HairBSDF, Mp, upper

Time bar (total: 18.5s)

analyze671.0ms (3.6%)

Memory
36.7MiB live, 1 090.5MiB allocated
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 62 to 42 computations (32.3% saved)

sample2.7s (14.5%)

Memory
-93.1MiB live, 3 451.0MiB allocated
Samples
2.0s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-<=: 472.0ms (27.7% of total)
const: 314.0ms (18.4% of total)
ival-div: 313.0ms (18.4% of total)
ival-mult: 299.0ms (17.6% of total)
ival-neg: 76.0ms (4.5% of total)
ival-sinh: 72.0ms (4.2% of total)
ival-exp: 67.0ms (3.9% of total)
ival-and: 51.0ms (3% of total)
ival-<: 20.0ms (1.2% of total)
exact: 15.0ms (0.9% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess262.0ms (1.4%)

Memory
-7.5MiB live, 411.1MiB allocated
Algorithm
1×egg-herbie
Rules
6 182×lower-*.f64
6 172×lower-*.f32
2 208×lower-fma.f64
2 208×lower-fma.f32
2 152×lower-neg.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0139465
1535441
22083420
01922
03122
16722
219721
377921
4304221
5371421
6545421
0826321
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.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))
Outputs
(/.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 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v (*.f32 v #s(literal 2 binary32))) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
Symmetry

(negabs cosTheta_O)

(negabs cosTheta_i)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

explain230.0ms (1.2%)

Memory
13.3MiB live, 364.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f32 #s(literal 1 binary32) v)
00-0-#s(literal 2 binary32)
00-0-(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
00-0-sinTheta_i
00-0-cosTheta_i
00-0-v
00-0-(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
00-0-sinTheta_O
00-0-(*.f32 sinTheta_i sinTheta_O)
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 (*.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 cosTheta_i cosTheta_O)
00-0-(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
00-0-(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
00-0-cosTheta_O
00-0-(sinh.f32 (/.f32 #s(literal 1 binary32) v))
03(3.7176078262495447e-29 0.1769331991672516 -3.236391130472514e-16 1.5766328324754218e-30 0.329357773065567)0-(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
05(4.231335695733496e-35 3.5179465677354083e-12 -1.147002978707512e-10 4.217697622328665e-37 0.13672636449337006)0-(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f32(/.f32 (*.f32 cosTheta_i cosTheta_O) v)u/n50
↳(*.f32 cosTheta_i cosTheta_O)underflow86
/.f32(/.f32 (*.f32 sinTheta_i sinTheta_O) v)u/n30
↳(*.f32 sinTheta_i sinTheta_O)underflow93
Confusion
Predicted +Predicted -
+00
-8248
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-80248
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0248
18
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
71.0ms512×0valid
Compiler

Compiled 242 to 80 computations (66.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 16.0ms (32.4% of total)
ival-div: 14.0ms (28.4% of total)
ival-sinh: 12.0ms (24.3% of total)
ival-exp: 4.0ms (8.1% of total)
ival-neg: 2.0ms (4.1% of total)
exact: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(/.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))
Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify192.0ms (1%)

Memory
5.3MiB live, 353.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
✓cost-diff0
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓cost-diff64
(*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
✓cost-diff192
(/.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))
Rules
6 182×lower-*.f64
6 172×lower-*.f32
2 208×lower-fma.f64
2 208×lower-fma.f32
2 152×lower-neg.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01992
03192
16792
219790
377990
4304290
5371490
6545490
0826390
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.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 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
Outputs
(/.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 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v (*.f32 v #s(literal 2 binary32))) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v))))))
(*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i v)))))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)

localize52.0ms (0.3%)

Memory
-15.4MiB live, 103.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy99.1%
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
✓accuracy99.1%
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
✓accuracy97.2%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Samples
33.0ms256×0valid
Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 8.0ms (39.4% of total)
ival-div: 6.0ms (29.6% of total)
ival-exp: 2.0ms (9.9% of total)
ival-sinh: 2.0ms (9.9% of total)
ival-neg: 1.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series51.0ms (0.3%)

Memory
33.7MiB live, 109.8MiB allocated
Counts
8 → 288
Calls
Call 1
Inputs
#<alt (/.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))>
#<alt (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))>
#<alt (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))>
#<alt (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))>
#<alt (sinh.f32 (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (*.f32 cosTheta_i cosTheta_O) v)>
#<alt (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)>
#<alt (/.f32 (*.f32 sinTheta_i sinTheta_O) v)>
Outputs
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (neg (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (/ (* cosTheta_O cosTheta_i) v)>
#<alt (* 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))))))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
Calls

72 calls:

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

simplify378.0ms (2%)

Memory
0.5MiB live, 621.5MiB allocated
Algorithm
1×egg-herbie
Rules
10 374×lower-fma.f64
10 374×lower-fma.f32
5 366×lower-*.f64
5 366×lower-*.f32
3 038×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03344121
110404000
238273767
370033766
080493724
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(/ (* 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)))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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1
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1
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1
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(/ (+ 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))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_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))))))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
Outputs
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_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 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (*.f32 v v)) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (*.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (*.f32 v v)) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (*.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32)))) (*.f32 sinTheta_i sinTheta_i) (*.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (*.f32 v v)) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_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 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (*.f32 v v)) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) sinTheta_O)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (*.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (*.f32 v v)) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 sinTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))) #s(literal -1/6 binary32) (*.f32 (/.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))) (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32)))) (*.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (*.f32 v v)) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 (*.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 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 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)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (*.f32 v v))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v (*.f32 v v))) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (neg.f32 sinTheta_i))))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32))) (*.f32 v v))) (*.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 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 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(neg.f32 (/.f32 (*.f32 cosTheta_O (fma.f32 cosTheta_i #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal 1/2 binary32)))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (fma.f32 cosTheta_O (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) #s(literal -1/2 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (neg.f32 sinTheta_i)))))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ (* cosTheta_O cosTheta_i) 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 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v)
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
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(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))))))) (/ (* cosTheta_O cosTheta_i) v))
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(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
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(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
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(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
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(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 cosTheta_O (fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (/.f32 cosTheta_i (*.f32 v (*.f32 v v)))) #s(literal -1/6 binary32) cosTheta_i) (/.f32 (*.f32 cosTheta_O (fma.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))))) v)) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(/.f32 (*.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) cosTheta_i)) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (*.f32 cosTheta_O (fma.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))))) v)) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
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1
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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.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))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) (/.f32 (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/5040 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32)))) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* 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 #s(literal 1/3 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 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 #s(literal 1/3 binary32) (*.f32 v v)) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 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)

rewrite235.0ms (1.3%)

Memory
-0.5MiB live, 325.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 816×lower-*.f64
4 806×lower-*.f32
3 750×lower-/.f64
3 742×lower-/.f32
1 524×frac-times
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01970
03170
18968
252868
3682568
0806568
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 806
Calls
Call 1
Inputs
(/.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 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
Outputs
(neg.f32 (/.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))))))
(neg.f32 (*.f32 #s(literal 1 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)))))))
(neg.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 #s(literal -1 binary32) v)))
(neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_i cosTheta_O)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))))
(exp.f32 (*.f32 (+.f32 (log.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal -1 binary32)))
(pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_i cosTheta_O)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) #s(literal -1 binary32))
(pow.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))) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 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 #s(literal 0 binary32) (*.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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (neg.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.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 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_i cosTheta_O) (*.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 v v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))) (neg.f32 (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
(/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.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 (*.f32 cosTheta_i cosTheta_O) (*.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 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 v v) (*.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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (*.f32 cosTheta_i cosTheta_O)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (/.f32 (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 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 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.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))) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.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 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (neg.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 v (*.f32 cosTheta_i (neg.f32 cosTheta_O)))))
(/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))))
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(*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (*.f32 (pow.f32 v #s(literal -1/2 binary32)) (*.f32 sinTheta_i sinTheta_O)))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (log.f32 (pow.f32 (exp.f32 (*.f32 sinTheta_i sinTheta_O)) (pow.f32 v #s(literal -1/2 binary32)))))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O (neg.f32 v)))
(*.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 #s(literal 1 binary32) (neg.f32 (*.f32 sinTheta_i sinTheta_O))) (/.f32 #s(literal -1 binary32) v))
(*.f32 (*.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 sinTheta_i #s(literal -1 binary32)) (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 (/.f32 sinTheta_O #s(literal -1 binary32)) (/.f32 sinTheta_i (neg.f32 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 (pow.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 v (*.f32 sinTheta_i sinTheta_O)) #s(literal -1/2 binary32)))
(*.f32 (neg.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v))
(*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) (pow.f32 v #s(literal -1/2 binary32))) (pow.f32 v #s(literal -1/2 binary32)))
(*.f32 (*.f32 #s(literal 1 binary32) sinTheta_i) (/.f32 sinTheta_O v))
(*.f32 (*.f32 #s(literal 1 binary32) sinTheta_O) (/.f32 sinTheta_i v))
(log.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))

eval99.0ms (0.5%)

Memory
-0.6MiB live, 193.4MiB allocated
Compiler

Compiled 27 265 to 2 906 computations (89.3% saved)

prune198.0ms (1.1%)

Memory
26.5MiB live, 347.2MiB allocated
Pruning

43 alts after pruning (43 fresh and 0 done)

PrunedKeptTotal
New1 051431 094
Fresh000
Picked101
Done000
Total1 052431 095
Accuracy
99.7%
Counts
1 095 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
▶92.3%
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
94.2%
(/.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.0%
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
97.9%
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
98.1%
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
98.6%
(/.f32 (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
93.3%
(/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
97.5%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))))
98.4%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))
▶98.7%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
98.6%
(/.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)) (/.f32 #s(literal 1 binary32) v)))
98.3%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 v #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.4%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
98.3%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
98.4%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) #s(literal 1 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.3%
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
98.5%
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 v v)))
98.4%
(/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
98.6%
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
90.5%
(/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.3%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.5%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 v #s(literal -2 binary32))))
98.0%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) v))
98.4%
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
98.6%
(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
98.1%
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
98.6%
(*.f32 (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.6%
(*.f32 (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
98.5%
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (/.f32 cosTheta_O (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
▶98.5%
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
98.4%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
▶98.6%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
98.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
98.5%
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
98.6%
(*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O (*.f32 v v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
98.5%
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
57.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (*.f32 v v))) v))
▶59.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
59.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32)))) v))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
57.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
98.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (*.f32 v v)) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v))))))
Compiler

Compiled 2 474 to 1 682 computations (32% saved)

simplify216.0ms (1.2%)

