cosTheta_i) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))))
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(/.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 1/2 binary32)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
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(/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (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 #s(literal 1/2 binary32) v) (neg.f32 (*.f32 (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 cosTheta_i (/.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 v cosTheta_O))
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(/.f32 (/.f32 cosTheta_O v) (*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_i) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 v #s(literal 1/2 binary32)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 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))))))
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(/.f32 (/.f32 cosTheta_i (/.f32 v 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) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v)))))
(/.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 cosTheta_O v)))
(/.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 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
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(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (neg.f32 cosTheta_i)))
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(/.f32 (neg.f32 cosTheta_i) (*.f32 (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 cosTheta_O v))))
(/.f32 (neg.f32 cosTheta_i) (neg.f32 (/.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 v))))
(/.f32 (/.f32 #s(literal -1/2 binary32) v) (*.f32 (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)))))
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(/.f32 (*.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O 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 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (neg.f32 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))))))
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(/.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 #s(literal 0 binary32) (/.f32 cosTheta_O v)))))
(/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_O v))))
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(/.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 #s(literal 1/2 binary32) v)))
(/.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_O v))) (/.f32 #s(literal 1 binary32) cosTheta_i))
(/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal -1/2 binary32))) (neg.f32 (*.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_O v)))))
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v)) (/.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
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(/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (neg.f32 cosTheta_i))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)))
(/.f32 (/.f32 (/.f32 cosTheta_i (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 #s(literal 0 binary32) (/.f32 v cosTheta_O)))
(/.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32))) (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v)))) (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))))
(/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))) (/.f32 v #s(literal 1/2 binary32)))
(/.f32 (/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v #s(literal 1/2 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_O v)))
(/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (neg.f32 cosTheta_i)) (neg.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))))
(/.f32 (/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)))) (/.f32 v #s(literal -1/2 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 cosTheta_O v)))
(/.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 1/2 binary32)))
(/.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)) #s(literal 1/2 binary32))) v)
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(/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)) #s(literal -2 binary32))
(/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal -1 binary32))
(/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 4 binary32))
(*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) 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)) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)) #s(literal -1/2 binary32))
(neg.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)))
(neg.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32)))
(+.f32 (*.f32 (neg.f32 v) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (neg.f32 v) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+.f32 (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(+.f32 (*.f32 v (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(+.f32 (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (neg.f32 v)))
(+.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))) v))
(+.f32 (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))) v) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) #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))
(fma.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(fma.f32 v (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(fma.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v (*.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))) v))
(fma.f32 (neg.f32 v) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (neg.f32 v) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(fma.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))) v (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v))
(fma.f32 (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v) (*.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (neg.f32 v)))
(-.f32 #s(literal 0 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)))
(-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v)))
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) (/.f32 v #s(literal 1/2 binary32)))) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal 2 binary32) (/.f32 v #s(literal 1/2 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/2 binary32) v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)))
(/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.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 (/.f32 #s(literal 2 binary32) (/.f32 v #s(literal 1/2 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
(/.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 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) v))
(/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 2 binary32) (/.f32 v #s(literal 1/2 binary32))))
(/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)) #s(literal -1 binary32))
(/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)) (/.f32 #s(literal -1 binary32) v))
(/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)) (neg.f32 (/.f32 #s(literal 2 binary32) (/.f32 v #s(literal 1/2 binary32)))))
(/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v))
(/.f32 (/.f32 v #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 1/2 binary32))
(/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -1/2 binary32))
(/.f32 (/.f32 v #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 2 binary32))
(/.f32 (neg.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) v))) #s(literal -2 binary32))
(*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v #s(literal 1/2 binary32)))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1 binary32))
(*.f32 #s(literal 2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 #s(literal 2 binary32) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) v)
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 v #s(literal 1/2 binary32)))))
(*.f32 (neg.f32 v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)) (neg.f32 v))
(*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 v #s(literal -1/2 binary32)))
(*.f32 (/.f32 v #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(*.f32 (/.f32 v #s(literal -1/2 binary32)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 (/.f32 v #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) v)) #s(literal 1/2 binary32))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -1 binary32)) (/.f32 v #s(literal -1/2 binary32)))
(*.f32 (pow.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 -1 binary32)) #s(literal 1/2 binary32))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 v sinTheta_O) sinTheta_i)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 v sinTheta_O) sinTheta_i) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 v)) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 sinTheta_i (/.f32 v sinTheta_O))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v sinTheta_O) sinTheta_i))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) (neg.f32 v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 (*.f32 sinTheta_i sinTheta_O) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 sinTheta_i (/.f32 v sinTheta_O)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 sinTheta_i sinTheta_O))
(*.f32 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 sinTheta_i sinTheta_O)) #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 v sinTheta_O) sinTheta_i)))
(*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 sinTheta_i (neg.f32 sinTheta_O)))
(*.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 (/.f32 sinTheta_i v) sinTheta_O)
(neg.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(exp.f32 (*.f32 (log.f32 (/.f32 v (/.f32 #s(literal 1/3 binary32) v))) #s(literal -1 binary32)))
(pow.f32 (/.f32 v (/.f32 #s(literal 1/3 binary32) v)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 v v) #s(literal -1/3 binary32)))
(/.f32 #s(literal -1/3 binary32) (-.f32 #s(literal 0 binary32) (*.f32 v v)))
(/.f32 (/.f32 #s(literal 1/3 binary32) v) v)
(/.f32 (/.f32 #s(literal -1/3 binary32) v) (neg.f32 v))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v))
(*.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(*.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(*.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1 binary32) (*.f32 v v)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/3 binary32))
(*.f32 (/.f32 #s(literal 1/3 binary32) v) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal -1/3 binary32) v) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 v v)) #s(literal -1/3 binary32))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (*.f32 (log.f32 (E.f32)) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (E.f32) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (E.f32) (/.f32 #s(literal -1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v))))