Memory
-6.0MiB live, 341.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓cost-diff0
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
✓cost-diff0
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v)
✓cost-diff8192
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
✓cost-diff0
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v)
✓cost-diff0
(*.f32 cosTheta_i cosTheta_O)
✓cost-diff0
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
✓cost-diff192
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓cost-diff0
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓cost-diff0
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
✓cost-diff0
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O)
✓cost-diff7808
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
✓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-diff160
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))
✓cost-diff160
(*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))
✓cost-diff7744
(/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
✓cost-diff7936
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
Rules
4 764×lower-*.f64
4 724×lower-*.f32
3 570×lower-/.f64
3 544×lower-/.f32
1 910×lower-fma.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
064516
0106534
1233520
2755512
34273512
45466452
56930452
08028452
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))
(-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))
(exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))
(cosh.f32 (/.f32 #s(literal 1 binary32) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
#s(literal 1/2 binary32)
v
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O)
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(neg.f32 v)
v
cosTheta_O
(/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
cosTheta_i
(*.f32 v (*.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)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(*.f32 v #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v)
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(neg.f32 v)
v
(/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(literal 1/2 binary32)
(*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v)
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(neg.f32 v)
v
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 v (*.f32 cosTheta_i cosTheta_O))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
Outputs
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
(*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (exp.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
(*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))
(-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))))
(-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(exp.f32 (/.f32 #s(literal 2 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))
(/.f32 #s(literal 2 binary32) v)
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))
(exp.f32 (/.f32 #s(literal -2 binary32) v))
(*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))
(/.f32 #s(literal -2 binary32) v)
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 2 binary32) v) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))
(cosh.f32 (/.f32 #s(literal 1 binary32) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
(*.f32 cosTheta_i (*.f32 cosTheta_O #s(literal 1/2 binary32)))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
#s(literal 1/2 binary32)
v
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O)
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) cosTheta_O)
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(neg.f32 v)
v
cosTheta_O
(/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))
cosTheta_i
(*.f32 v (*.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 (*.f32 v #s(literal 2 binary32))))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(*.f32 v #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v))))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) #s(literal 1/2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v v)))
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(neg.f32 v)
v
(/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(literal 1/2 binary32)
(*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
(/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(neg.f32 v)
v
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 v (*.f32 cosTheta_i cosTheta_O))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)

localize217.0ms (1.2%)

Memory
4.1MiB live, 363.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓accuracy99.2%
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓accuracy97.2%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy93.1%
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
✓accuracy99.2%
(/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓accuracy99.1%
(*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓accuracy98.9%
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓accuracy97.2%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy99.2%
(/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
✓accuracy99.2%
(*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
✓accuracy99.1%
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
✓accuracy97.2%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy100.0%
(*.f32 cosTheta_O cosTheta_i)
✓accuracy99.8%
(*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
✓accuracy99.1%
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
✓accuracy97.6%
(cosh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy96.2%
(exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
✓accuracy96.1%
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))
Samples
114.0ms256×0valid
Compiler

Compiled 518 to 55 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-mult: 36.0ms (40.7% of total)
ival-div: 31.0ms (35.1% of total)
ival-exp: 12.0ms (13.6% of total)
ival-cosh: 3.0ms (3.4% of total)
ival-neg: 2.0ms (2.3% of total)
ival-sinh: 2.0ms (2.3% of total)
ival-sub: 1.0ms (1.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series172.0ms (0.9%)

Memory
-4.0MiB live, 189.9MiB allocated
Counts
27 → 744
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))>
#<alt (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))>
#<alt (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))>
#<alt (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)>
#<alt (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))>
#<alt (*.f32 cosTheta_O cosTheta_i)>
#<alt (*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))>
#<alt (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O)>
#<alt (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))>
#<alt (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))>
#<alt (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))>
#<alt (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))>
#<alt (*.f32 cosTheta_i cosTheta_O)>
#<alt (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v)>
#<alt (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))>
#<alt (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))>
#<alt (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))>
#<alt (cosh.f32 (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))>
#<alt (sinh.f32 (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))>
#<alt (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))>
#<alt (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))>
#<alt (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))>
#<alt (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))>
#<alt (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))>
Outputs
#<alt (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 3) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 3) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 4) (- (exp (/ 2 v)) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 3) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 5) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 4) (- (exp (/ 2 v)) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 3) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 3) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 2) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 4) (- (exp (/ 2 v)) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 3) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 3) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 5) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 4) (- (exp (/ 2 v)) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 2 (/ (- (* 1/4 (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 2 (/ (- (* 1/4 (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 2 (/ (- (* 1/4 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3)))))) 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 (/ (+ (* -2 (/ (- (* -1/4 (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* -1/6 (* cosTheta_O cosTheta_i))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (* -1/4 (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O sinTheta_i)))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 2 (- (* -1/4 (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))>
#<alt (/ (* v (- (exp (/ 2 v)) (exp (/ -2 v)))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ (* v (- (exp (/ 2 v)) (exp (/ -2 v)))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ (* v (- (exp (/ 2 v)) (exp (/ -2 v)))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ (* v (- (exp (/ 2 v)) (exp (/ -2 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))))))>
#<alt (- (exp (/ 2 v)) (exp (/ -2 v)))>
#<alt (- (exp (/ 2 v)) (exp (/ -2 v)))>
#<alt (- (exp (/ 2 v)) (exp (/ -2 v)))>
#<alt (- (exp (/ 2 v)) (exp (/ -2 v)))>
#<alt (/ 4 v)>
#<alt (/ (+ 4 (* 8/3 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 4 (+ (/ 8/15 (pow v 4)) (* 8/3 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 4 (+ (/ 8/15 (pow v 4)) (+ (* 8/3 (/ 1 (pow v 2))) (* 16/315 (/ 1 (pow v 6)))))) v)>
#<alt (/ 4 v)>
#<alt (/ (+ 4 (* 8/3 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 8/3 (* 8/15 (/ 1 (pow v 2)))) (pow v 2))) 4) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 8/15 (* 16/315 (/ 1 (pow v 2)))) (pow v 4))) (+ 4 (* 8/3 (/ 1 (pow v 2))))) v))>
#<alt (/ 2 v)>
#<alt (/ 2 v)>
#<alt (/ 2 v)>
#<alt (/ 2 v)>
#<alt (/ 2 v)>
#<alt (/ 2 v)>
#<alt (/ 2 v)>
#<alt (/ 2 v)>
#<alt (/ 2 v)>
#<alt (/ 2 v)>
#<alt (/ 2 v)>
#<alt (/ 2 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 (/ (* 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))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (* 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)>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))>
#<alt (+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* 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 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))>
#<alt (+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* 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 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))>
#<alt (/ 2 (* cosTheta_O cosTheta_i))>
#<alt (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))>
#<alt (+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))>
#<alt (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
Calls

186 calls:

TimeVariablePointExpression
29.0ms
v
@0
(/ (* sinTheta_i sinTheta_O) (neg v))
15.0ms
sinTheta_O
@inf
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v))))
14.0ms
cosTheta_i
@-inf
(* cosTheta_O cosTheta_i)
9.0ms
sinTheta_i
@inf
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v))))
3.0ms
sinTheta_i
@0
(/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v))))

simplify1.4s (7.3%)