simplify404.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
6548×*-lowering-*.f32
6548×*-lowering-*.f64
4552×+-lowering-+.f64
4552×+-lowering-+.f32
1912×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07819826
127909093
090689093
Stop Event
1×iter limit
1×node limit
Counts
660 → 660
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 (/ 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) (* (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 (/ (* 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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_i (pow sinTheta_O 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* 1/2 cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_i)))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* 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_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* 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_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_i))))
(* 1/2 cosTheta_i)
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (+ (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v)) (* 1/2 (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_O) v))))
(+ cosTheta_i (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_i (pow sinTheta_O 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_i (pow sinTheta_O 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_O) v))))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_i) v))))
(+ cosTheta_i (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_i (pow sinTheta_i 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_i (pow sinTheta_i 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_i) v))))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(- (+ cosTheta_i (* -1 (/ (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 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 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3)))) (+ (* -1 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 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_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_i (* -1 (/ (- (+ (* -1 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)))
(+ cosTheta_i (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (+ (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (/ (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1 (* cosTheta_i (* 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))
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))
(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)))
(* 1/2 (/ (* 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))
(* 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))
(* 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))
(* 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))
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(/ 1/2 v)
(* 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) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* v (+ (* -18 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 3 (* cosTheta_O cosTheta_i))))
(* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* (pow v 2) (- (* 108 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 18 (* cosTheta_O cosTheta_i))))))
(* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* (pow v 2) (- (* (pow v 2) (- (* -648 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* -108 (* cosTheta_O cosTheta_i)))) (* 18 (* cosTheta_O cosTheta_i))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (- (+ (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/ (- (+ (* -1/432 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/432 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* 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)
(/ 1/3 (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (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 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))
(* 1/2 cosTheta_i)
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))
(- (+ (* -1 (/ (+ (* -1/72 cosTheta_i) (* 1/240 cosTheta_i)) (pow v 4))) (* 1/2 cosTheta_i)) (* 1/12 (/ cosTheta_i (pow v 2))))
(- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 cosTheta_i) (* 1/240 cosTheta_i))) (+ (* -1/1440 cosTheta_i) (* 1/10080 cosTheta_i))) (pow v 6))) (* 1/2 cosTheta_i)) (+ (* -1/72 (/ cosTheta_i (pow v 4))) (+ (* 1/240 (/ cosTheta_i (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))))
(* 1/2 cosTheta_i)
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* -1/240 (/ cosTheta_i (pow v 4))) (+ (* 1/72 (/ cosTheta_i (pow v 4))) (* 1/2 cosTheta_i))))
(+ (* -1/6 (/ (+ (* -1/240 cosTheta_i) (* 1/72 cosTheta_i)) (pow v 6))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* -1/240 (/ cosTheta_i (pow v 4))) (+ (* -1/10080 (/ cosTheta_i (pow v 6))) (+ (* 1/1440 (/ cosTheta_i (pow v 6))) (+ (* 1/72 (/ cosTheta_i (pow v 4))) (* 1/2 cosTheta_i)))))))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(- (exp (/ 1 v)) (exp (/ -1 v)))
(/ 2 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)))))) v)
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))
(* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i 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 (/ (* 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 (/ 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 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ cosTheta_O v))
(/ (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))) v)
(* 1/2 (/ cosTheta_O v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (* 1/12 (/ cosTheta_O (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))) v))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_O (* (pow v 2) (- (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 (* 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)))))
(* 1/2 (- (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))
(* 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))))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ 1/3 (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))
(exp (/ 1 v))
(exp (/ 1 v))
(exp (/ 1 v))
(exp (/ 1 v))
1
(+ 1 (/ 1 v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))
1
(+ 1 (/ 1 v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(exp (/ -1 v))
(exp (/ -1 v))
(exp (/ -1 v))
(exp (/ -1 v))
1
(- 1 (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
1
(- 1 (/ 1 v))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))
Outputs
(/ (* 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 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_O cosTheta_i) (*.f32 v v)) (*.f32 (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 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(-.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_O (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (/.f32 cosTheta_i v) (-.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 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))) (*.f32 v (*.f32 v v)))))) (/.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/2 (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_i (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_i (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_i (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+.f32 (/.f32 (/.f32 cosTheta_i v) (-.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 (*.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) (-.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 (*.f32 cosTheta_i (*.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 (*.f32 (*.f32 sinTheta_i #s(literal -1 binary32)) (/.f32 (*.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))) (*.f32 v (*.f32 v v))))) v)) (/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_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 #s(literal 1/2 binary32) (/.f32 (*.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))) (*.f32 v (*.f32 v v))))))) (/.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
(/ cosTheta_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (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_i)
(*.f32 cosTheta_i #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_i)))
(+.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (*.f32 cosTheta_i sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (+.f32 (*.f32 cosTheta_i #s(literal 1/6 binary32)) (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32))) (*.f32 v v)))) (*.f32 cosTheta_i #s(literal 1/2 binary32)))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/2 (/ (+ (* -1 (* 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_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (* 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_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* cosTheta_i (+ 1/6 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 2))) (* 1/2 cosTheta_i))))
(+.f32 (+.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (*.f32 cosTheta_i sinTheta_O) (/.f32 sinTheta_i v)) (/.f32 (+.f32 (*.f32 cosTheta_i #s(literal 1/6 binary32)) (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32))) (*.f32 v v)))) (*.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 (*.f32 (*.f32 cosTheta_i #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_i #s(literal 1/6 binary32)) (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32))))) (*.f32 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))))
(* 1/2 cosTheta_i)
(*.f32 cosTheta_i #s(literal 1/2 binary32))
(+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_i))
(+.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) (*.f32 sinTheta_O sinTheta_i)) v))
(+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(-.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) (+.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) (*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) sinTheta_O) sinTheta_i)) v))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* cosTheta_i (* sinTheta_O (* sinTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6)))) (+ (* cosTheta_i (+ (* 1/6 (* sinTheta_O sinTheta_i)) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* sinTheta_O (* sinTheta_i (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))))) v)) (* 1/2 (+ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* cosTheta_i (- (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6))))) v)) (* 1/2 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_i))
(-.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) sinTheta_O) sinTheta_i) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 cosTheta_i (+.f32 (*.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 #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 (*.f32 cosTheta_i sinTheta_i) (+.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) (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (+.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))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_i (*.f32 (*.f32 cosTheta_i sinTheta_O) (/.f32 sinTheta_i v)))
(+ cosTheta_i (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_O) v))))
(+.f32 cosTheta_i (*.f32 sinTheta_i (-.f32 (*.f32 (*.f32 sinTheta_i #s(literal 1/2 binary32)) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))) (/.f32 (*.f32 cosTheta_i sinTheta_O) v))))
(+ cosTheta_i (* sinTheta_i (- (* sinTheta_i (- (* -1 (* sinTheta_i (+ (* -1 (/ (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_i (pow sinTheta_O 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_i (pow sinTheta_O 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_O) v))))
(+.f32 cosTheta_i (*.f32 sinTheta_i (-.f32 (*.f32 sinTheta_i (+.f32 (*.f32 (+.f32 (/.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v)) sinTheta_O) v) (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v))) #s(literal -1/3 binary32))) (neg.f32 sinTheta_i)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v)))) (/.f32 (*.f32 cosTheta_i sinTheta_O) v))))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_i (*.f32 (*.f32 cosTheta_i sinTheta_O) (/.f32 sinTheta_i v)))
(+ cosTheta_i (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_i) v))))
(+.f32 cosTheta_i (*.f32 sinTheta_O (-.f32 (*.f32 sinTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (/.f32 (*.f32 cosTheta_i sinTheta_i) v))))
(+ cosTheta_i (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))) v)) (+ (* -1/2 (/ (* cosTheta_i (pow sinTheta_i 3)) (pow v 3))) (* 1/6 (/ (* cosTheta_i (pow sinTheta_i 3)) (pow v 3))))))) (+ (* -1 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2)))))) (/ (* cosTheta_i sinTheta_i) v))))
(+.f32 cosTheta_i (*.f32 sinTheta_O (-.f32 (*.f32 sinTheta_O (+.f32 (*.f32 (+.f32 (/.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)) sinTheta_i) v) (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v (*.f32 v v))) #s(literal -1/3 binary32))) (neg.f32 sinTheta_O)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))) (/.f32 (*.f32 cosTheta_i sinTheta_i) v))))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/ cosTheta_i (exp (/ (* sinTheta_O sinTheta_i) v)))
(/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_i (*.f32 (*.f32 cosTheta_i sinTheta_O) (/.f32 sinTheta_i v)))
(- (+ cosTheta_i (* -1 (/ (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (pow v 2)))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))
(-.f32 (+.f32 cosTheta_i (/.f32 (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v))) (*.f32 (*.f32 cosTheta_i sinTheta_O) (/.f32 sinTheta_i v)))
(- (+ cosTheta_i (* -1 (/ (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))))) (+ (* -1/2 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (* 1/6 (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (pow v 3)))) (+ (* -1 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (+ (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(-.f32 (-.f32 cosTheta_i (/.f32 (+.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (*.f32 (*.f32 cosTheta_i (*.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 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) #s(literal -1/2 binary32)) (*.f32 (*.f32 cosTheta_i sinTheta_O) (/.f32 sinTheta_i v))))
cosTheta_i
(+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_i (*.f32 (*.f32 cosTheta_i sinTheta_O) (/.f32 sinTheta_i v)))
(+ cosTheta_i (* -1 (/ (- (+ (* -1 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)))
(-.f32 cosTheta_i (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_i) v)) #s(literal -1/2 binary32)) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) v))
(+ cosTheta_i (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (+ (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (/ (* sinTheta_O (* sinTheta_i (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) (+ (* -1 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1 (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)))
(+.f32 cosTheta_i (/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) v)) #s(literal 1/3 binary32)) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/2 binary32)) v) (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/2 binary32)))) v) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) v))
1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (/.f32 (*.f32 sinTheta_O 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 (*.f32 #s(literal 1/6 binary32) 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 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (/.f32 (*.f32 sinTheta_O 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 sinTheta_i v) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (*.f32 v 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 (*.f32 #s(literal 1/6 binary32) (*.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 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(exp (/ (* sinTheta_O sinTheta_i) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (/.f32 (*.f32 sinTheta_O 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 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v 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 (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v))) (+.f32 (*.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))) #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (/ (* sinTheta_O sinTheta_i) v))
(+.f32 (/.f32 (*.f32 sinTheta_O 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 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.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 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) v))) v)) 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 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) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) 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)
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(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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(* cosTheta_O cosTheta_i)
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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 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)
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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 (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) sinTheta_i) v) (/.f32 (-.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 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 sinTheta_i sinTheta_i))) (*.f32 v v)))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #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 (*.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) (+.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 (*.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 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) sinTheta_i)) v)) (neg.f32 v))
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(+.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) (+.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))) (* 31/30240 (/ 1 (pow v 6)))))
(+.f32 #s(literal 1/2 binary32) (-.f32 (-.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32)))) (/.f32 #s(literal 1/12 binary32) (*.f32 v 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 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) (+.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))) (* 31/30240 (/ 1 (pow v 6)))))
(+.f32 #s(literal 1/2 binary32) (-.f32 (-.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32)))) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))))
(* 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 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 1 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 (/.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v)))) (*.f32 v v)) #s(literal -1 binary32)) (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 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (*.f32 v v))) (neg.f32 (pow.f32 v #s(literal 4 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) (neg.f32 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 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))) (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 2 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 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))) (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 2 binary32)))
(/ (* 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)
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp (/ 1 v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
1
#s(literal 1 binary32)
(+ 1 (/ 1 v))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))
(+.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (/.f32 #s(literal 1/6 binary32) (*.f32 v (*.f32 v v))))
1
#s(literal 1 binary32)
(+ 1 (/ 1 v))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (*.f32 v v)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/6 binary32) v)) v) #s(literal -1 binary32)) v))
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp (/ -1 v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
1
#s(literal 1 binary32)
(- 1 (/ 1 v))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v))
(- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v)))
(- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/6 binary32) (*.f32 v (*.f32 v v))))))
1
#s(literal 1 binary32)
(- 1 (/ 1 v))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) v))
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/2 binary32) v)) v))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/6 binary32) v)) v)) v))

eval187.0ms (1%)

Compiler

Compiled 43325 to 3660 computations (91.6% saved)

prune277.0ms (1.5%)

Pruning

69 alts after pruning (67 fresh and 2 done)

PrunedKeptTotal
New1985502035
Fresh141731
Picked415
Done011
Total2003692072
Accuracy
100.0%
Counts
2072 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.9%
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) (*.f32 cosTheta_i cosTheta_O))) v)
95.0%
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)))) v)
98.9%
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) cosTheta_i))
63.3%
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
98.5%
(/.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))))
63.3%
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
63.3%
(/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
98.8%
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_O v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))
63.3%
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) v)
98.6%
(/.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))))
63.3%
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v)))
56.0%
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
63.3%
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
63.3%
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
63.3%
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/3 binary32))))
94.8%
(/.f32 (/.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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) v)
98.8%
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
63.3%
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))
63.3%
(/.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
63.3%
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
▶63.3%
(/.f32 (/.f32 cosTheta_O (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i))
98.6%
(/.f32 (*.f32 (pow.f32 (/.f32 (/.f32 v cosTheta_O) (/.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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))
92.8%
(/.f32 (*.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1/2 binary32) v)) #s(literal -1 binary32)) (pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal -1 binary32))) v)
98.4%
(/.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) cosTheta_O) v)
63.3%
(/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
57.9%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
✓57.7%
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
57.7%
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
98.8%
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) v))))
63.3%
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
98.8%
(/.f32 (neg.f32 cosTheta_i) (/.f32 (/.f32 v cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
91.0%
(/.f32 (exp.f32 (-.f32 (*.f32 (log.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
98.9%
(/.f32 cosTheta_i (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 cosTheta_O v)))
98.8%
(/.f32 cosTheta_O (/.f32 v (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))))
62.2%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
62.2%
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))))
57.8%
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
98.8%
(*.f32 (/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 cosTheta_O v))
69.6%
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.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 cosTheta_O v))
▶63.3%
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 cosTheta_O v))
57.7%
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v))
98.3%
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O v))
98.6%
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O v))
63.3%
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) cosTheta_O)
98.9%
(*.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i)
98.4%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) cosTheta_O)
63.3%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_O))
98.6%
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) (/.f32 cosTheta_O v))
63.3%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 1 binary32) v))
95.0%
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) #s(literal -1 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
▶99.0%
(*.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
63.3%
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
57.7%
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
57.7%
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
63.3%
(*.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 cosTheta_O v))
63.3%
(*.f32 (/.f32 cosTheta_i (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_O)
57.7%
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
63.3%
(*.f32 (/.f32 cosTheta_O (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_i)
▶98.3%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 cosTheta_O v))
57.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
✓57.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
98.7%
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
98.9%
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (/.f32 cosTheta_O v))
98.6%
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_O v))
▶56.0%
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
98.6%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (*.f32 v (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
97.1%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O)) #s(literal -1 binary32))) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
52.7%
(*.f32 v (+.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -18 binary32)) (*.f32 v v)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32))))
98.8%
(*.f32 cosTheta_O (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Compiler

Compiled 2814 to 2020 computations (28.2% saved)

simplify228.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
✓cost-diff0
(/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)
✓cost-diff64
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))
✓cost-diff64
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 cosTheta_O v))
✓cost-diff0
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)
✓cost-diff0
(/.f32 cosTheta_i v)
✓cost-diff128
(/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
✓cost-diff128
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 cosTheta_O v))
✓cost-diff0
(/.f32 #s(literal -1/3 binary32) (*.f32 v v))
✓cost-diff0
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
✓cost-diff0
(/.f32 cosTheta_O (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))
✓cost-diff0
(/.f32 (/.f32 cosTheta_O (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i))
✓cost-diff0
(*.f32 cosTheta_O cosTheta_i)
✓cost-diff0
(*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32))
✓cost-diff0
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
✓cost-diff0
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓cost-diff0
(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
✓cost-diff0
(/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓cost-diff0
(*.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
Rules
4064×*-lowering-*.f32
4064×*-lowering-*.f64
3476×/-lowering-/.f32
3476×/-lowering-/.f64
1084×associate-/l/
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034213
189213
2249211
3818207
42649207
54467207
67918207
08147207
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ cosTheta_i (/ (sinh (/ 1 v)) (/ 1/2 v))) (/ cosTheta_O v))
(/ cosTheta_i (/ (sinh (/ 1 v)) (/ 1/2 v)))
cosTheta_i
(/ (sinh (/ 1 v)) (/ 1/2 v))
(sinh (/ 1 v))
(/ 1 v)
1
v
(/ 1/2 v)
1/2
(/ cosTheta_O v)
cosTheta_O
(* (* (* cosTheta_O cosTheta_i) 3) v)
(* (* cosTheta_O cosTheta_i) 3)
(* cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
3
v
(/ (/ cosTheta_O (- 2 (/ -1/3 (* v v)))) (/ v cosTheta_i))
(/ cosTheta_O (- 2 (/ -1/3 (* v v))))
cosTheta_O
(- 2 (/ -1/3 (* v v)))
2
(/ -1/3 (* v v))
-1/3
(* v v)
v
(/ v cosTheta_i)
cosTheta_i
(* (/ (/ cosTheta_i v) (/ (+ 2 (/ 1/3 (* v v))) v)) (/ cosTheta_O v))
(/ (/ cosTheta_i v) (/ (+ 2 (/ 1/3 (* v v))) v))
(/ cosTheta_i v)
cosTheta_i
v
(/ (+ 2 (/ 1/3 (* v v))) v)
(+ 2 (/ 1/3 (* v v)))
2
(/ 1/3 (* v v))
1/3
(* v v)
(/ cosTheta_O v)
cosTheta_O
(* (/ 1 (/ (/ (sinh (/ 1 v)) (/ 1/2 v)) cosTheta_i)) (/ cosTheta_O v))
(/ 1 (/ (/ (sinh (/ 1 v)) (/ 1/2 v)) cosTheta_i))
1
(/ (/ (sinh (/ 1 v)) (/ 1/2 v)) cosTheta_i)
(/ (sinh (/ 1 v)) (/ 1/2 v))
(sinh (/ 1 v))
(/ 1 v)
v
(/ 1/2 v)
1/2
cosTheta_i
(/ cosTheta_O v)
cosTheta_O
Outputs
(* (/ cosTheta_i (/ (sinh (/ 1 v)) (/ 1/2 v))) (/ cosTheta_O v))
(/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i))))
(/ cosTheta_i (/ (sinh (/ 1 v)) (/ 1/2 v)))
(/.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
cosTheta_i
(/ (sinh (/ 1 v)) (/ 1/2 v))
(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) 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
#s(literal 1 binary32)
v
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
cosTheta_O
(* (* (* cosTheta_O cosTheta_i) 3) v)
(*.f32 cosTheta_i (*.f32 #s(literal 3 binary32) (*.f32 v cosTheta_O)))
(* (* cosTheta_O cosTheta_i) 3)
(*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 3 binary32)))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
3
#s(literal 3 binary32)
v
(/ (/ cosTheta_O (- 2 (/ -1/3 (* v v)))) (/ v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/ cosTheta_O (- 2 (/ -1/3 (* v v))))
(/.f32 cosTheta_O (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
cosTheta_O
(- 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)
v
(/ v cosTheta_i)
(/.f32 v cosTheta_i)
cosTheta_i
(* (/ (/ cosTheta_i v) (/ (+ 2 (/ 1/3 (* v v))) v)) (/ cosTheta_O v))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/ (/ cosTheta_i v) (/ (+ 2 (/ 1/3 (* v v))) v))
(/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
cosTheta_i
v
(/ (+ 2 (/ 1/3 (* v v))) v)
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) 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)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
cosTheta_O
(* (/ 1 (/ (/ (sinh (/ 1 v)) (/ 1/2 v)) cosTheta_i)) (/ cosTheta_O v))
(/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i))))
(/ 1 (/ (/ (sinh (/ 1 v)) (/ 1/2 v)) cosTheta_i))
(/.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
1
#s(literal 1 binary32)
(/ (/ (sinh (/ 1 v)) (/ 1/2 v)) cosTheta_i)
(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)))
(/ (sinh (/ 1 v)) (/ 1/2 v))
(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) 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)
v
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
1/2
#s(literal 1/2 binary32)
cosTheta_i
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
cosTheta_O

localize224.0ms (1.2%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)
✓accuracy98.9%
(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
✓accuracy97.7%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy95.0%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i))
✓accuracy99.4%
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 cosTheta_O v))
✓accuracy99.2%
(/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)
✓accuracy99.1%
(/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
✓accuracy98.6%
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
✓accuracy99.6%
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
✓accuracy99.3%
(/.f32 (/.f32 cosTheta_O (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i))
✓accuracy99.2%
(/.f32 cosTheta_O (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))
✓accuracy98.6%
(/.f32 #s(literal -1/3 binary32) (*.f32 v v))
✓accuracy100.0%
(*.f32 cosTheta_O cosTheta_i)
✓accuracy99.5%
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
✓accuracy99.3%
(*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32))
✓accuracy99.5%
(*.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
✓accuracy99.4%
(/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
✓accuracy98.9%
(/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))
✓accuracy97.7%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Results
148.0ms256×0valid
Compiler

Compiled 249 to 37 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-div: 27.0ms (45.3% of total)
ival-mult: 11.0ms (18.4% of total)
ival-sinh: 10.0ms (16.8% of total)
...c/correct-round.rkt:119:19: 8.0ms (13.4% of total)
ival-sub: 1.0ms (1.7% of total)
ival-add: 1.0ms (1.7% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series35.0ms (0.2%)