Memory
4.0MiB live, 516.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 972×lower-fma.f64
8 972×lower-fma.f32
8 232×lower-*.f64
8 232×lower-*.f32
3 662×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082513887
1262413371
0822013227
Stop Event
1×iter limit
1×node limit
Counts
744 → 740
Calls
Call 1
Inputs
(/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 3) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 3) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 4) (- (exp (/ 2 v)) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 3) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (* sinTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 5) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 4) (- (exp (/ 2 v)) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v))))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 3) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 3) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 2) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 4) (- (exp (/ 2 v)) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 3) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 3) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 5) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 4) (- (exp (/ 2 v)) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v))))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 2 (/ (- (* 1/4 (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 2 (/ (- (* 1/4 (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 2 (/ (- (* 1/4 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3)))))) 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 (/ (+ (* -2 (/ (- (* -1/4 (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* -1/6 (* cosTheta_O cosTheta_i))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (- (* -1/4 (* cosTheta_O (* cosTheta_i (+ (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O sinTheta_i)))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 2 (- (* -1/4 (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/ (* v (- (exp (/ 2 v)) (exp (/ -2 v)))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (* v (- (exp (/ 2 v)) (exp (/ -2 v)))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (* v (- (exp (/ 2 v)) (exp (/ -2 v)))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (* v (- (exp (/ 2 v)) (exp (/ -2 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))))))
(- (exp (/ 2 v)) (exp (/ -2 v)))
(- (exp (/ 2 v)) (exp (/ -2 v)))
(- (exp (/ 2 v)) (exp (/ -2 v)))
(- (exp (/ 2 v)) (exp (/ -2 v)))
(/ 4 v)
(/ (+ 4 (* 8/3 (/ 1 (pow v 2)))) v)
(/ (+ 4 (+ (/ 8/15 (pow v 4)) (* 8/3 (/ 1 (pow v 2))))) v)
(/ (+ 4 (+ (/ 8/15 (pow v 4)) (+ (* 8/3 (/ 1 (pow v 2))) (* 16/315 (/ 1 (pow v 6)))))) v)
(/ 4 v)
(/ (+ 4 (* 8/3 (/ 1 (pow v 2)))) v)
(* -1 (/ (- (* -1 (/ (+ 8/3 (* 8/15 (/ 1 (pow v 2)))) (pow v 2))) 4) v))
(* -1 (/ (- (* -1 (/ (+ 8/15 (* 16/315 (/ 1 (pow v 2)))) (pow v 4))) (+ 4 (* 8/3 (/ 1 (pow v 2))))) v))
(/ 2 v)
(/ 2 v)
(/ 2 v)
(/ 2 v)
(/ 2 v)
(/ 2 v)
(/ 2 v)
(/ 2 v)
(/ 2 v)
(/ 2 v)
(/ 2 v)
(/ 2 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 (* 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) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* 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 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ 1/2 v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))) v)
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(/ 1/2 v)
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(/ 1 v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))))) (/ 1 v))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ 1 v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (/ 1 v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))))) (/ 1 v))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ 1 v)
(/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
(/ 1 v)
(* -1 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v))) v)) 1) v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (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)))))))
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Outputs
(/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
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(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 3) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (* sinTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 4) (- (exp (/ 2 v)) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v))))))
(fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))))) (*.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 cosTheta_i sinTheta_O))) (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O)) (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) (*.f32 v (*.f32 v v))))))))
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(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 3) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v))))))
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(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 3) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 2) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 4) (- (exp (/ 2 v)) (exp (/ -2 v)))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v))))))
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(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 3) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (* (pow sinTheta_i 3) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (* (pow v 5) (- (exp (/ 2 v)) (exp (/ -2 v)))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_i 2) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 4) (- (exp (/ 2 v)) (exp (/ -2 v)))))))))) (/ (* cosTheta_O (* cosTheta_i (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v))))))
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(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
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(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O (*.f32 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 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) v)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 2 (/ (- (* 1/4 (* cosTheta_O (* cosTheta_i (+ 1/2 (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v)
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(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
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(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
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(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (* (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* (pow v 2) (- (exp (/ 2 v)) (exp (/ -2 v)))))
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(/ (* v (- (exp (/ 2 v)) (exp (/ -2 v)))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
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(/ (* v (- (exp (/ 2 v)) (exp (/ -2 v)))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
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(/ (* v (- (exp (/ 2 v)) (exp (/ -2 v)))) (+ (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
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2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
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(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
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2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
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(+ 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)))))
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(- (exp (/ 2 v)) (exp (/ -2 v)))
(-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(- (exp (/ 2 v)) (exp (/ -2 v)))
(-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(- (exp (/ 2 v)) (exp (/ -2 v)))
(-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))
(- (exp (/ 2 v)) (exp (/ -2 v)))
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(/ 4 v)
(/.f32 #s(literal 4 binary32) v)
(/ (+ 4 (* 8/3 (/ 1 (pow v 2)))) v)
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(/ (+ 4 (+ (/ 8/15 (pow v 4)) (* 8/3 (/ 1 (pow v 2))))) v)
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(/ (+ 4 (+ (/ 8/15 (pow v 4)) (+ (* 8/3 (/ 1 (pow v 2))) (* 16/315 (/ 1 (pow v 6)))))) v)
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(/ 4 v)
(/.f32 #s(literal 4 binary32) v)
(/ (+ 4 (* 8/3 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 8/3 binary32) (*.f32 v v))) v)
(* -1 (/ (- (* -1 (/ (+ 8/3 (* 8/15 (/ 1 (pow v 2)))) (pow v 2))) 4) v))
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(* -1 (/ (- (* -1 (/ (+ 8/15 (* 16/315 (/ 1 (pow v 2)))) (pow v 4))) (+ 4 (* 8/3 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (+.f32 #s(literal 8/15 binary32) (/.f32 #s(literal 16/315 binary32) (*.f32 v v))) (neg.f32 (pow.f32 v #s(literal 4 binary32)))) (+.f32 #s(literal 4 binary32) (/.f32 #s(literal 8/3 binary32) (*.f32 v v)))) (neg.f32 v))
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ 2 v)
(/.f32 #s(literal 2 binary32) v)
(/ 2 v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v)
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(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v)
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(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v)
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(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v)
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(* 1/2 (* cosTheta_O cosTheta_i))
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(* 1/2 (* 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)
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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)
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(* 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)
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(* 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)
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(* 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)
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(* 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)
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O (*.f32 cosTheta_i sinTheta_O)) (*.f32 cosTheta_O sinTheta_i)) (*.f32 (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 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O))) (*.f32 (*.f32 v (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (*.f32 cosTheta_i sinTheta_O))) (*.f32 (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 #s(literal -1/6 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))))) (*.f32 (pow.f32 v #s(literal 5 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O))) (*.f32 (*.f32 v (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) (*.f32 (*.f32 v (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) (*.f32 (pow.f32 v #s(literal 4 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 (pow.f32 v #s(literal 4 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) #s(literal -1/6 binary32)) (*.f32 (pow.f32 v #s(literal 5 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (neg.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O sinTheta_i))) (*.f32 (*.f32 v (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) v)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_i (neg.f32 sinTheta_O))))) (*.f32 v (*.f32 v v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O (*.f32 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 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_i (neg.f32 sinTheta_O))))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (*.f32 cosTheta_O (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i) cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(fma.f32 sinTheta_i (fma.f32 cosTheta_O (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v))))) (*.f32 cosTheta_O (/.f32 sinTheta_O (neg.f32 v)))) cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 cosTheta_O (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))) (*.f32 cosTheta_O (/.f32 sinTheta_O (neg.f32 v)))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (*.f32 cosTheta_O (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i) cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (/.f32 (*.f32 cosTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 cosTheta_O (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) cosTheta_O) (*.f32 v v))) (/.f32 (*.f32 cosTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (*.f32 cosTheta_O (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i) cosTheta_O)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(fma.f32 cosTheta_O (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))) (*.f32 v v)) (fma.f32 (*.f32 cosTheta_O (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i) cosTheta_O))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(+.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32))) (*.f32 v v)) (fma.f32 (*.f32 cosTheta_O (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i) cosTheta_O)) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) (*.f32 v (*.f32 v v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (*.f32 cosTheta_O (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i) cosTheta_O)
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (/.f32 (*.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 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 cosTheta_O (*.f32 sinTheta_O sinTheta_i) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) v))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) (*.f32 cosTheta_O #s(literal 1/2 binary32)))) (neg.f32 v))) v))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 cosTheta_O (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (/.f32 sinTheta_i (neg.f32 v))) #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v v))) (/.f32 sinTheta_O (neg.f32 v))) #s(literal 1 binary32))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
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(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))) v)
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(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))) v)
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(/.f32 #s(literal 1/2 binary32) v)
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(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 v (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) (*.f32 (*.f32 v (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) (*.f32 (pow.f32 v #s(literal 4 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 (pow.f32 v #s(literal 4 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))))) #s(literal -1/6 binary32)) (*.f32 (pow.f32 v #s(literal 5 binary32)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (neg.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O sinTheta_i))) (*.f32 (*.f32 v (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) v)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_i (neg.f32 sinTheta_O))))) (*.f32 v (*.f32 v v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O (*.f32 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 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_i (neg.f32 sinTheta_O))))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 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 v)
(/.f32 #s(literal 1 binary32) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(fma.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i (*.f32 v v))) (/.f32 #s(literal 1 binary32) v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (/ 1 v))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v))) (neg.f32 (/.f32 sinTheta_O (*.f32 v v)))) (/.f32 #s(literal 1 binary32) v))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 3))))))) (/ 1 v))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v (*.f32 v v))) (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 (/.f32 sinTheta_i (pow.f32 v #s(literal 4 binary32))) #s(literal -1/6 binary32)))) (neg.f32 (/.f32 sinTheta_O (*.f32 v v)))) (/.f32 #s(literal 1 binary32) v))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (/ 1 v))
(fma.f32 sinTheta_O (neg.f32 (/.f32 sinTheta_i (*.f32 v v))) (/.f32 #s(literal 1 binary32) v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (/ 1 v))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) (*.f32 v (*.f32 v v))) (neg.f32 (/.f32 sinTheta_i (*.f32 v v)))) (/.f32 #s(literal 1 binary32) v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 3))))))) (/ 1 v))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (pow.f32 v #s(literal 4 binary32)))) (neg.f32 (/.f32 sinTheta_i (*.f32 v v)))) (/.f32 #s(literal 1 binary32) v))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
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(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
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(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
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(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
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(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v)) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)
(/.f32 (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (/.f32 sinTheta_i (neg.f32 v))) #s(literal 1 binary32)) v)
(/ (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)
(/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 v v)) (/.f32 sinTheta_i (neg.f32 v))) (/.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) #s(literal -1/6 binary32))) (*.f32 v (*.f32 v v))))) v)
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(* -1 (/ (- (/ (* sinTheta_O sinTheta_i) v) 1) v))
(/.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) v)
(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))
(/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (/.f32 (*.f32 sinTheta_i sinTheta_i) v) (*.f32 sinTheta_i (neg.f32 sinTheta_O))) (neg.f32 v)) #s(literal -1 binary32)) (neg.f32 v))
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(/.f32 (+.f32 (neg.f32 (/.f32 (neg.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) v) #s(literal 1/6 binary32)) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32)))) v))) v)) #s(literal -1 binary32)) (neg.f32 v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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) (exp.f32 (/.f32 (*.f32 sinTheta_i (neg.f32 sinTheta_O)) v))) (*.f32 (*.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)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
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(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ 2 (* cosTheta_O cosTheta_i))
(/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))
(+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))
(+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 v v)))))
(+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 v v))))) (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))))))
(+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 v #s(literal 6 binary32))))) (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))))) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)))))
(/ 2 (* cosTheta_O cosTheta_i))
(/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))
(+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))
(+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 v v)))))
(+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))
(+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 v v))))) (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))))))
(+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 v #s(literal 6 binary32))))) (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))))) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)))))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))

rewrite1.0s (5.6%)

Memory
17.4MiB live, 419.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 630×lower-/.f64
4 604×lower-/.f32
3 704×lower-*.f64
3 664×lower-*.f32
1 334×frac-2neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051305
093315
1296249
21971249
08447249
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 1 779
Calls
Call 1
Inputs
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O)
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 cosTheta_i cosTheta_O)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v)
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))
(exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))
(cosh.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
(*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
Outputs
(neg.f32 (neg.f32 (/.f32 (*.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)))))))
(neg.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))))
(neg.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)) (/.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
(neg.f32 (*.f32 (/.f32 cosTheta_i (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v #s(literal -2 binary32)))) (*.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (*.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))))))))
(neg.f32 (*.f32 (*.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_i (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v #s(literal -2 binary32))))))
(neg.f32 (*.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (neg.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))))
(neg.f32 (*.f32 (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1 binary32) v)))
(neg.f32 (*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal -1 binary32) v)))
(neg.f32 (*.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) v))) (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 1/2 binary32)))))
(neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 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))))))
(neg.f32 (/.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))
(neg.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v #s(literal -2 binary32)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(neg.f32 (/.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))) (*.f32 cosTheta_i cosTheta_O))))
(neg.f32 (/.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (/.f32 (neg.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))))
(neg.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) v)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v)))
(neg.f32 (/.f32 (/.f32 (*.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))))) (neg.f32 v)))
(neg.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) #s(literal -1/2 binary32)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 cosTheta_i v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(neg.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v)))
(neg.f32 (/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) (neg.f32 v)))
(neg.f32 (/.f32 (*.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))) v))
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(*.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 1/2 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (*.f32 (/.f32 #s(literal -2 binary32) v) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (pow.f32 (neg.f32 (/.f32 v (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32)))
(*.f32 (/.f32 (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 1/2 binary32))) (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 2 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 6 binary32))))) (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 4 binary32))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))))
(*.f32 (/.f32 (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 1/2 binary32))) (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 4 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -2 binary32) v) #s(literal 2 binary32))))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))))
(*.f32 (pow.f32 (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) v)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32)) (pow.f32 (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) v) #s(literal -1 binary32)))
(*.f32 (pow.f32 (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) v) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) v))
(*.f32 (pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) #s(literal -1/2 binary32)) (pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(neg.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))) (*.f32 cosTheta_i cosTheta_O)))
(neg.f32 (/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v))))
(pow.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))) (*.f32 cosTheta_i cosTheta_O)))
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(-.f32 (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (/.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 v (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 v (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O (*.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i))))
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) cosTheta_i)))
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) cosTheta_O)))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (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))) (*.f32 cosTheta_i (neg.f32 cosTheta_O)))
(/.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))) (*.f32 cosTheta_i cosTheta_O)) #s(literal -1 binary32))
(/.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (*.f32 cosTheta_i cosTheta_O)) (/.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))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (*.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_O)
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) cosTheta_O)
(/.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) cosTheta_i) cosTheta_O)
(/.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) cosTheta_O) cosTheta_i)
(/.f32 (neg.f32 (*.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (neg.f32 cosTheta_O))
(/.f32 (neg.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i))) (neg.f32 cosTheta_O))
(/.f32 (neg.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) cosTheta_i)) (neg.f32 cosTheta_O))
(/.f32 (neg.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) cosTheta_O)) (neg.f32 cosTheta_i))
(*.f32 v (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 v (/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i cosTheta_O)))
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 #s(literal 2 binary32) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i cosTheta_O)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))) (*.f32 cosTheta_i cosTheta_O)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))
(*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (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))) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta_i cosTheta_O)))
(*.f32 (/.f32 (*.f32 v #s(literal 2 binary32)) (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)))
(*.f32 (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i cosTheta_O)) #s(literal 2 binary32))
(*.f32 (/.f32 v cosTheta_i) (/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O))
(*.f32 (*.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1 binary32) cosTheta_O))
(*.f32 (/.f32 v (*.f32 cosTheta_i (neg.f32 cosTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (/.f32 v (*.f32 cosTheta_i (neg.f32 cosTheta_O))))
(*.f32 (/.f32 v cosTheta_O) (/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i))
(*.f32 (neg.f32 (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i cosTheta_O))) #s(literal -2 binary32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1 binary32) cosTheta_O))
(*.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_O))
(*.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_i))
(*.f32 (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))

eval1.4s (7.4%)

Memory
-37.8MiB live, 580.2MiB allocated
Compiler

Compiled 83 090 to 4 990 computations (94% saved)

prune430.0ms (2.3%)

Memory
31.9MiB live, 836.9MiB allocated
Pruning

65 alts after pruning (64 fresh and 1 done)