Counts
19 → 444
Calls
Call 1
Inputs
#<alt (* (/ cosTheta_i (/ (sinh (/ 1 v)) (/ 1/2 v))) (/ cosTheta_O v))>
#<alt (/ cosTheta_i (/ (sinh (/ 1 v)) (/ 1/2 v)))>
#<alt (/ (sinh (/ 1 v)) (/ 1/2 v))>
#<alt (sinh (/ 1 v))>
#<alt (* (* (* cosTheta_O cosTheta_i) 3) v)>
#<alt (* (* cosTheta_O cosTheta_i) 3)>
#<alt (* cosTheta_O cosTheta_i)>
#<alt (/ (/ cosTheta_O (- 2 (/ -1/3 (* v v)))) (/ v cosTheta_i))>
#<alt (/ cosTheta_O (- 2 (/ -1/3 (* v v))))>
#<alt (- 2 (/ -1/3 (* v v)))>
#<alt (/ -1/3 (* v v))>
#<alt (* (/ (/ cosTheta_i v) (/ (+ 2 (/ 1/3 (* v v))) v)) (/ cosTheta_O v))>
#<alt (/ (/ cosTheta_i v) (/ (+ 2 (/ 1/3 (* v v))) v))>
#<alt (/ cosTheta_i v)>
#<alt (/ (+ 2 (/ 1/3 (* v v))) v)>
#<alt (* (/ 1 (/ (/ (sinh (/ 1 v)) (/ 1/2 v)) cosTheta_i)) (/ cosTheta_O v))>
#<alt (/ 1 (/ (/ (sinh (/ 1 v)) (/ 1/2 v)) cosTheta_i))>
#<alt (/ (/ (sinh (/ 1 v)) (/ 1/2 v)) cosTheta_i)>
#<alt (/ 1/3 (* v v))>
Outputs
#<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))))))>
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#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))>
#<alt (/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* 3 (* cosTheta_i (pow v 2)))>
#<alt (* (pow v 2) (+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i)))>
#<alt (* (pow v 2) (+ (* 3 cosTheta_i) (* (pow v 2) (- (* 108 (* cosTheta_i (pow v 2))) (* 18 cosTheta_i)))))>
#<alt (* (pow v 2) (+ (* 3 cosTheta_i) (* (pow v 2) (- (* (pow v 2) (- (* -648 (* cosTheta_i (pow v 2))) (* -108 cosTheta_i))) (* 18 cosTheta_i)))))>
#<alt (* 1/2 cosTheta_i)>
#<alt (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))>
#<alt (- (+ (* 1/72 (/ cosTheta_i (pow v 4))) (* 1/2 cosTheta_i)) (* 1/12 (/ cosTheta_i (pow v 2))))>
#<alt (- (+ (* -1/432 (/ cosTheta_i (pow v 6))) (* 1/2 cosTheta_i)) (+ (* -1/72 (/ cosTheta_i (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))>
#<alt (* 1/2 cosTheta_i)>
#<alt (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))>
#<alt (- (+ (* 1/72 (/ cosTheta_i (pow v 4))) (* 1/2 cosTheta_i)) (* 1/12 (/ cosTheta_i (pow v 2))))>
#<alt (- (+ (* -1/432 (/ cosTheta_i (pow v 6))) (* 1/2 cosTheta_i)) (+ (* -1/72 (/ cosTheta_i (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ cosTheta_i v)>
#<alt (/ 1/3 (pow v 3))>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) (pow v 3))>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) (pow v 3))>
#<alt (/ (+ 1/3 (* 2 (pow v 2))) (pow v 3))>
#<alt (/ 2 v)>
#<alt (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)>
#<alt (/ 2 v)>
#<alt (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 2 (* 1/3 (/ 1 (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 (* 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 (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 cosTheta_i)>
#<alt (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))>
#<alt (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))>
#<alt (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))))>
#<alt (* 1/2 cosTheta_i)>
#<alt (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))>
#<alt (+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4)))))>
#<alt (+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (* 1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ 2 cosTheta_i)>
#<alt (+ (* 2 (/ 1 cosTheta_i)) (* 1/3 (/ 1 (* cosTheta_i (pow v 2)))))>
#<alt (+ (/ 1/60 (* cosTheta_i (pow v 4))) (+ (/ 1/3 (* cosTheta_i (pow v 2))) (* 2 (/ 1 cosTheta_i))))>
#<alt (+ (/ 1/3 (* cosTheta_i (pow v 2))) (+ (* 2 (/ 1 cosTheta_i)) (+ (* 1/60 (/ 1 (* cosTheta_i (pow v 4)))) (* 1/2520 (/ 1 (* cosTheta_i (pow v 6)))))))>
#<alt (/ 2 cosTheta_i)>
#<alt (+ (* 2 (/ 1 cosTheta_i)) (* 1/3 (/ 1 (* cosTheta_i (pow v 2)))))>
#<alt (+ (/ 1/60 (* cosTheta_i (pow v 4))) (+ (/ 1/3 (* cosTheta_i (pow v 2))) (* 2 (/ 1 cosTheta_i))))>
#<alt (+ (/ 1/3 (* cosTheta_i (pow v 2))) (+ (* 2 (/ 1 cosTheta_i)) (+ (* 1/60 (/ 1 (* cosTheta_i (pow v 4)))) (* 1/2520 (/ 1 (* cosTheta_i (pow v 6)))))))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)>
#<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))>
Calls

111 calls:

TimeVariablePointExpression
4.0ms
cosTheta_i
@0
(/ cosTheta_i (/ (sinh (/ 1 v)) (/ 1/2 v)))
2.0ms
v
@0
(/ (/ (sinh (/ 1 v)) (/ 1/2 v)) cosTheta_i)
1.0ms
cosTheta_O
@0
(* (/ cosTheta_i (/ (sinh (/ 1 v)) (/ 1/2 v))) (/ cosTheta_O v))
1.0ms
cosTheta_i
@inf
(/ cosTheta_i (/ (sinh (/ 1 v)) (/ 1/2 v)))
1.0ms
cosTheta_i
@0
(* (/ cosTheta_i (/ (sinh (/ 1 v)) (/ 1/2 v))) (/ cosTheta_O v))

rewrite286.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
3878×*-lowering-*.f32
3878×*-lowering-*.f64
3034×/-lowering-/.f32
3034×/-lowering-/.f64
1086×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034147
1177145
21362141
36865141
08030141
Stop Event
1×iter limit
1×node limit
Counts
19 → 1182
Calls
Call 1
Inputs
(* (/ cosTheta_i (/ (sinh (/ 1 v)) (/ 1/2 v))) (/ cosTheta_O v))
(/ cosTheta_i (/ (sinh (/ 1 v)) (/ 1/2 v)))
(/ (sinh (/ 1 v)) (/ 1/2 v))
(sinh (/ 1 v))
(* (* (* cosTheta_O cosTheta_i) 3) v)
(* (* cosTheta_O cosTheta_i) 3)
(* cosTheta_O cosTheta_i)
(/ (/ cosTheta_O (- 2 (/ -1/3 (* v v)))) (/ v cosTheta_i))
(/ cosTheta_O (- 2 (/ -1/3 (* v v))))
(- 2 (/ -1/3 (* v v)))
(/ -1/3 (* v v))
(* (/ (/ cosTheta_i v) (/ (+ 2 (/ 1/3 (* v v))) v)) (/ cosTheta_O v))
(/ (/ cosTheta_i v) (/ (+ 2 (/ 1/3 (* v v))) v))
(/ cosTheta_i v)
(/ (+ 2 (/ 1/3 (* v v))) v)
(* (/ 1 (/ (/ (sinh (/ 1 v)) (/ 1/2 v)) cosTheta_i)) (/ cosTheta_O v))
(/ 1 (/ (/ (sinh (/ 1 v)) (/ 1/2 v)) cosTheta_i))
(/ (/ (sinh (/ 1 v)) (/ 1/2 v)) cosTheta_i)
(/ 1/3 (* v v))
Outputs
(neg.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))))
(neg.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 cosTheta_O v)))
(neg.f32 (*.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v)) (/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal -1/2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v #s(literal -1/2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v))))
(neg.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (*.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)))) (/.f32 #s(literal -1 binary32) v)))
(neg.f32 (*.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i v))))
(neg.f32 (*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal -1/2 binary32) v)))
(neg.f32 (*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 v #s(literal -1/2 binary32)) v))) cosTheta_i))
(neg.f32 (*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v)))
(neg.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (/.f32 v cosTheta_O)))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_O v)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)))))
(neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 v #s(literal -1/2 binary32)) v))))
(neg.f32 (/.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)))) (neg.f32 v)))
(neg.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i (/.f32 v #s(literal -1/2 binary32))))))
(neg.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v))))
(neg.f32 (/.f32 (neg.f32 cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_i v)) v))))
(neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 v (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(neg.f32 (/.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_i cosTheta_O)) v))
(neg.f32 (/.f32 (/.f32 cosTheta_i (-.f32 #s(literal 0 binary32) (/.f32 v cosTheta_O))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(pow.f32 (/.f32 v (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v))))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 v (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 cosTheta_O (/.f32 v (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 cosTheta_i (*.f32 (/.f32 v #s(literal 1/2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 v cosTheta_O) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1 binary32)))
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(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (/.f32 v cosTheta_i))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_i v))))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v))))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) cosTheta_i) (/.f32 v #s(literal 1/2 binary32)))
(*.f32 (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (/.f32 #s(literal -1 binary32) cosTheta_i) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)))
(*.f32 (/.f32 #s(literal -1 binary32) cosTheta_i) (/.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 -1 binary32) cosTheta_i) (*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1/2 binary32)) (-.f32 #s(literal 0 binary32) (/.f32 v cosTheta_i)))
(*.f32 (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) cosTheta_i) (/.f32 v #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32)) v)
(*.f32 (pow.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -1 binary32)) (/.f32 v #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 2 binary32) (/.f32 cosTheta_i v)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) #s(literal 1 binary32)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) cosTheta_i) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) cosTheta_i) #s(literal 1 binary32)) (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal -1/2 binary32) v)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (/.f32 v cosTheta_i))
(neg.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(exp.f32 (*.f32 (log.f32 (/.f32 v (/.f32 #s(literal 1/3 binary32) v))) #s(literal -1 binary32)))
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(pow.f32 (/.f32 v (/.f32 #s(literal 1/3 binary32) v)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))
(/.f32 #s(literal -1/3 binary32) (*.f32 v (neg.f32 v)))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 v v) #s(literal -1/3 binary32)))
(/.f32 (/.f32 #s(literal 1/3 binary32) v) v)
(/.f32 (/.f32 #s(literal -1/3 binary32) v) (neg.f32 v))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1/3 binary32) v))
(*.f32 #s(literal -1/3 binary32) (/.f32 (/.f32 #s(literal -1 binary32) v) v))
(*.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -1 binary32))
(*.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 v v)))
(*.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/3 binary32))
(*.f32 (/.f32 #s(literal 1/3 binary32) v) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal -1/3 binary32) v) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) v) #s(literal -1/3 binary32))

simplify348.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
5344×*-lowering-*.f32
5344×*-lowering-*.f64
2546×+-lowering-+.f64
2546×+-lowering-+.f32
1388×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03135014
19694689
230654550
375134550
081484550
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
(/ (* 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))))))
(* 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_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 cosTheta_i)
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))
(+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))
(+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))))
(* 1/2 cosTheta_i)
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4)))))
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (* 1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))))))
(* 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))))))
(* 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))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* cosTheta_O cosTheta_i))
(* 3 (* 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 cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* v (+ (* -18 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 3 (* cosTheta_O cosTheta_i))))
(* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* (pow v 2) (- (* 108 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 18 (* cosTheta_O cosTheta_i))))))
(* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* (pow v 2) (- (* (pow v 2) (- (* -648 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* -108 (* cosTheta_O cosTheta_i)))) (* 18 (* cosTheta_O cosTheta_i))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (- (+ (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/ (- (+ (* -1/432 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/432 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ cosTheta_O (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_O (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_O (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_O (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_O (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_O (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_O (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_O (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_O (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_O (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_O (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_O (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* 3 (* cosTheta_O (pow v 2)))
(* (pow v 2) (+ (* -18 (* cosTheta_O (pow v 2))) (* 3 cosTheta_O)))
(* (pow v 2) (+ (* 3 cosTheta_O) (* (pow v 2) (- (* 108 (* cosTheta_O (pow v 2))) (* 18 cosTheta_O)))))
(* (pow v 2) (+ (* 3 cosTheta_O) (* (pow v 2) (- (* (pow v 2) (- (* -648 (* cosTheta_O (pow v 2))) (* -108 cosTheta_O))) (* 18 cosTheta_O)))))
(* 1/2 cosTheta_O)
(+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))
(- (+ (* 1/72 (/ cosTheta_O (pow v 4))) (* 1/2 cosTheta_O)) (* 1/12 (/ cosTheta_O (pow v 2))))
(- (+ (* -1/432 (/ cosTheta_O (pow v 6))) (* 1/2 cosTheta_O)) (+ (* -1/72 (/ cosTheta_O (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))
(* 1/2 cosTheta_O)
(+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))
(- (+ (* 1/72 (/ cosTheta_O (pow v 4))) (* 1/2 cosTheta_O)) (* 1/12 (/ cosTheta_O (pow v 2))))
(- (+ (* -1/432 (/ cosTheta_O (pow v 6))) (* 1/2 cosTheta_O)) (+ (* -1/72 (/ cosTheta_O (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))
(/ 1/3 (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 2))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (* 1/3 (/ 1 (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 (pow v 2))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(* 3 (* cosTheta_O (* cosTheta_i v)))
(* v (+ (* -18 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 3 (* cosTheta_O cosTheta_i))))
(* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* (pow v 2) (- (* 108 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 18 (* cosTheta_O cosTheta_i))))))
(* v (+ (* 3 (* cosTheta_O cosTheta_i)) (* (pow v 2) (- (* (pow v 2) (- (* -648 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* -108 (* cosTheta_O cosTheta_i)))) (* 18 (* cosTheta_O cosTheta_i))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (- (+ (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)
(/ (- (+ (* -1/432 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/432 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ (* cosTheta_O cosTheta_i) (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))
(/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(/ cosTheta_i (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* 3 (* cosTheta_i (pow v 2)))
(* (pow v 2) (+ (* -18 (* cosTheta_i (pow v 2))) (* 3 cosTheta_i)))
(* (pow v 2) (+ (* 3 cosTheta_i) (* (pow v 2) (- (* 108 (* cosTheta_i (pow v 2))) (* 18 cosTheta_i)))))
(* (pow v 2) (+ (* 3 cosTheta_i) (* (pow v 2) (- (* (pow v 2) (- (* -648 (* cosTheta_i (pow v 2))) (* -108 cosTheta_i))) (* 18 cosTheta_i)))))
(* 1/2 cosTheta_i)
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))
(- (+ (* 1/72 (/ cosTheta_i (pow v 4))) (* 1/2 cosTheta_i)) (* 1/12 (/ cosTheta_i (pow v 2))))
(- (+ (* -1/432 (/ cosTheta_i (pow v 6))) (* 1/2 cosTheta_i)) (+ (* -1/72 (/ cosTheta_i (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))
(* 1/2 cosTheta_i)
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))
(- (+ (* 1/72 (/ cosTheta_i (pow v 4))) (* 1/2 cosTheta_i)) (* 1/12 (/ cosTheta_i (pow v 2))))
(- (+ (* -1/432 (/ cosTheta_i (pow v 6))) (* 1/2 cosTheta_i)) (+ (* -1/72 (/ cosTheta_i (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ cosTheta_i v)
(/ 1/3 (pow v 3))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 3))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 3))
(/ (+ 1/3 (* 2 (pow v 2))) (pow v 3))
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ 2 v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)
(/ (+ 2 (* 1/3 (/ 1 (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))))))
(* 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))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 cosTheta_i)
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))
(+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))
(+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))))
(* 1/2 cosTheta_i)
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/2 cosTheta_i) (* 1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4)))))
(+ (* -1/12 (/ cosTheta_i (pow v 2))) (+ (* 1/2 cosTheta_i) (+ (* 1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (* 1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ 2 cosTheta_i)
(+ (* 2 (/ 1 cosTheta_i)) (* 1/3 (/ 1 (* cosTheta_i (pow v 2)))))
(+ (/ 1/60 (* cosTheta_i (pow v 4))) (+ (/ 1/3 (* cosTheta_i (pow v 2))) (* 2 (/ 1 cosTheta_i))))
(+ (/ 1/3 (* cosTheta_i (pow v 2))) (+ (* 2 (/ 1 cosTheta_i)) (+ (* 1/60 (/ 1 (* cosTheta_i (pow v 4)))) (* 1/2520 (/ 1 (* cosTheta_i (pow v 6)))))))
(/ 2 cosTheta_i)
(+ (* 2 (/ 1 cosTheta_i)) (* 1/3 (/ 1 (* cosTheta_i (pow v 2)))))
(+ (/ 1/60 (* cosTheta_i (pow v 4))) (+ (/ 1/3 (* cosTheta_i (pow v 2))) (* 2 (/ 1 cosTheta_i))))
(+ (/ 1/3 (* cosTheta_i (pow v 2))) (+ (* 2 (/ 1 cosTheta_i)) (+ (* 1/60 (/ 1 (* cosTheta_i (pow v 4)))) (* 1/2520 (/ 1 (* cosTheta_i (pow v 6)))))))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/ 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))
Outputs
(/ (* 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))))
(/ (* 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))))
(/ (* 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))))
(/ (* 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 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v)
(/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (*.f32 cosTheta_O (+.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) (*.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.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)
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2
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2
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(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/432 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))
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(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) cosTheta_i)
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) cosTheta_i)
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))
(/ 1/3 (pow v 2))
(/.f32 #s(literal 1/3 binary32) (*.f32 v v))

eval145.0ms (0.8%)

Compiler

Compiled 28287 to 2782 computations (90.2% saved)

prune347.0ms (1.9%)

Pruning

98 alts after pruning (93 fresh and 5 done)

PrunedKeptTotal
New1674571731
Fresh263662
Picked235
Done022
Total1702981800
Accuracy
100.0%
Counts
1800 → 98
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.9%
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) (*.f32 cosTheta_i cosTheta_O))) v)
98.9%
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) cosTheta_i))
98.5%
(/.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))))
63.3%
(/.f32 (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 (/.f32 v cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
63.3%
(/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
98.6%
(/.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))))
63.3%
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v)))
56.0%
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
63.3%
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
63.3%
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
62.4%
(/.f32 (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 v (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
63.3%
(/.f32 (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 v (/.f32 cosTheta_O v)))
98.8%
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))
63.3%
(/.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
63.3%
(/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O))
63.3%
(/.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v))) (/.f32 v cosTheta_i))
98.9%
(/.f32 (/.f32 cosTheta_O (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_i))
63.3%
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
63.3%
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
63.3%
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
56.0%
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 v cosTheta_i))
✓63.3%
(/.f32 (/.f32 cosTheta_O (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i))
63.3%
(/.f32 (/.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
63.3%
(/.f32 (/.f32 cosTheta_O (*.f32 v (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))) (/.f32 #s(literal -1 binary32) cosTheta_i))
63.3%
(/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i))
57.7%
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 v cosTheta_i))
62.3%
(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_i)))
63.3%
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (-.f32 #s(literal 0 binary32) (/.f32 v cosTheta_O)))) (/.f32 v cosTheta_i))
98.6%
(/.f32 (*.f32 (pow.f32 (/.f32 (/.f32 v cosTheta_O) (/.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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))
98.4%
(/.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) cosTheta_O) v)
63.3%
(/.f32 (*.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) v)
57.9%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
63.3%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) (/.f32 v cosTheta_i))
52.6%
(/.f32 (*.f32 (*.f32 v v) (*.f32 cosTheta_O (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))) (/.f32 v cosTheta_i))
✓57.7%
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
57.7%
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
63.3%
(/.f32 (*.f32 v (/.f32 cosTheta_O (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
56.0%
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) v))
56.0%
(/.f32 (*.f32 cosTheta_O (*.f32 v (*.f32 v #s(literal 3 binary32)))) (/.f32 v cosTheta_i))
63.3%
(/.f32 (neg.f32 cosTheta_i) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (neg.f32 (/.f32 v (/.f32 cosTheta_O v)))))
91.0%
(/.f32 (exp.f32 (-.f32 (*.f32 (log.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
63.3%
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_i v)))
98.8%
(/.f32 cosTheta_O (/.f32 v (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))))
62.2%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v)) cosTheta_i))
62.2%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
62.2%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
62.2%
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))))
57.8%
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
62.2%
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))
63.3%
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v)
63.3%
(*.f32 (/.f32 (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i)) (/.f32 cosTheta_O v))
63.3%
(*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) v) (/.f32 cosTheta_O v))
69.6%
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.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 cosTheta_O v))
57.7%
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v))
98.3%
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O v))
63.3%
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) v))) (/.f32 cosTheta_O v))
63.3%
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) cosTheta_O)
63.3%
(*.f32 (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 (*.f32 v cosTheta_O) v))
98.4%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) cosTheta_O)
95.0%
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) #s(literal -1 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
56.0%
(*.f32 (/.f32 v #s(literal 1/3 binary32)) (*.f32 cosTheta_i cosTheta_O))
69.6%
(*.f32 (/.f32 cosTheta_i (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (*.f32 v v))) (*.f32 v v))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
98.7%
(*.f32 (/.f32 cosTheta_i (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1/2 binary32) v)) (cosh.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
✓99.0%
(*.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
98.8%
(*.f32 (/.f32 cosTheta_i (/.f32 v (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_O)
63.3%
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
57.7%
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
57.7%
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
63.3%
(*.f32 (/.f32 cosTheta_i (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_O)
98.9%
(*.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 cosTheta_O v)))
98.7%
(*.f32 (/.f32 cosTheta_i (exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32)))) (/.f32 cosTheta_O v))
57.7%
(*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 cosTheta_O v))
69.6%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (*.f32 v v))) (*.f32 v v))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 cosTheta_O v))
✓98.3%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 cosTheta_O v))
57.8%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 cosTheta_O v))
98.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 cosTheta_O v))
63.3%
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O)))
98.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O)))
57.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
✓57.7%
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
63.3%
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i v)) (/.f32 (/.f32 v (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) (/.f32 v cosTheta_O)))
98.6%
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v))
98.6%
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_O v))
56.0%
(*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) v)
52.6%
(*.f32 (*.f32 v (*.f32 v (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v)))))) (/.f32 cosTheta_O v))
56.0%
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
56.0%
(*.f32 (*.f32 cosTheta_i (*.f32 #s(literal 3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v))
98.9%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
56.0%
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
56.0%
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
63.3%
(*.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i)))
97.1%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O)) #s(literal -1 binary32))) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
52.7%
(*.f32 v (+.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -18 binary32)) (*.f32 v v)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32))))
52.6%
(*.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))))
63.3%
(*.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (/.f32 cosTheta_O v))))
63.3%
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
98.9%
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
98.8%
(*.f32 cosTheta_O (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Compiler