PrunedKeptTotal
New2 857452 902
Fresh191938
Picked415
Done000
Total2 880652 945
Accuracy
99.9%
Counts
2 945 → 65
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.3%
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (*.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_O))
53.1%
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 v (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 v (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 cosTheta_i cosTheta_O))))
▶92.3%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
98.4%
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) v))
97.9%
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
98.1%
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
98.6%
(/.f32 (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
93.3%
(/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
97.9%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
97.7%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
97.5%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))))
78.4%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) #s(approx (exp (* (/ -1 v) 2)) #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
98.3%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.4%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32))))
98.4%
(/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
98.6%
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
92.2%
(/.f32 (exp.f32 (fma.f32 (log.f32 v) #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
90.5%
(/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.3%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
92.6%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
92.1%
(*.f32 (pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) #s(literal -1/2 binary32)) (pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) #s(literal -1/2 binary32)))
▶92.3%
(*.f32 (pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
98.5%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 v #s(literal -2 binary32))))
98.0%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) v))
98.4%
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
98.1%
(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
98.6%
(*.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
98.5%
(*.f32 (/.f32 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))))) cosTheta_i)
98.6%
(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
98.6%
(*.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
98.6%
(*.f32 (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
98.5%
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
98.5%
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (/.f32 (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))))
59.5%
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
98.7%
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (*.f32 (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
94.9%
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))) cosTheta_i)) #s(literal -1 binary32))))
98.5%
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
98.5%
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
▶98.6%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.6%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
▶98.8%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.7%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
98.7%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
98.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (exp.f32 (*.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32)))))
98.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
98.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
98.4%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (exp.f32 (fma.f32 (log.f32 v) #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
59.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
57.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32)) (*.f32 v v)) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) v)))
57.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/12 binary32) (fma.f32 sinTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_i (neg.f32 sinTheta_O)))) v) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/4 binary32) #s(literal 1/12 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal -1/2 binary32)) (neg.f32 v))))
57.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v))))
59.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 #s(literal 1/2 binary32) v)))
98.6%
(*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O (*.f32 v v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
98.6%
(*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
98.5%
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
57.5%
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
57.5%
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v)))
▶59.6%
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
98.4%
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
57.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))) v))
57.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32)))) v)) (neg.f32 v))) (neg.f32 v)))
98.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
57.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (*.f32 v v))) v))
✓59.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
57.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
Compiler

Compiled 3 984 to 2 633 computations (33.9% saved)

simplify203.0ms (1.1%)

Memory
-25.6MiB live, 410.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓cost-diff0
(*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
✓cost-diff4384
(*.f32 (pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
✓cost-diff6944
(pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32))
✓cost-diff192
(/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)
✓cost-diff192
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓cost-diff3712
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
✓cost-diff4032
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓cost-diff0
(/.f32 v (*.f32 cosTheta_i cosTheta_O))
✓cost-diff0
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓cost-diff0
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)
✓cost-diff4416
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
✓cost-diff0
(*.f32 cosTheta_i #s(literal 1/2 binary32))
✓cost-diff0
(*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))
✓cost-diff0
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v)
✓cost-diff192
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓cost-diff192
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓cost-diff3776
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
✓cost-diff4032
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Rules
7 574×lower-*.f64
7 550×lower-*.f32
2 788×lower-/.f64
2 764×lower-/.f32
1 890×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055431
087430
1157429
2421421
31641421
47332421
09143421
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.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) (neg.f32 v))) v)
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(neg.f32 v)
v
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v)
(*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))
cosTheta_O
(*.f32 cosTheta_i #s(literal 1/2 binary32))
cosTheta_i
#s(literal 1/2 binary32)
v
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)
#s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))
#s(literal 1 binary32)
v
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 v (*.f32 cosTheta_i cosTheta_O))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 2 binary32)
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
#s(literal 1/2 binary32)
(*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
v
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(*.f32 (pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32))
(*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 v (*.f32 cosTheta_i cosTheta_O))
v
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
#s(literal -1 binary32)
Outputs
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v)
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
#s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(neg.f32 v)
v
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v)
(*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v))
(*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))
cosTheta_O
(*.f32 cosTheta_i #s(literal 1/2 binary32))
cosTheta_i
#s(literal 1/2 binary32)
v
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)))
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)
#s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))
#s(literal 1 binary32)
v
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 v (*.f32 cosTheta_i cosTheta_O))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 2 binary32)
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (*.f32 v #s(literal 2 binary32)) v))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) v)
#s(literal 1/2 binary32)
(*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
v
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(*.f32 (pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i #s(literal 1/2 binary32)) v)))
(pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 #s(literal 1/2 binary32) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (*.f32 v (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O)))))
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))))
(/.f32 v (*.f32 cosTheta_i cosTheta_O))
v
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
#s(literal -1 binary32)

localize155.0ms (0.8%)

Memory
25.2MiB live, 299.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy99.2%
(*.f32 (pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
✓accuracy97.2%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy93.9%
(pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32))
✓accuracy99.3%
(/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)
✓accuracy99.2%
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
✓accuracy98.7%
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓accuracy97.2%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy99.6%
(/.f32 v (*.f32 cosTheta_i cosTheta_O))
✓accuracy99.5%
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓accuracy97.2%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy93.1%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
✓accuracy100.0%
(*.f32 cosTheta_i #s(literal 1/2 binary32))
✓accuracy100.0%
(*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))
✓accuracy99.1%
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v)
✓accuracy99.2%
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
✓accuracy99.0%
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓accuracy98.9%
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓accuracy97.2%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Samples
75.0ms256×0valid
Compiler

Compiled 433 to 42 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 21.0ms (40.4% of total)
ival-mult: 20.0ms (38.4% of total)
ival-exp: 4.0ms (7.7% of total)
ival-sinh: 3.0ms (5.8% of total)
ival-pow: 2.0ms (3.8% of total)
exact: 1.0ms (1.9% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series118.0ms (0.6%)

Memory
-18.1MiB live, 176.9MiB allocated
Counts
22 → 852
Calls
Call 1
Inputs
#<alt (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))>
#<alt (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))>
#<alt (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))>
#<alt (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))>
#<alt (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v)>
#<alt (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))>
#<alt (*.f32 cosTheta_i #s(literal 1/2 binary32))>
#<alt (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))>
#<alt (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)>
#<alt (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))>
#<alt (/.f32 v (*.f32 cosTheta_i cosTheta_O))>
#<alt (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))>
#<alt (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))>
#<alt (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))>
#<alt (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)>
#<alt (pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32))>
#<alt (*.f32 (pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))>
#<alt (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))>
#<alt (sinh.f32 (/.f32 #s(literal 1 binary32) v))>
#<alt (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))>
#<alt (/.f32 (*.f32 sinTheta_i sinTheta_O) v)>
Outputs
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
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#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt 1>
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#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
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#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))>
#<alt (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))>
#<alt (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))>
#<alt (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1/2 v)>
#<alt (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))) v)>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))) v)>
#<alt (/ 1/2 v)>
#<alt (* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt (* 1/2 (/ (* 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 (/ (* 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))>
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#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
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#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
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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)>
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#<alt (+ (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O (* cosTheta_i v)))) (/ (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i)))) (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i)))>
#<alt (+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O (* cosTheta_i (pow v 2))))) (* 1/2 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O (* cosTheta_i v)))))) (/ (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i)))) (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i)))>
#<alt (/ (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ 2 (* cosTheta_O cosTheta_i))>
#<alt (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))>
#<alt (+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))>
#<alt (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))>
#<alt (/ 2 (* cosTheta_O cosTheta_i))>
#<alt (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))>
#<alt (+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))>
#<alt (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (* -1 (/ (* sinTheta_O sinTheta_i) v))>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
#<alt (/ (* sinTheta_O sinTheta_i) v)>
Calls

213 calls:

TimeVariablePointExpression
12.0ms
sinTheta_O
@inf
(* (* (/ v (* cosTheta_i cosTheta_O)) (* 2 (sinh (/ 1 v)))) (exp (/ (* sinTheta_i sinTheta_O) v)))
7.0ms
cosTheta_i
@0
(pow (* (* (/ v (* cosTheta_i cosTheta_O)) (* 2 (sinh (/ 1 v)))) (exp (/ (* sinTheta_i sinTheta_O) v))) -1)
4.0ms
sinTheta_O
@inf
(* (* cosTheta_i cosTheta_O) (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))))
3.0ms
sinTheta_i
@-inf
(/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v)
2.0ms
sinTheta_i
@inf
(* (* cosTheta_i cosTheta_O) (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))))

simplify448.0ms (2.4%)

Memory
10.7MiB live, 864.4MiB allocated
Algorithm
1×egg-herbie
Rules
9 714×lower-fma.f64
9 714×lower-fma.f32
7 162×lower-*.f64
7 162×lower-*.f32
5 414×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097318301
1334417445
0841917195
Stop Event
1×iter limit
1×node limit
Counts
852 → 852
Calls
Call 1
Inputs
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 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))
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(/ (* 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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(+ (/ (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i)) (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i)))
(+ (* sinTheta_i (+ (* 1/2 (/ (* (pow sinTheta_O 2) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O (* cosTheta_i v)))) (/ (* sinTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i)))) (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i)))
(+ (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (/ (* (pow sinTheta_O 3) (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O (* cosTheta_i (pow v 2))))) (* 1/2 (/ (* (pow sinTheta_O 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O (* cosTheta_i v)))))) (/ (* sinTheta_O (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(+ (/ (* sinTheta_O (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O cosTheta_i)) (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i)))
(+ (* sinTheta_O (+ (* 1/2 (/ (* sinTheta_O (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O (* cosTheta_i v)))) (/ (* sinTheta_i (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i)))) (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i)))
(+ (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (/ (* sinTheta_O (* (pow sinTheta_i 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))) (* cosTheta_O (* cosTheta_i (pow v 2))))) (* 1/2 (/ (* (pow sinTheta_i 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O (* cosTheta_i v)))))) (/ (* sinTheta_i (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ 2 (* cosTheta_O cosTheta_i))
(+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))
(+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))
(+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))
(/ 2 (* cosTheta_O cosTheta_i))
(+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))
(+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))
(+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* 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))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
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1
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(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32))))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v (*.f32 v v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O 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))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (/.f32 (*.f32 cosTheta_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 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)))))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32))))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.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 (*.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 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.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 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/6 binary32))) (*.f32 v v))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))) (*.f32 v (*.f32 v v))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/6 binary32))) (*.f32 v v)))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) 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))
(neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))) v) (*.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v))) (*.f32 (*.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 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.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 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1/6 binary32)) (neg.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))))) (*.f32 v 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 (* 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (neg.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1/6 binary32))))) (*.f32 sinTheta_O (*.f32 sinTheta_i (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1/6 binary32)) (neg.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))))))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 1/6 binary32) (fma.f32 sinTheta_O sinTheta_i (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1/6 binary32)) (neg.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))))) (*.f32 v v))) (*.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 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) 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 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 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 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/6 binary32) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O 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))))))
(+ (* 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)))))))
(fma.f32 sinTheta_i (fma.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_i) (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O))) (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (*.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i (fma.f32 (neg.f32 sinTheta_O) (/.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) v) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))) (/.f32 (neg.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))))) (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O))) (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O 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))))))
(+ (* 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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 sinTheta_O (fma.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_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)))))))
(+ (* 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)))))))
(fma.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (/.f32 (*.f32 cosTheta_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 sinTheta_O (*.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_O (fma.f32 cosTheta_O (neg.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32))))) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))) (/.f32 (*.f32 sinTheta_i (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))))) (neg.f32 v)))) (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ 1 (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ 1 (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 1 (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 1 (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.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 (* sinTheta_O (+ (* -1 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* sinTheta_O (- (* sinTheta_O (- (* -1 (* sinTheta_O (+ (* -1 (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) v)) (+ (* -1/2 (/ (pow sinTheta_i 3) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/6 (/ (pow sinTheta_i 3) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (+ (* -1 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))) (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.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 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* -1/2 (* sinTheta_i (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* v (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 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 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.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 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1/6 binary32)) (neg.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))))) (*.f32 v 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 (* 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (neg.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1/6 binary32))))) (*.f32 sinTheta_O (*.f32 sinTheta_i (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1/6 binary32)) (neg.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))))))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 1/6 binary32) (fma.f32 sinTheta_O sinTheta_i (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i)) #s(literal 1/6 binary32)) (neg.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))))) (*.f32 v v))) (*.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 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) 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 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 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 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/6 binary32) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O sinTheta_i)) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.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 (*.f32 cosTheta_O cosTheta_i) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))))) (neg.f32 v))) (neg.f32 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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O 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))))))
(+ (* 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)))))))
(fma.f32 sinTheta_i (fma.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_i) (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O))) (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (*.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i (fma.f32 (neg.f32 sinTheta_O) (/.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) v) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))) (/.f32 (neg.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))))) (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i sinTheta_O))) (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 v v) (exp.f32 (/.f32 (*.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 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v))))
(+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))))))
(+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))
(+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v))) (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))))) (/.f32 #s(literal 1/2520 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (pow.f32 v #s(literal 6 binary32))))))))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(*.f32 v (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.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 (+.f32 (+.f32 #s(literal 1 binary32) (/.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)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) 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 (neg.f32 (+.f32 (/.f32 (+.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))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/.f32 (*.f32 sinTheta_O (neg.f32 sinTheta_i)) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)