Compiled 4747 to 1967 computations (58.6% saved)

regimes361.0ms (2%)

Counts
165 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
(*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(*.f32 (/.f32 v #s(literal 1/3 binary32)) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 v cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 cosTheta_i (*.f32 #s(literal 3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O (*.f32 v (*.f32 v #s(literal 3 binary32)))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
(*.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) cosTheta_O)
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (*.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O))
(/.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) v)
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O)))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.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 cosTheta_i (/.f32 v cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v)) cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (*.f32 v (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))) (/.f32 #s(literal -1 binary32) cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/3 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i)))
(*.f32 v (+.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -18 binary32)) (*.f32 v v)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32))))
(*.f32 (*.f32 v (*.f32 v (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v)))))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 (*.f32 v cosTheta_O) v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) v) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v)
(/.f32 (*.f32 v (/.f32 cosTheta_O (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (*.f32 v v) (*.f32 cosTheta_O (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 v (/.f32 cosTheta_O v)))
(/.f32 (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 v (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v)))
(*.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (/.f32 cosTheta_O v))))
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i v)) (/.f32 (/.f32 v (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) (/.f32 v cosTheta_O)))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) v))) (/.f32 cosTheta_O v))
(/.f32 (neg.f32 cosTheta_i) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (neg.f32 (/.f32 v (/.f32 cosTheta_O 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)
(/.f32 (/.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 (/.f32 v cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (-.f32 #s(literal 0 binary32) (/.f32 v cosTheta_O)))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.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 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (*.f32 v v))) (*.f32 v v))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (*.f32 v v))) (*.f32 v v))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 cosTheta_O v))
(/.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 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 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
(*.f32 cosTheta_O (*.f32 (/.f32 cosTheta_i v) (/.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 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (*.f32 v (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_O v))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (/.f32 cosTheta_O v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O)))
(*.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 cosTheta_O v)))
(*.f32 (/.f32 cosTheta_i (/.f32 v (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i)
(/.f32 cosTheta_O (/.f32 v (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)))))
(/.f32 cosTheta_i (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 cosTheta_O v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (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)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 v cosTheta_i))
(/.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 (neg.f32 cosTheta_i) (/.f32 (/.f32 v cosTheta_O) (/.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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) cosTheta_O)
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) cosTheta_i)) (/.f32 cosTheta_O 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 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) cosTheta_i))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 cosTheta_O v))
(/.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 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32)) (*.f32 cosTheta_i cosTheta_O))) v)
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O 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))))
(/.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 (/.f32 (/.f32 cosTheta_i v) (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_i v))
(*.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 cosTheta_i (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1/2 binary32) v)) (cosh.f32 (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)))
(*.f32 (/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 cosTheta_O (/.f32 v (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))))
(/.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 (*.f32 sinTheta_i sinTheta_O) v)))) v)
(/.f32 (*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i)) cosTheta_O) v)
(/.f32 (/.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i v))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) 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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i (/.f32 v cosTheta_O))))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_O v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O))
(/.f32 (/.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (/.f32 v cosTheta_i) (/.f32 #s(literal 1/2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) 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))))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (*.f32 cosTheta_O (/.f32 #s(literal -1/2 binary32) v)) (*.f32 (neg.f32 v) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(/.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))
(*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (/.f32 (/.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))))))
(*.f32 (/.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 v cosTheta_i)) (/.f32 (/.f32 #s(literal 1 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (/.f32 cosTheta_O (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 cosTheta_i v))) (/.f32 v #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) 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 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) (/.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))))) (/.f32 cosTheta_O v))
(/.f32 (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)))) v)
(*.f32 (/.f32 cosTheta_i (exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32)))) (/.f32 cosTheta_O v))
(/.f32 (exp.f32 (-.f32 (*.f32 (log.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (*.f32 (pow.f32 (/.f32 (/.f32 v cosTheta_O) (/.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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))
(*.f32 (/.f32 (/.f32 cosTheta_i (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v)) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) v)))) (/.f32 cosTheta_O v))
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_O)) #s(literal -1 binary32))) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (exp.f32 (/.f32 sinTheta_i (/.f32 v sinTheta_O))) cosTheta_i)) #s(literal -1 binary32))) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
(/.f32 (/.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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) v)
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) 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 (*.f32 (pow.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (/.f32 #s(literal 1/2 binary32) v)) #s(literal -1 binary32)) (pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal -1 binary32))) v)
(/.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))))
Outputs
(*.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
Calls

8 calls:

46.0ms
sinTheta_i
45.0ms
v
45.0ms
cosTheta_i
44.0ms
(*.f32 cosTheta_i cosTheta_O)
44.0ms
cosTheta_O
Results
AccuracySegmentsBranch
99.0%1cosTheta_i
99.0%1cosTheta_O
99.0%1sinTheta_i
99.0%1sinTheta_O
99.0%1v
99.0%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))
99.0%1(*.f32 sinTheta_i sinTheta_O)
99.0%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes183.0ms (1%)

Counts
99 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
(*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(*.f32 (/.f32 v #s(literal 1/3 binary32)) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 v cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 cosTheta_i (*.f32 #s(literal 3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O (*.f32 v (*.f32 v #s(literal 3 binary32)))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
(*.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) cosTheta_O)
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (*.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O))
(/.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) v)
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O)))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.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 cosTheta_i (/.f32 v cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v)) cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (*.f32 v (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))) (/.f32 #s(literal -1 binary32) cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/3 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i)))
(*.f32 v (+.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -18 binary32)) (*.f32 v v)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32))))
(*.f32 (*.f32 v (*.f32 v (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v)))))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 (*.f32 v cosTheta_O) v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) v) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v)
(/.f32 (*.f32 v (/.f32 cosTheta_O (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (*.f32 v v) (*.f32 cosTheta_O (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 v (/.f32 cosTheta_O v)))
(/.f32 (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 v (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v)))
(*.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (/.f32 cosTheta_O v))))
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i v)) (/.f32 (/.f32 v (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) (/.f32 v cosTheta_O)))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) v))) (/.f32 cosTheta_O v))
(/.f32 (neg.f32 cosTheta_i) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (neg.f32 (/.f32 v (/.f32 cosTheta_O 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)
(/.f32 (/.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 (/.f32 v cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (-.f32 #s(literal 0 binary32) (/.f32 v cosTheta_O)))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.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 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (*.f32 v v))) (*.f32 v v))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (*.f32 v v))) (*.f32 v v))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 cosTheta_O v))
(/.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 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 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
(*.f32 cosTheta_O (*.f32 (/.f32 cosTheta_i v) (/.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 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (*.f32 v (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_O v))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (/.f32 cosTheta_O v))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_O)))
(*.f32 (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 cosTheta_O v)))
(*.f32 (/.f32 cosTheta_i (/.f32 v (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_O)
Outputs
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (/.f32 cosTheta_O v))
Calls

6 calls:

35.0ms
sinTheta_O
31.0ms
cosTheta_O
27.0ms
sinTheta_i
26.0ms
v
25.0ms
cosTheta_i
Results
AccuracySegmentsBranch
98.9%1sinTheta_i
98.9%1sinTheta_O
98.9%1cosTheta_i
98.9%1cosTheta_O
98.9%1v
98.9%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes162.0ms (0.9%)

Counts
95 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
(*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(*.f32 (/.f32 v #s(literal 1/3 binary32)) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 v cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 cosTheta_i (*.f32 #s(literal 3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O (*.f32 v (*.f32 v #s(literal 3 binary32)))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
(*.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) cosTheta_O)
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (*.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O))
(/.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) v)
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O)))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.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 cosTheta_i (/.f32 v cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v)) cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (*.f32 v (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))) (/.f32 #s(literal -1 binary32) cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/3 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i)))
(*.f32 v (+.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -18 binary32)) (*.f32 v v)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32))))
(*.f32 (*.f32 v (*.f32 v (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v)))))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 (*.f32 v cosTheta_O) v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) v) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v)
(/.f32 (*.f32 v (/.f32 cosTheta_O (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (*.f32 v v) (*.f32 cosTheta_O (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 v (/.f32 cosTheta_O v)))
(/.f32 (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 v (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v)))
(*.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (/.f32 cosTheta_O v))))
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i v)) (/.f32 (/.f32 v (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) (/.f32 v cosTheta_O)))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) v))) (/.f32 cosTheta_O v))
(/.f32 (neg.f32 cosTheta_i) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (neg.f32 (/.f32 v (/.f32 cosTheta_O 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)
(/.f32 (/.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 (/.f32 v cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (-.f32 #s(literal 0 binary32) (/.f32 v cosTheta_O)))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.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 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (*.f32 v v))) (*.f32 v v))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (*.f32 v v))) (*.f32 v v))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 cosTheta_O v))
(/.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 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 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
(*.f32 cosTheta_O (*.f32 (/.f32 cosTheta_i v) (/.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 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (*.f32 v (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_O 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:

27.0ms
sinTheta_i
25.0ms
sinTheta_O
25.0ms
v
25.0ms
cosTheta_i
25.0ms
cosTheta_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 cosTheta_i cosTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes164.0ms (0.9%)

Counts
92 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
(*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(*.f32 (/.f32 v #s(literal 1/3 binary32)) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 v cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 cosTheta_i (*.f32 #s(literal 3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O (*.f32 v (*.f32 v #s(literal 3 binary32)))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
(*.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) cosTheta_O)
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (*.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O))
(/.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) v)
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O)))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.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 cosTheta_i (/.f32 v cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v)) cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (*.f32 v (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))) (/.f32 #s(literal -1 binary32) cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/3 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i)))
(*.f32 v (+.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -18 binary32)) (*.f32 v v)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32))))
(*.f32 (*.f32 v (*.f32 v (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v)))))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 (*.f32 v cosTheta_O) v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) v) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v)
(/.f32 (*.f32 v (/.f32 cosTheta_O (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (*.f32 v v) (*.f32 cosTheta_O (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 v (/.f32 cosTheta_O v)))
(/.f32 (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 v (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v)))
(*.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (/.f32 cosTheta_O v))))
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i v)) (/.f32 (/.f32 v (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) (/.f32 v cosTheta_O)))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) v))) (/.f32 cosTheta_O v))
(/.f32 (neg.f32 cosTheta_i) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (neg.f32 (/.f32 v (/.f32 cosTheta_O 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)
(/.f32 (/.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 (/.f32 v cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (-.f32 #s(literal 0 binary32) (/.f32 v cosTheta_O)))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.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 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (*.f32 v v))) (*.f32 v v))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (*.f32 v v))) (*.f32 v v))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 cosTheta_O v))
(/.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 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 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
(*.f32 cosTheta_O (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Outputs
(*.f32 cosTheta_O (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Calls

6 calls:

30.0ms
cosTheta_i
25.0ms
v
25.0ms
sinTheta_O
25.0ms
sinTheta_i
24.0ms
cosTheta_O
Results
AccuracySegmentsBranch
98.8%1cosTheta_O
98.8%1cosTheta_i
98.8%1sinTheta_i
98.8%1sinTheta_O
98.8%1v
98.8%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes156.0ms (0.8%)

Counts
91 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
(*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(*.f32 (/.f32 v #s(literal 1/3 binary32)) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 v cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 cosTheta_i (*.f32 #s(literal 3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O (*.f32 v (*.f32 v #s(literal 3 binary32)))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
(*.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) cosTheta_O)
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (*.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O))
(/.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) v)
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O)))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.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 cosTheta_i (/.f32 v cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v)) cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (*.f32 v (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))) (/.f32 #s(literal -1 binary32) cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/3 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i)))
(*.f32 v (+.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -18 binary32)) (*.f32 v v)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32))))
(*.f32 (*.f32 v (*.f32 v (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v)))))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 (*.f32 v cosTheta_O) v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) v) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v)
(/.f32 (*.f32 v (/.f32 cosTheta_O (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (*.f32 v v) (*.f32 cosTheta_O (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 v (/.f32 cosTheta_O v)))
(/.f32 (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 v (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v)))
(*.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (/.f32 cosTheta_O v))))
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i v)) (/.f32 (/.f32 v (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) (/.f32 v cosTheta_O)))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) v))) (/.f32 cosTheta_O v))
(/.f32 (neg.f32 cosTheta_i) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (neg.f32 (/.f32 v (/.f32 cosTheta_O 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)
(/.f32 (/.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 (/.f32 v cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (-.f32 #s(literal 0 binary32) (/.f32 v cosTheta_O)))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.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 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (*.f32 v v))) (*.f32 v v))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (*.f32 v v))) (*.f32 v v))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v)) cosTheta_i)) (/.f32 cosTheta_O v))
(/.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 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 (/.f32 #s(literal 1 binary32) v) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32)))
Outputs
(*.f32 (/.f32 cosTheta_i (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (*.f32 v v))) (*.f32 v v))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
Calls

6 calls:

26.0ms
cosTheta_i
26.0ms
sinTheta_i
26.0ms
v
24.0ms
cosTheta_O
24.0ms
sinTheta_O
Results
AccuracySegmentsBranch
69.6%1sinTheta_O
69.6%1cosTheta_i
69.6%1cosTheta_O
69.6%1sinTheta_i
69.6%1v
69.6%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes154.0ms (0.8%)

Counts
86 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
(*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(*.f32 (/.f32 v #s(literal 1/3 binary32)) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 v cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 cosTheta_i (*.f32 #s(literal 3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O (*.f32 v (*.f32 v #s(literal 3 binary32)))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
(*.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) cosTheta_O)
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (*.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O))
(/.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) v)
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O)))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.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 cosTheta_i (/.f32 v cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v)) cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (*.f32 v (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))) (/.f32 #s(literal -1 binary32) cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/3 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i)))
(*.f32 v (+.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -18 binary32)) (*.f32 v v)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32))))
(*.f32 (*.f32 v (*.f32 v (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v)))))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 (*.f32 v cosTheta_O) v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) v) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v)
(/.f32 (*.f32 v (/.f32 cosTheta_O (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (*.f32 v v) (*.f32 cosTheta_O (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 v (/.f32 cosTheta_O v)))
(/.f32 (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 v (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v)))
(*.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (/.f32 cosTheta_O v))))
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i v)) (/.f32 (/.f32 v (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) (/.f32 v cosTheta_O)))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) v))) (/.f32 cosTheta_O v))
(/.f32 (neg.f32 cosTheta_i) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (neg.f32 (/.f32 v (/.f32 cosTheta_O 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)
(/.f32 (/.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 (/.f32 v cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (-.f32 #s(literal 0 binary32) (/.f32 v cosTheta_O)))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.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 cosTheta_O v))
Outputs
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.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 cosTheta_O v))
Calls

6 calls:

25.0ms
(*.f32 cosTheta_i cosTheta_O)
25.0ms
sinTheta_O
23.0ms
sinTheta_i
23.0ms
cosTheta_i
23.0ms
v
Results
AccuracySegmentsBranch
69.6%1cosTheta_O
69.6%1v
69.6%1(*.f32 cosTheta_i cosTheta_O)
69.6%1cosTheta_i
69.6%1sinTheta_i
69.6%1sinTheta_O
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes141.0ms (0.8%)

Counts
85 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
(*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(*.f32 (/.f32 v #s(literal 1/3 binary32)) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 v cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 cosTheta_i (*.f32 #s(literal 3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O (*.f32 v (*.f32 v #s(literal 3 binary32)))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
(*.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) cosTheta_O)
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (*.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O))
(/.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) v)
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O)))
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (/.f32 v cosTheta_i) cosTheta_O) (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.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 cosTheta_i (/.f32 v cosTheta_O))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v)) cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (*.f32 v (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32)))) (/.f32 #s(literal -1 binary32) cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/3 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 v (/.f32 #s(literal 1/3 binary32) v)))))
(/.f32 (/.f32 (/.f32 cosTheta_O v) (/.f32 #s(literal 1 binary32) cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(*.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i)))
(*.f32 v (+.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -18 binary32)) (*.f32 v v)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32))))
(*.f32 (*.f32 v (*.f32 v (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v)))))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 (*.f32 v cosTheta_O) v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) v) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v)
(/.f32 (*.f32 v (/.f32 cosTheta_O (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (*.f32 v v) (*.f32 cosTheta_O (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 v (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)) (/.f32 v (/.f32 cosTheta_O v)))
(/.f32 (/.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 v (/.f32 (/.f32 v cosTheta_i) cosTheta_O)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 2 binary32) (*.f32 v v))) (*.f32 v v)))
(*.f32 cosTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (/.f32 cosTheta_O v))))
(*.f32 (-.f32 #s(literal 0 binary32) (/.f32 cosTheta_i v)) (/.f32 (/.f32 v (+.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal -2 binary32))) (/.f32 v cosTheta_O)))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 (/.f32 #s(literal 2 binary32) v) (/.f32 (/.f32 #s(literal -1/3 binary32) (*.f32 v v)) v))) (/.f32 cosTheta_O v))
(/.f32 (neg.f32 cosTheta_i) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (neg.f32 (/.f32 v (/.f32 cosTheta_O 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)
(/.f32 (/.f32 cosTheta_O (*.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (/.f32 cosTheta_i v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) (*.f32 (/.f32 v cosTheta_O) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v) (-.f32 #s(literal 0 binary32) (/.f32 v cosTheta_O)))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O)))
Calls

6 calls:

24.0ms
sinTheta_i
24.0ms
v
23.0ms
sinTheta_O
23.0ms
cosTheta_O
23.0ms
cosTheta_i
Results
AccuracySegmentsBranch
63.3%1cosTheta_O
63.3%1v
63.3%1(*.f32 cosTheta_i cosTheta_O)
63.3%1cosTheta_i
63.3%1sinTheta_O
63.3%1sinTheta_i
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes89.0ms (0.5%)

Counts
44 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
(*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(*.f32 (/.f32 v #s(literal 1/3 binary32)) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 v cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 cosTheta_i (*.f32 #s(literal 3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O (*.f32 v (*.f32 v #s(literal 3 binary32)))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
(*.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) cosTheta_O)
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (*.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) v)
(/.f32 (/.f32 cosTheta_O v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_i))
(/.f32 (/.f32 cosTheta_O (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 cosTheta_O (/.f32 v cosTheta_i)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 cosTheta_i v) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O))
(/.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 v cosTheta_O))
(/.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (+.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(literal 1/3 binary32) v) v)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) v)
Outputs
(/.f32 (*.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) v)
Calls