rewrite316.0ms (1.7%)

Memory
7.6MiB live, 510.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 086×lower-*.f64
4 062×lower-*.f32
3 500×lower-/.f64
3 476×lower-/.f32
1 488×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046270
079269
1232261
21496261
37250261
08041261
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 1 618
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v)))
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) 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) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v)
(*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))
(*.f32 cosTheta_i #s(literal 1/2 binary32))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 v (*.f32 cosTheta_i cosTheta_O))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v)
(pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32))
(*.f32 (pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
Outputs
(neg.f32 (neg.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))))
(neg.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))))
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))))
(neg.f32 (*.f32 (neg.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)))))
(neg.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 v v)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(neg.f32 (*.f32 (neg.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) (*.f32 cosTheta_i cosTheta_O)))
(neg.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))))
(neg.f32 (*.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) v)))
(neg.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (neg.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))))
(neg.f32 (*.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))) (neg.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))))
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))))
(neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))
(neg.f32 (/.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) (neg.f32 v)))
(neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32))))))))
(neg.f32 (/.f32 (neg.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))))))
(neg.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (neg.f32 v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(neg.f32 (/.f32 (neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))) v))
(neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 v v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))) (*.f32 v #s(literal -2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (*.f32 #s(literal 1/2 binary32) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (neg.f32 v)))
(neg.f32 (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32))))))) #s(literal -1 binary32)))
(exp.f32 (fma.f32 #s(literal -1 binary32) (log.f32 v) (log.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))))))
(exp.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))) (*.f32 #s(literal -1 binary32) (log.f32 v))))
(pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 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 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32))))) (neg.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))))) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))) (*.f32 v #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))) (*.f32 v #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (*.f32 #s(literal 1/2 binary32) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (/.f32 (*.f32 #s(literal 1/2 binary32) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v)) #s(literal 1/2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))))
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)))) (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))))
(/.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) v)
(/.f32 (neg.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)))))
(/.f32 (neg.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))))
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 v (*.f32 #s(literal 2 binary32) (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 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 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/2 binary32)))) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v)) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (neg.f32 v) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))) (neg.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))) (neg.f32 v))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 v v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))) (neg.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))))) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))) (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))) (*.f32 v #s(literal -2 binary32))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v #s(literal -2 binary32)))) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (*.f32 #s(literal 1/2 binary32) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) v)
(/.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O)))) #s(literal 2 binary32))
(/.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v)) #s(literal 1/2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))))) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
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eval310.0ms (1.7%)

Memory
16.7MiB live, 631.8MiB allocated
Compiler

Compiled 60 143 to 4 485 computations (92.5% saved)

prune361.0ms (2%)

Memory
-11.4MiB live, 882.2MiB allocated
Pruning

72 alts after pruning (69 fresh and 3 done)

PrunedKeptTotal
New2 544452 589
Fresh352459
Picked325
Done011
Total2 582722 654
Accuracy
100.0%
Counts
2 654 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))) (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
53.1%
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 v (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 v (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 cosTheta_i cosTheta_O))))
92.3%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i))))))
✓92.3%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
68.0%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 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))) #s(literal 2 binary32))))
63.8%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) #s(literal 2 binary32))))
60.1%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
92.3%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i))))
92.2%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
92.2%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (*.f32 (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
92.2%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O))) (/.f32 #s(literal 1 binary32) cosTheta_i)))
88.5%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(literal -1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
60.1%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
63.8%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v))))))
98.5%
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v #s(literal -2 binary32)))) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
93.3%
(/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
97.9%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
97.7%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
97.5%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))))
98.3%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.6%
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
90.5%
(/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
▶92.1%
(/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
98.3%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
92.1%
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))))))
92.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))))))
92.3%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O))))))
92.2%
(*.f32 (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))) #s(literal -1/2 binary32)))
92.3%
(*.f32 (pow.f32 (*.f32 (/.f32 v cosTheta_O) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i)) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
92.2%
(*.f32 (pow.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
92.1%
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))))
▶98.0%
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
98.4%
(*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.5%
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
92.3%
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O)))) (/.f32 #s(literal 1/2 binary32) v))
98.4%
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_i cosTheta_O))
97.9%
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32)))) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.5%
(*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))))
94.1%
(*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))
98.4%
(*.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/2 binary32))
98.5%
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (/.f32 (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))))
94.9%
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))) cosTheta_i)) #s(literal -1 binary32))))
98.5%
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
▶98.5%
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
98.4%
(*.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_O)
98.6%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(approx (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) (/.f32 #s(literal 1/2 binary32) v)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.4%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))))
98.4%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.6%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) v))))
98.4%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 v v)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
98.7%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
98.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (exp.f32 (*.f32 (log.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) #s(literal -1 binary32)))))
▶98.8%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
98.3%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (*.f32 (log.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))))) #s(literal -1 binary32))))
59.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
▶59.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
57.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v))))
98.5%
(*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
98.6%
(*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
98.5%
(*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.6%
(*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
57.5%
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
57.5%
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v)))
✓59.6%
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
57.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))) v))
57.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32)))) v)) (neg.f32 v))) (neg.f32 v)))
98.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
57.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (*.f32 v v))) v))
✓59.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
57.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
57.5%
#s(approx (* (pow (* (* (/ v (* cosTheta_i cosTheta_O)) (* 2 (sinh (/ 1 v)))) (exp (/ (* sinTheta_i sinTheta_O) v))) -1) (/ 1 v)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 v))) (neg.f32 v)))
Compiler

Compiled 3 893 to 2 574 computations (33.9% saved)

simplify285.0ms (1.5%)

Memory
8.6MiB live, 490.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))
✓cost-diff96
(*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32))
✓cost-diff384
(/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
✓cost-diff6464
(exp.f32 (*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32)))
✓cost-diff0
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓cost-diff0
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)
✓cost-diff192
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v)
✓cost-diff192
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
✓cost-diff0
(*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
✓cost-diff0
(/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
✓cost-diff0
(*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O)
✓cost-diff0
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
✓cost-diff0
(/.f32 #s(literal 1/2 binary32) v)
✓cost-diff0
(*.f32 cosTheta_i cosTheta_O)
✓cost-diff0
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
✓cost-diff0
(*.f32 cosTheta_i cosTheta_O)
✓cost-diff0
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓cost-diff192
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓cost-diff4224
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
Rules
7 172×lower-*.f64
7 148×lower-*.f32
2 834×lower-/.f64
2 814×lower-/.f32
2 722×lower-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049409
077403
1157402
2485398
32023391
44879391
56439391
08905391
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)
#s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))
#s(literal 1 binary32)
v
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
#s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O)
#s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))
#s(literal 1 binary32)
cosTheta_O
(/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
cosTheta_i
(*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
v
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
(*.f32 v #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v)
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)
#s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))
#s(literal 1 binary32)
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 2 binary32)
(/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32))
(log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))
(/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))
v
#s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal -1 binary32)
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 v (*.f32 cosTheta_i cosTheta_O))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 2 binary32)
Outputs
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)
#s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))
#s(literal 1 binary32)
v
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
#s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))
(/.f32 #s(literal 1/2 binary32) v)
#s(literal 1/2 binary32)
v
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))
(*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O)
(*.f32 cosTheta_O #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))
#s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))
#s(literal 1 binary32)
cosTheta_O
(/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))
cosTheta_i
(*.f32 v (*.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 (*.f32 v #s(literal 2 binary32))))
v
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
(*.f32 v #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v)
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v v))
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)
#s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))
#s(literal 1 binary32)
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 2 binary32)
(/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)
(*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32))
(neg.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))))
(log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))
(/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))
v
#s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal -1 binary32)
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(/.f32 v (*.f32 cosTheta_i cosTheta_O))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 2 binary32)

localize167.0ms (0.9%)

Memory
7.3MiB live, 435.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓accuracy99.2%
(exp.f32 (*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32)))
✓accuracy97.2%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy93.1%
(/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
✓accuracy99.5%
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
✓accuracy99.3%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v)
✓accuracy98.7%
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
✓accuracy97.2%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy99.2%
(/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
✓accuracy99.2%
(*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
✓accuracy99.1%
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))
✓accuracy97.2%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
✓accuracy100.0%
(/.f32 #s(literal 1/2 binary32) v)
✓accuracy100.0%
(*.f32 cosTheta_i cosTheta_O)
✓accuracy99.4%
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
✓accuracy99.4%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
✓accuracy99.0%
(/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
✓accuracy98.9%
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
✓accuracy97.2%
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Samples
89.0ms256×0valid
Compiler

Compiled 411 to 47 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-div: 32.0ms (47.1% of total)
ival-mult: 23.0ms (33.8% of total)
ival-exp: 6.0ms (8.8% of total)
ival-log: 3.0ms (4.4% of total)
ival-sinh: 2.0ms (2.9% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series281.0ms (1.5%)

Memory
-1.8MiB live, 556.7MiB allocated
Counts
21 → 744
Calls
Call 1
Inputs
#<alt (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))>
#<alt (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))>
#<alt (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))>
#<alt (*.f32 cosTheta_i cosTheta_O)>
#<alt (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))>
#<alt (/.f32 #s(literal 1/2 binary32) v)>
#<alt (*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))>
#<alt (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O)>
#<alt (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))>
#<alt (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))>
#<alt (*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))>
#<alt (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v)>
#<alt (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)>
#<alt (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))>
#<alt (exp.f32 (*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32)))>
#<alt (/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))>
#<alt (*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32))>
#<alt (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))>
#<alt (sinh.f32 (/.f32 #s(literal 1 binary32) v))>
#<alt (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))>
#<alt (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))>
Outputs
#<alt (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1/2 v)>
#<alt (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))) v)>
#<alt (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))) v)>
#<alt (/ 1/2 v)>
#<alt (* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))>
#<alt (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
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#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))>
#<alt (+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* 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 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))>
#<alt (+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))>
#<alt (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))>
#<alt cosTheta_O>
#<alt (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))>
#<alt (+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* 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 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<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))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))>
#<alt (* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))>
#<alt (* 2 v)>
#<alt (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))>
#<alt (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))>
#<alt (* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))>
#<alt (* 1/2 (/ (* cosTheta_O cosTheta_i) v))>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)>
#<alt (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)>
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#<alt (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)>
#<alt (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)>
#<alt (/ 1 v)>
#<alt (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))>
#<alt (* 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))))))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ 2 (* cosTheta_O cosTheta_i))>
#<alt (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))>
#<alt (+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))>
#<alt (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))>
#<alt (/ 2 (* cosTheta_O cosTheta_i))>
#<alt (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))>
#<alt (+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))>
#<alt (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
#<alt (/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))>
Calls

186 calls:

TimeVariablePointExpression
85.0ms
sinTheta_O
@-inf
(* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)
66.0ms
v
@0
(* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)
32.0ms
sinTheta_i
@-inf
(* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)
31.0ms
sinTheta_O
@inf
(* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)
18.0ms
sinTheta_i
@inf
(* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)

simplify480.0ms (2.6%)

Memory
46.4MiB live, 786.7MiB allocated
Algorithm
1×egg-herbie
Rules
13 042×lower-fma.f64
13 042×lower-fma.f32
8 046×lower-*.f64
8 046×lower-*.f32
5 726×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095816640
1316715782
0884715520
Stop Event
1×iter limit
1×node limit
Counts
744 → 740
Calls
Call 1
Inputs
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ 1/2 v)
(/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))) v)
(/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))) v)
(/ 1/2 v)
(* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2) v))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) 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)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
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(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(* cosTheta_O cosTheta_i)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 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)
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(* 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))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 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 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) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* 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 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) 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))))))
(/ 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))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (+ (log v) (log (/ 1 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))
(* -1 (+ (log v) (log (/ 1 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))
(* -1 (+ (log v) (log (/ 1 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))
(* -1 (+ (log v) (log (/ 1 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))
(log (/ 1 v))
(+ (log (/ 1 v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ (log (/ 1 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* -1/2 (/ (+ (* -2 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2)))))
(+ (log (/ 1 v)) (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/2 (/ (+ (* -2 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* -1/6 (/ (+ (* -6 (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (+ (* 1/2 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* sinTheta_O (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* 2 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 6 (* sinTheta_O (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (pow v 3))))))
(* -1 (+ (log -1) (* -1 (log (/ -1 v)))))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 v))))) (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 v))))) (* -1 (/ (+ (* 1/2 (/ (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 2 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* sinTheta_O sinTheta_i)) v)))
(+ (* -1 (+ (log -1) (* -1 (log (/ -1 v))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 2 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (/ (+ (* -2 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (+ (* 6 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 6 (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) v))) v)) (* sinTheta_O sinTheta_i)) v)))
(* -1 (log v))
(+ (* -1 (log v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ (* -1 (log v)) (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* -1/2 (* sinTheta_i (+ (* -2 (/ (+ (* -1 (/ (pow sinTheta_O 2) v)) (* 1/2 (/ (pow sinTheta_O 2) v))) v)) (* -1 (/ (pow sinTheta_O 2) (pow v 2)))))))))
(+ (* -1 (log v)) (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/2 (+ (* -2 (/ (+ (* -1 (/ (pow sinTheta_O 2) v)) (* 1/2 (/ (pow sinTheta_O 2) v))) v)) (* -1 (/ (pow sinTheta_O 2) (pow v 2))))) (* -1/6 (* sinTheta_i (+ (* -6 (/ (+ (* -1/6 (/ (pow sinTheta_O 3) (pow v 2))) (+ (* 1/2 (/ (pow sinTheta_O 3) (pow v 2))) (/ (* sinTheta_O (+ (* -1 (/ (pow sinTheta_O 2) v)) (* 1/2 (/ (pow sinTheta_O 2) v)))) v))) v)) (+ (* 2 (/ (pow sinTheta_O 3) (pow v 3))) (* 6 (/ (* sinTheta_O (+ (* -1 (/ (pow sinTheta_O 2) v)) (* 1/2 (/ (pow sinTheta_O 2) v)))) (pow v 2))))))))))))
(* -1 (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (log v))
(+ (* -1 (log v)) (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ (* -1 (log v)) (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* -1/2 (* sinTheta_O (+ (* -2 (/ (+ (* -1 (/ (pow sinTheta_i 2) v)) (* 1/2 (/ (pow sinTheta_i 2) v))) v)) (* -1 (/ (pow sinTheta_i 2) (pow v 2)))))))))
(+ (* -1 (log v)) (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/2 (+ (* -2 (/ (+ (* -1 (/ (pow sinTheta_i 2) v)) (* 1/2 (/ (pow sinTheta_i 2) v))) v)) (* -1 (/ (pow sinTheta_i 2) (pow v 2))))) (* -1/6 (* sinTheta_O (+ (* -6 (/ (+ (* -1/6 (/ (pow sinTheta_i 3) (pow v 2))) (+ (* 1/2 (/ (pow sinTheta_i 3) (pow v 2))) (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) v)) (* 1/2 (/ (pow sinTheta_i 2) v)))) v))) v)) (+ (* 2 (/ (pow sinTheta_i 3) (pow v 3))) (* 6 (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) v)) (* 1/2 (/ (pow sinTheta_i 2) v)))) (pow v 2))))))))))))
(* -1 (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(+ (log v) (log (/ 1 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(+ (log v) (log (/ 1 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(+ (log v) (log (/ 1 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(+ (log v) (log (/ 1 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
(* -1 (log (/ 1 v)))
(+ (* -1 (log (/ 1 v))) (/ (* sinTheta_O sinTheta_i) v))
(+ (* -1 (log (/ 1 v))) (+ (* 1/2 (/ (+ (* -2 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v)))
(+ (* -1 (log (/ 1 v))) (+ (* 1/6 (/ (+ (* -6 (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (+ (* 1/2 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* sinTheta_O (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (+ (* 2 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 6 (* sinTheta_O (* sinTheta_i (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))))) (pow v 3))) (+ (* 1/2 (/ (+ (* -2 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (/ (* sinTheta_O sinTheta_i) v))))
(+ (log -1) (* -1 (log (/ -1 v))))
(+ (log -1) (+ (* -1 (log (/ -1 v))) (/ (* sinTheta_O sinTheta_i) v)))
(+ (log -1) (+ (* -1 (log (/ -1 v))) (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 2 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v))) v))))
(+ (log -1) (+ (* -1 (log (/ -1 v))) (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (+ (* 6 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 6 (+ (* -1 (* sinTheta_O (* sinTheta_i (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) v)) (* 1/2 (+ (* -1 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 2 (+ (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) v))) v))))
(log v)
(+ (log v) (/ (* sinTheta_O sinTheta_i) v))
(+ (log v) (* sinTheta_i (+ (* 1/2 (* sinTheta_i (+ (* -2 (/ (+ (* -1 (/ (pow sinTheta_O 2) v)) (* 1/2 (/ (pow sinTheta_O 2) v))) v)) (* -1 (/ (pow sinTheta_O 2) (pow v 2)))))) (/ sinTheta_O v))))
(+ (log v) (* sinTheta_i (+ (* sinTheta_i (+ (* 1/6 (* sinTheta_i (+ (* -6 (/ (+ (* -1/6 (/ (pow sinTheta_O 3) (pow v 2))) (+ (* 1/2 (/ (pow sinTheta_O 3) (pow v 2))) (/ (* sinTheta_O (+ (* -1 (/ (pow sinTheta_O 2) v)) (* 1/2 (/ (pow sinTheta_O 2) v)))) v))) v)) (+ (* 2 (/ (pow sinTheta_O 3) (pow v 3))) (* 6 (/ (* sinTheta_O (+ (* -1 (/ (pow sinTheta_O 2) v)) (* 1/2 (/ (pow sinTheta_O 2) v)))) (pow v 2))))))) (* 1/2 (+ (* -2 (/ (+ (* -1 (/ (pow sinTheta_O 2) v)) (* 1/2 (/ (pow sinTheta_O 2) v))) v)) (* -1 (/ (pow sinTheta_O 2) (pow v 2))))))) (/ sinTheta_O v))))
(log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(log v)
(+ (log v) (/ (* sinTheta_O sinTheta_i) v))
(+ (log v) (* sinTheta_O (+ (* 1/2 (* sinTheta_O (+ (* -2 (/ (+ (* -1 (/ (pow sinTheta_i 2) v)) (* 1/2 (/ (pow sinTheta_i 2) v))) v)) (* -1 (/ (pow sinTheta_i 2) (pow v 2)))))) (/ sinTheta_i v))))
(+ (log v) (* sinTheta_O (+ (* sinTheta_O (+ (* 1/6 (* sinTheta_O (+ (* -6 (/ (+ (* -1/6 (/ (pow sinTheta_i 3) (pow v 2))) (+ (* 1/2 (/ (pow sinTheta_i 3) (pow v 2))) (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) v)) (* 1/2 (/ (pow sinTheta_i 2) v)))) v))) v)) (+ (* 2 (/ (pow sinTheta_i 3) (pow v 3))) (* 6 (/ (* sinTheta_i (+ (* -1 (/ (pow sinTheta_i 2) v)) (* 1/2 (/ (pow sinTheta_i 2) v)))) (pow v 2))))))) (* 1/2 (+ (* -2 (/ (+ (* -1 (/ (pow sinTheta_i 2) v)) (* 1/2 (/ (pow sinTheta_i 2) v))) v)) (* -1 (/ (pow sinTheta_i 2) (pow v 2))))))) (/ sinTheta_i v))))
(log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(log (/ v (exp (* -1 (/ (* sinTheta_O sinTheta_i) 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))
(* 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))))))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ 2 (* cosTheta_O cosTheta_i))
(+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))
(+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))
(+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))
(/ 2 (* cosTheta_O cosTheta_i))
(+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))
(+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))
(+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/ (* v (- (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 (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
Outputs
(/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (neg.f32 (/.f32 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 #s(literal 1 binary32) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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#s(literal 1/2 binary32)
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#s(literal 1/2 binary32)
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(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.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 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.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_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.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 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.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 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.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 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.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 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.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 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))) (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))) (*.f32 v (*.f32 v v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v))) 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 (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (neg.f32 (*.f32 sinTheta_O sinTheta_O))) (*.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))))) (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/2 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* 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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (neg.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_i (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (neg.f32 (*.f32 sinTheta_O sinTheta_O))) (*.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)))))))) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal 1/6 binary32) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O sinTheta_i))))) (*.f32 v (*.f32 v v))) (fma.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta_O (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (neg.f32 (*.f32 sinTheta_O sinTheta_O))) (*.f32 cosTheta_O (*.f32 cosTheta_i (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32))))) (*.f32 v v))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) (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 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32)))) v)) (neg.f32 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 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 sinTheta_O (*.f32 sinTheta_i (fma.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) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O sinTheta_i)))) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))))) v) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O) (*.f32 sinTheta_i sinTheta_i) #s(literal -1/6 binary32))))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v (*.f32 v 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)))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) sinTheta_O)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (+ (* -1 (/ (* sinTheta_O (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))) v)) (* 1/3 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 3))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (* -1/2 (+ (* -2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 (*.f32 sinTheta_i #s(literal -1/2 binary32)) (fma.f32 sinTheta_i (fma.f32 cosTheta_O (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32))))) (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))) #s(literal 1/3 binary32) (/.f32 (*.f32 sinTheta_O (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) sinTheta_O) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))))) (neg.f32 v)))) (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) sinTheta_O) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v (*.f32 v 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)))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 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)))))))
(fma.f32 sinTheta_O (fma.f32 (*.f32 sinTheta_O #s(literal -1/2 binary32)) (fma.f32 sinTheta_O (fma.f32 (neg.f32 sinTheta_i) (/.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) v) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) sinTheta_i)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) sinTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32)))))) (neg.f32 (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (* (exp (/ (* sinTheta_O sinTheta_i) v)) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/ 1/2 v)
(/.f32 #s(literal 1/2 binary32) v)
(/ 1/2 v)
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(/ 1/2 v)
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(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
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(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))) (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))) (*.f32 v (*.f32 v v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)) cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) cosTheta_O) (*.f32 v v)) (/.f32 (*.f32 (neg.f32 cosTheta_O) sinTheta_O) v)) cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) (*.f32 v (*.f32 v v))) (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O) cosTheta_O) (*.f32 v v))) (/.f32 (*.f32 (neg.f32 cosTheta_O) sinTheta_O) v)) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)) cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_O) (*.f32 v v)) (neg.f32 (/.f32 (*.f32 sinTheta_i cosTheta_O) v))) cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_O) (*.f32 v v)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) sinTheta_i) cosTheta_O)) (*.f32 v (*.f32 v v)))) (neg.f32 (/.f32 (*.f32 sinTheta_i cosTheta_O) v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)) cosTheta_O)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) cosTheta_O) sinTheta_i) (*.f32 v v)) (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)) cosTheta_O))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(+.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)) cosTheta_O) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) cosTheta_O) sinTheta_i) (*.f32 v v)) (*.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) (*.f32 v (*.f32 v v))))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)) cosTheta_O)
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) cosTheta_O) sinTheta_i) v))) 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 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O) (*.f32 sinTheta_i sinTheta_i)) cosTheta_O (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) sinTheta_i) (*.f32 sinTheta_O sinTheta_O))) v)) (neg.f32 v))) v))
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_O)
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 cosTheta_i (*.f32 (*.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 cosTheta_i (*.f32 (*.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 cosTheta_i (*.f32 (*.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 cosTheta_i (*.f32 (*.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 cosTheta_i (*.f32 (*.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 cosTheta_i (*.f32 (*.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 cosTheta_i (*.f32 (*.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 cosTheta_i (*.f32 (*.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 cosTheta_i (*.f32 (*.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 cosTheta_i (*.f32 (*.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 cosTheta_i (*.f32 (*.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 cosTheta_i (*.f32 (*.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 cosTheta_i (*.f32 (*.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 cosTheta_i (*.f32 (*.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 cosTheta_i (*.f32 (*.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 cosTheta_i (*.f32 (*.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 #s(literal 1/2 binary32) cosTheta_i) v)
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) cosTheta_i (*.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 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta_i #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))) (fma.f32 #s(literal 1/2 binary32) cosTheta_i (*.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v))))) 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 (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.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 cosTheta_i #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (fma.f32 #s(literal 1/2 binary32) cosTheta_i (*.f32 #s(literal -1/12 binary32) (/.f32 cosTheta_i (*.f32 v v))))) v)
(* 1/2 (/ cosTheta_i v))
(/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) v)
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) (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 (fma.f32 #s(literal -1/2 binary32) (+.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 #s(literal 1/12 binary32) cosTheta_i) (*.f32 v v))) (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 (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.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 cosTheta_i #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i))) (neg.f32 v))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(*.f32 v (+.f32 #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))))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
(*.f32 v (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 2 binary32))))
(* 2 v)
(*.f32 v #s(literal 2 binary32))
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(*.f32 v (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(neg.f32 (*.f32 v (+.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))))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(*.f32 (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/60 binary32) (/.f32 #s(literal 1/2520 binary32) (*.f32 v v))) (pow.f32 v #s(literal 4 binary32))) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))) (neg.f32 v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v (*.f32 v v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 cosTheta_O (neg.f32 (/.f32 (*.f32 sinTheta_O cosTheta_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 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) cosTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) sinTheta_O) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) cosTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32))))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v (*.f32 v v)))))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.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 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.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 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.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 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.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 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
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(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.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 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.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 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.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 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.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 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.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 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
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(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(* -1 (* v (+ (* -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)))))))
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(/ (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))) v)
(/.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) v)
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(* -1 (/ (- (* -1 (/ (+ (* -1 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1) v))
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(/.f32 #s(literal 1 binary32) v)
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(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))) (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))) (*.f32 v (*.f32 v v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_i) (*.f32 sinTheta_O sinTheta_i))) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i)) (*.f32 sinTheta_O (neg.f32 sinTheta_i))))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v (*.f32 v v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 cosTheta_O (neg.f32 (/.f32 (*.f32 sinTheta_O cosTheta_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 #s(literal 1/2 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O)) cosTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32))))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_i (fma.f32 sinTheta_i (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_i)) sinTheta_O) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_i (*.f32 sinTheta_O (*.f32 sinTheta_O sinTheta_O))) cosTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32))))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O cosTheta_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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_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)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v (*.f32 v v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (fma.f32 sinTheta_O (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) sinTheta_i) cosTheta_i))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (pow.f32 v #s(literal 5 binary32))))) (/.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i cosTheta_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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) cosTheta_i)) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
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(+.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 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 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 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) #s(literal 2 binary32)))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ 2 (* cosTheta_O cosTheta_i))
(/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))
(+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))
(+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i))))
(+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32))) cosTheta_i))))
(+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 cosTheta_O (*.f32 (pow.f32 v #s(literal 6 binary32)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32))) cosTheta_i)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)))))
(/ 2 (* cosTheta_O cosTheta_i))
(/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))
(+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (* 1/3 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 2))))))
(+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i))))
(+ (/ 1/60 (* cosTheta_O (* cosTheta_i (pow v 4)))) (+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (* 2 (/ 1 (* cosTheta_O cosTheta_i)))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i))) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32))) cosTheta_i))))
(+ (/ 1/3 (* cosTheta_O (* cosTheta_i (pow v 2)))) (+ (* 2 (/ 1 (* cosTheta_O cosTheta_i))) (+ (* 1/60 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 4))))) (* 1/2520 (/ 1 (* cosTheta_O (* cosTheta_i (pow v 6))))))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 cosTheta_O (*.f32 (*.f32 v v) cosTheta_i))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 cosTheta_O (*.f32 (pow.f32 v #s(literal 6 binary32)) cosTheta_i))) (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32))) cosTheta_i)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)))))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))
(/ (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))) (* cosTheta_O cosTheta_i))
(/.f32 (*.f32 v (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_O cosTheta_i))