6 calls:

16.0ms
(*.f32 cosTheta_i cosTheta_O)
15.0ms
sinTheta_i
13.0ms
cosTheta_O
12.0ms
sinTheta_O
12.0ms
cosTheta_i
Results
AccuracySegmentsBranch
63.3%1sinTheta_O
63.3%1(*.f32 cosTheta_i cosTheta_O)
63.3%1cosTheta_i
63.3%1sinTheta_i
63.3%1cosTheta_O
63.3%1v
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes70.0ms (0.4%)

Counts
34 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
(*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(*.f32 (/.f32 v #s(literal 1/3 binary32)) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 v cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 cosTheta_i (*.f32 #s(literal 3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O (*.f32 v (*.f32 v #s(literal 3 binary32)))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
(*.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) cosTheta_O)
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
Outputs
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_i v)))
Calls

6 calls:

15.0ms
cosTheta_O
14.0ms
(*.f32 cosTheta_i cosTheta_O)
10.0ms
sinTheta_O
9.0ms
sinTheta_i
9.0ms
cosTheta_i
Results
AccuracySegmentsBranch
63.3%1sinTheta_O
63.3%1(*.f32 cosTheta_i cosTheta_O)
63.3%1cosTheta_i
63.3%1cosTheta_O
63.3%1v
63.3%1sinTheta_i
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes81.0ms (0.4%)

Counts
31 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
(*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(*.f32 (/.f32 v #s(literal 1/3 binary32)) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 v cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 cosTheta_i (*.f32 #s(literal 3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O (*.f32 v (*.f32 v #s(literal 3 binary32)))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
(*.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) cosTheta_O)
Outputs
(*.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 cosTheta_O v))
Calls

6 calls:

31.0ms
cosTheta_O
13.0ms
(*.f32 cosTheta_i cosTheta_O)
9.0ms
sinTheta_i
9.0ms
cosTheta_i
9.0ms
v
Results
AccuracySegmentsBranch
63.3%1sinTheta_O
63.3%1(*.f32 cosTheta_i cosTheta_O)
63.3%1cosTheta_i
63.3%1v
63.3%1cosTheta_O
63.3%1sinTheta_i
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes60.0ms (0.3%)

Counts
29 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
(*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(*.f32 (/.f32 v #s(literal 1/3 binary32)) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 v cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 cosTheta_i (*.f32 #s(literal 3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O (*.f32 v (*.f32 v #s(literal 3 binary32)))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
(*.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -18 binary32) (*.f32 v v))))))
(*.f32 (/.f32 cosTheta_O (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i (*.f32 v (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))) cosTheta_O)
Outputs
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
Calls

6 calls:

13.0ms
v
13.0ms
cosTheta_O
8.0ms
sinTheta_i
8.0ms
sinTheta_O
8.0ms
cosTheta_i
Results
AccuracySegmentsBranch
63.3%1sinTheta_O
63.3%1cosTheta_O
63.3%1cosTheta_i
63.3%1(*.f32 cosTheta_i cosTheta_O)
63.3%1sinTheta_i
63.3%1v
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes74.0ms (0.4%)

Counts
25 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
(*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(*.f32 (/.f32 v #s(literal 1/3 binary32)) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 v cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 cosTheta_i (*.f32 #s(literal 3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O (*.f32 v (*.f32 v #s(literal 3 binary32)))) (/.f32 v cosTheta_i))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 v cosTheta_i))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
Outputs
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
Calls

6 calls:

34.0ms
sinTheta_i
11.0ms
sinTheta_O
7.0ms
cosTheta_i
7.0ms
v
7.0ms
cosTheta_O
Results
AccuracySegmentsBranch
57.9%1cosTheta_O
57.9%1sinTheta_O
57.9%1(*.f32 cosTheta_i cosTheta_O)
57.9%1cosTheta_i
57.9%1v
57.9%1sinTheta_i
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes43.0ms (0.2%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
(*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(*.f32 (/.f32 v #s(literal 1/3 binary32)) (*.f32 cosTheta_i cosTheta_O))
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (/.f32 v cosTheta_i))
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_O (/.f32 #s(literal 1 binary32) cosTheta_i)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) cosTheta_i)) (/.f32 cosTheta_O v))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 cosTheta_i (*.f32 #s(literal 3 binary32) (*.f32 v v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.f32 #s(literal 2 binary32) v)) (/.f32 cosTheta_O v))
(/.f32 (*.f32 cosTheta_O (*.f32 v (*.f32 v #s(literal 3 binary32)))) (/.f32 v cosTheta_i))
Outputs
(/.f32 #s(literal 1/2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
Calls

6 calls:

9.0ms
sinTheta_O
8.0ms
cosTheta_O
7.0ms
sinTheta_i
6.0ms
cosTheta_i
6.0ms
v
Results
AccuracySegmentsBranch
57.8%1v
57.8%1cosTheta_i
57.8%1cosTheta_O
57.8%1sinTheta_i
57.8%1sinTheta_O
57.8%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes27.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
(*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) v)
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (/.f32 cosTheta_O (/.f32 v #s(literal 1/2 binary32))) cosTheta_i)
(*.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_i (/.f32 v #s(literal 1/2 binary32))) cosTheta_O)
(*.f32 (/.f32 cosTheta_i (/.f32 v cosTheta_O)) #s(literal 1/2 binary32))
(*.f32 (/.f32 v #s(literal 1/3 binary32)) (*.f32 cosTheta_i cosTheta_O))
Outputs
(*.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 cosTheta_i cosTheta_O))
Calls

6 calls:

5.0ms
sinTheta_i
4.0ms
sinTheta_O
4.0ms
cosTheta_i
4.0ms
v
4.0ms
cosTheta_O
Results
AccuracySegmentsBranch
57.7%1cosTheta_i
57.7%1sinTheta_i
57.7%1sinTheta_O
57.7%1cosTheta_O
57.7%1v
57.7%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes14.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 3 binary32)) v)
(*.f32 (*.f32 (*.f32 cosTheta_i #s(literal 3 binary32)) cosTheta_O) v)
Outputs
(*.f32 (*.f32 cosTheta_i (*.f32 v cosTheta_O)) #s(literal 3 binary32))
Calls

5 calls:

3.0ms
cosTheta_O
2.0ms
sinTheta_i
2.0ms
sinTheta_O
2.0ms
v
2.0ms
cosTheta_i
Results
AccuracySegmentsBranch
56.0%1cosTheta_i
56.0%1cosTheta_O
56.0%1sinTheta_O
56.0%1sinTheta_i
56.0%1v
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes8.0ms (0%)

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

5 calls:

2.0ms
v
2.0ms
sinTheta_O
2.0ms
cosTheta_i
2.0ms
cosTheta_O
2.0ms
sinTheta_i
Results
AccuracySegmentsBranch
56.0%1cosTheta_O
56.0%1cosTheta_i
56.0%1v
56.0%1sinTheta_i
56.0%1sinTheta_O
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes8.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

3.0ms
sinTheta_i
1.0ms
sinTheta_O
1.0ms
v
1.0ms
cosTheta_i
1.0ms
cosTheta_O
Results
AccuracySegmentsBranch
56.0%1v
56.0%1sinTheta_i
56.0%1sinTheta_O
56.0%1cosTheta_O
56.0%1cosTheta_i
Compiler

Compiled 30 to 25 computations (16.7% saved)

simplify103.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
712×distribute-lft-neg-in_binary32
498×unsub-neg_binary32
470×neg-mul-1_binary32
368×neg-sub0_binary32
260×sub-neg_binary32
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
081220
1126219
2153219
3197218
4274218
5359218
6457218
7649218
8960218
91323217
101718217
112024217
122235217
132328217
142363217
152365217
162365217
172367217
182367217
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (/.f32 cosTheta_O 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 cosTheta_O (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 cosTheta_i (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (*.f32 v v))) (*.f32 v v))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.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 cosTheta_O v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O)))
(/.f32 (*.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) v)
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_i v)))
(*.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
(/.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 (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))
Outputs
(*.f32 (/.f32 cosTheta_i (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i (/.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 cosTheta_O (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_O (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)))
(*.f32 (/.f32 cosTheta_i (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (*.f32 v v))) (*.f32 v v))) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) v))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal -1/120 binary32) (*.f32 v v))) (*.f32 v v))) v) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (/.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 cosTheta_O v))
(*.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i v) (/.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 #s(literal 1 binary32) v) (/.f32 cosTheta_i (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) cosTheta_O)))
(/.f32 (*.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) cosTheta_O) v)
(/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) v)
(/.f32 cosTheta_O (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) (/.f32 cosTheta_i v)))
(*.f32 (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))) (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta_i) cosTheta_O)) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) cosTheta_i) cosTheta_O))) v)
(/.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 (*.f32 v cosTheta_O)) #s(literal 3 binary32))
(*.f32 (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))) cosTheta_i)
(*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 v #s(literal 1/3 binary32))))
(*.f32 (*.f32 cosTheta_O #s(literal 3 binary32)) (*.f32 cosTheta_i v))

soundness3.7s (20.2%)

Rules
7370×*-lowering-*.f32
7370×*-lowering-*.f64
6548×*-lowering-*.f32
6548×*-lowering-*.f64
5522×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01855
17455
249055
3612255
0810255
037195
1197191
21712191
37168191
08017191
07819826
127909093
090689093
01921
15621
218719
377519
4308319
5382919
6591019
0913119
03135014
19694689
230654550
375134550
081484550
090814407
1344813519
0858713519
041192
1201180
21711179
37037179
08244179
034147
1177145
21362141
36865141
08030141
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 1515 to 1017 computations (32.9% saved)

preprocess803.0ms (4.4%)

Remove

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 2892 to 1964 computations (32.1% saved)

end0.0ms (0%)

Profiling

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