rewrite338.0ms (1.8%)

Memory
-37.2MiB live, 482.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 670×lower-/.f64
3 650×lower-/.f32
3 494×lower-*.f64
3 470×lower-*.f32
1 298×frac-2neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049265
077258
1249247
21826246
37421246
08358244
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 1 697
Calls
Call 1
Inputs
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) 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) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_i cosTheta_O)
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1/2 binary32) v)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O)
(/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v)
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32))
(log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 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 (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
Outputs
(neg.f32 (neg.f32 #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))))
(neg.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v #s(literal 2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(neg.f32 (*.f32 (neg.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) v) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(neg.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)))
(neg.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))))
(neg.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (neg.f32 (/.f32 #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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))))
(neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 v v))))
(neg.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v v)))))
(neg.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (/.f32 #s(literal -1 binary32) v)))
(neg.f32 (/.f32 (neg.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(neg.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))))
(neg.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) v) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))))
(neg.f32 (/.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))))
(neg.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v #s(literal -2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (neg.f32 v)))
(neg.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))))
(neg.f32 (/.f32 (neg.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))))
(neg.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32)))) v))
(exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log.f32 #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) #s(literal -1 binary32))
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(/.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 v cosTheta_i)) cosTheta_O)
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))) (neg.f32 (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (*.f32 #s(literal 2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_O) cosTheta_i)
(/.f32 (/.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_i) cosTheta_O)
(/.f32 (neg.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 v cosTheta_i))) (neg.f32 cosTheta_O))
(/.f32 (neg.f32 (/.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_O)) (neg.f32 cosTheta_i))
(/.f32 (neg.f32 (/.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_i)) (neg.f32 cosTheta_O))
(*.f32 v (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 cosTheta_i cosTheta_O)))
(*.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(*.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 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 v #s(literal -2 binary32))) (*.f32 cosTheta_i cosTheta_O)))
(*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O)))) #s(literal 1 binary32))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (neg.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))))
(*.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)))
(*.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 cosTheta_i cosTheta_O)) v)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) #s(literal 2 binary32))
(*.f32 (/.f32 v cosTheta_i) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) cosTheta_O))
(*.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 v cosTheta_i)) (/.f32 #s(literal 1 binary32) cosTheta_O))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal -2 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta_i cosTheta_O)))
(*.f32 (neg.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)))
(*.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) cosTheta_O) (/.f32 v cosTheta_i))
(*.f32 (/.f32 v cosTheta_O) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) cosTheta_i))
(*.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) cosTheta_i) (/.f32 v cosTheta_O))
(*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal -2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (/.f32 v (*.f32 cosTheta_i cosTheta_O))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (/.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_O) (/.f32 #s(literal 1 binary32) cosTheta_i))
(*.f32 (/.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) cosTheta_i) (/.f32 #s(literal 1 binary32) cosTheta_O))

eval356.0ms (1.9%)

Memory
46.2MiB live, 392.2MiB allocated
Compiler

Compiled 57 308 to 3 837 computations (93.3% saved)

prune615.0ms (3.3%)

Memory
-9.7MiB live, 723.9MiB allocated
Pruning

75 alts after pruning (68 fresh and 7 done)

PrunedKeptTotal
New2 703332 736
Fresh293564
Picked145
Done033
Total2 733752 808
Accuracy
100.0%
Counts
2 808 → 75
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.3%
(/.f32 (pow.f32 (pow.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
92.3%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i))))))
✓92.3%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
68.0%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 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))) #s(literal 2 binary32))))
92.3%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i))))
92.2%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
92.2%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (*.f32 (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
92.2%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O))) (/.f32 #s(literal 1 binary32) cosTheta_i)))
88.5%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(literal -1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
60.1%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
63.8%
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v))))))
97.9%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
97.7%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
97.5%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))))
98.3%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.4%
(/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))
98.4%
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 v v)))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
98.6%
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
59.5%
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))))
92.2%
(/.f32 (exp.f32 (*.f32 (*.f32 (*.f32 (log.f32 (*.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))))) #s(literal -1 binary32))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
90.5%
(/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
92.1%
(/.f32 (exp.f32 #s(approx (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1) (neg.f32 (log.f32 v)))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
98.3%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
91.8%
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)))
92.1%
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))))))
92.4%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))) cosTheta_i) (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O)))
92.3%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O))))))
60.0%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))))
92.2%
(*.f32 (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))) #s(literal -1/2 binary32)))
92.3%
(*.f32 (pow.f32 (*.f32 (/.f32 v cosTheta_O) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i)) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
✓98.0%
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
70.6%
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) #s(literal 2 binary32))))
59.6%
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) #s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) cosTheta_i)))
98.5%
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
98.4%
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_i cosTheta_O))
98.6%
(*.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O))
60.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
98.5%
(*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))))
94.1%
(*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))
98.5%
(*.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v v)) (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) cosTheta_i)
98.4%
(*.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/2 binary32))
98.2%
(*.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
98.1%
(*.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
98.5%
(*.f32 (*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
98.5%
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (/.f32 (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))))
98.5%
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
98.7%
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
✓98.5%
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
70.7%
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (*.f32 v #s(literal 2 binary32))))))
64.9%
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) (*.f32 v #s(literal 2 binary32))))))
64.9%
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
59.5%
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
70.7%
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i #s(approx (* v (* (sinh (/ 1 v)) (* v 2))) (neg.f32 (*.f32 v (+.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)))))))
98.6%
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
94.9%
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))) cosTheta_i)) #s(literal -1 binary32))))
98.4%
(*.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_O)
59.5%
(*.f32 (*.f32 cosTheta_i #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O)
98.6%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(approx (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) (/.f32 #s(literal 1/2 binary32) v)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v #s(literal 2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.4%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))))
98.4%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.4%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))))
98.7%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
✓98.8%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
70.7%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
98.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (*.f32 (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (exp.f32 (*.f32 (log.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -1 binary32)))))
59.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
✓59.5%
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
98.5%
(*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
59.5%
(*.f32 (*.f32 cosTheta_O #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i)
✓59.6%
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
98.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
✓59.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
59.5%
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
Compiler

Compiled 5 442 to 1 928 computations (64.6% saved)

regimes385.0ms (2.1%)

Memory
-20.0MiB live, 807.4MiB allocated
Counts
167 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
(*.f32 (*.f32 cosTheta_O #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) #s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) cosTheta_i)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32)))) v))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i #s(approx (* v (* (sinh (/ 1 v)) (* v 2))) (neg.f32 (*.f32 v (+.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)))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32)) (*.f32 v v)) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) v)))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (*.f32 v #s(literal 2 binary32))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (*.f32 v v))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 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))) #s(literal 2 binary32))))
#s(approx (* (pow (* (* (/ v (* cosTheta_i cosTheta_O)) (* 2 (sinh (/ 1 v)))) (exp (/ (* sinTheta_i sinTheta_O) v))) -1) (/ 1 v)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v)))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32)))) v)) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/12 binary32) (fma.f32 sinTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_i (neg.f32 sinTheta_O)))) v) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/4 binary32) #s(literal 1/12 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O))
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
(*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v #s(literal 2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v v)) (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) cosTheta_i)
(*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))))
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))))))
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 v v)))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v #s(literal -2 binary32)))) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(approx (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) (/.f32 #s(literal 1/2 binary32) v)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 v v)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32)))) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/2 binary32))
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))) (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))) cosTheta_i) (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O)))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O))) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) #s(literal 1 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (/.f32 cosTheta_O (*.f32 (*.f32 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))))) cosTheta_i)
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 v v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (/.f32 cosTheta_O (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O (*.f32 v v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (*.f32 (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 (pow.f32 (*.f32 (/.f32 v cosTheta_O) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i)) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) 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 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (/.f32 v (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))))
(*.f32 (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) v))
(/.f32 (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 v #s(literal 2 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_i (neg.f32 cosTheta_O)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 v #s(literal -2 binary32))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 v (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 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (*.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32)) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 v (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (*.f32 (/.f32 v cosTheta_i) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_O))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 v #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) 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)) (/.f32 #s(literal 1 binary32) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (-.f32 (/.f32 cosTheta_i (*.f32 v v)) (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (*.f32 v (*.f32 v v))))))
(/.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (exp.f32 #s(approx (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1) (neg.f32 (log.f32 v)))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (*.f32 (log.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))))) #s(literal -1 binary32))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (exp.f32 (*.f32 (log.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal -1 binary32)))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))) cosTheta_i)) #s(literal -1 binary32))))
(/.f32 (pow.f32 (pow.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(literal -1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (*.f32 (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32)) (pow.f32 (*.f32 v #s(literal 2 binary32)) #s(literal -1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (exp.f32 (fma.f32 (log.f32 v) #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 (pow.f32 v #s(literal -1/2 binary32)) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))))
(/.f32 (exp.f32 (fma.f32 (log.f32 v) #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (*.f32 (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal -1/2 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (+.f32 (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (neg.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) #s(approx (exp (* (/ -1 v) 2)) #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (exp.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 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))) cosTheta_i)) #s(literal -1 binary32))))
(/.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 cosTheta_i cosTheta_O))) #s(literal -1 binary32))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (+.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal -1 binary32))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal -1 binary32))) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) v))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (/.f32 (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (exp.f32 (/.f32 #s(literal -2 binary32) v)))) (/.f32 (cosh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
(*.f32 (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))) #s(literal -1/2 binary32)))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) v) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (pow.f32 (E.f32) (/.f32 #s(literal 2 binary32) v)) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (E.f32) (E.f32)) (/.f32 #s(literal 1 binary32) v)) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1/2 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) v))
(/.f32 (exp.f32 (*.f32 (*.f32 (*.f32 (log.f32 (*.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) (log.f32 (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))))) #s(literal -1 binary32))) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (-.f32 (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 v (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (*.f32 (exp.f32 (/.f32 #s(literal -2 binary32) v)) (/.f32 v (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 cosTheta_i cosTheta_O))))
(*.f32 (pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) #s(literal -1/2 binary32)) (pow.f32 (*.f32 (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) #s(literal -1/2 binary32)))
Outputs
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Calls

8 calls:

59.0ms
(/.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))
52.0ms
v
48.0ms
sinTheta_O
45.0ms
sinTheta_i
45.0ms
cosTheta_i
Results
AccuracySegmentsBranch
98.8%1cosTheta_i
98.8%1cosTheta_O
98.8%1sinTheta_i
98.8%1sinTheta_O
98.8%1v
98.8%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.8%1(*.f32 sinTheta_i sinTheta_O)
98.8%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes249.0ms (1.3%)

Memory
21.5MiB live, 533.0MiB allocated
Counts
114 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
(*.f32 (*.f32 cosTheta_O #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) #s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) cosTheta_i)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32)))) v))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i #s(approx (* v (* (sinh (/ 1 v)) (* v 2))) (neg.f32 (*.f32 v (+.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)))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32)) (*.f32 v v)) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) v)))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (*.f32 v #s(literal 2 binary32))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (*.f32 v v))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 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))) #s(literal 2 binary32))))
#s(approx (* (pow (* (* (/ v (* cosTheta_i cosTheta_O)) (* 2 (sinh (/ 1 v)))) (exp (/ (* sinTheta_i sinTheta_O) v))) -1) (/ 1 v)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v)))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32)))) v)) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/12 binary32) (fma.f32 sinTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_i (neg.f32 sinTheta_O)))) v) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/4 binary32) #s(literal 1/12 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O))
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
(*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v #s(literal 2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v v)) (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) cosTheta_i)
(*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))))
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))))))
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 v v)))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v #s(literal -2 binary32)))) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(approx (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) (/.f32 #s(literal 1/2 binary32) v)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 v v)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32)))) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal 1/2 binary32) v))))
(*.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 1/2 binary32))
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O)))) (/.f32 #s(literal 1/2 binary32) v))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))) (*.f32 v #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1 binary32) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(*.f32 (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))) cosTheta_i) (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O)))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_O))) (/.f32 #s(literal 1 binary32) cosTheta_i)))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)) #s(literal 1 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 v (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 cosTheta_i cosTheta_O))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_i (/.f32 v cosTheta_O))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta_O (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (/.f32 cosTheta_O (*.f32 (*.f32 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))))) cosTheta_i)
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 v v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_i) (/.f32 cosTheta_O (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 cosTheta_i (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_O (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))))
(*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O (*.f32 v v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (*.f32 (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_O)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))
(*.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) v) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 (pow.f32 (*.f32 (/.f32 v cosTheta_O) (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 2 binary32) cosTheta_i)) #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) 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 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) #s(literal 1/2 binary32)) (*.f32 (/.f32 (*.f32 v v) (*.f32 cosTheta_i cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
Outputs
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Calls

8 calls:

32.0ms
sinTheta_O
32.0ms
(*.f32 cosTheta_i cosTheta_O)
31.0ms
sinTheta_i
31.0ms
cosTheta_i
31.0ms
cosTheta_O
Results
AccuracySegmentsBranch
98.8%1cosTheta_O
98.8%1sinTheta_O
98.8%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.8%1(*.f32 sinTheta_i sinTheta_O)
98.8%1(*.f32 cosTheta_i cosTheta_O)
98.8%1cosTheta_i
98.8%1sinTheta_i
98.8%1v
Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes396.0ms (2.1%)

Memory
-159.4MiB live, 191.9MiB allocated
Counts
62 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
(*.f32 (*.f32 cosTheta_O #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) #s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) cosTheta_i)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32)))) v))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i #s(approx (* v (* (sinh (/ 1 v)) (* v 2))) (neg.f32 (*.f32 v (+.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)))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32)) (*.f32 v v)) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) v)))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (*.f32 v #s(literal 2 binary32))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (*.f32 v v))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 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))) #s(literal 2 binary32))))
#s(approx (* (pow (* (* (/ v (* cosTheta_i cosTheta_O)) (* 2 (sinh (/ 1 v)))) (exp (/ (* sinTheta_i sinTheta_O) v))) -1) (/ 1 v)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v)))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32)))) v)) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/12 binary32) (fma.f32 sinTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_i (neg.f32 sinTheta_O)))) v) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/4 binary32) #s(literal 1/12 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O))
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
(*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v #s(literal 2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v v)) (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) cosTheta_i)
(*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))))
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (/.f32 v (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32)))))))
(/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 v v)))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v #s(literal -2 binary32)))) (*.f32 v (sinh.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(approx (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) (/.f32 #s(literal 1/2 binary32) v)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (*.f32 v v)) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))))
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32)))) (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Outputs
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
Calls

8 calls:

255.0ms
cosTheta_i
30.0ms
sinTheta_O
26.0ms
(/.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))
19.0ms
cosTheta_O
16.0ms
v
Results
AccuracySegmentsBranch
98.6%1cosTheta_i
98.6%1cosTheta_O
98.6%1sinTheta_i
98.6%1sinTheta_O
98.6%1v
98.6%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.6%1(*.f32 sinTheta_i sinTheta_O)
98.6%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes142.0ms (0.8%)

Memory
11.0MiB live, 250.4MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
(*.f32 (*.f32 cosTheta_O #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) #s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) cosTheta_i)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32)))) v))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i #s(approx (* v (* (sinh (/ 1 v)) (* v 2))) (neg.f32 (*.f32 v (+.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)))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32)) (*.f32 v v)) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) v)))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (*.f32 v #s(literal 2 binary32))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (*.f32 v v))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 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))) #s(literal 2 binary32))))
#s(approx (* (pow (* (* (/ v (* cosTheta_i cosTheta_O)) (* 2 (sinh (/ 1 v)))) (exp (/ (* sinTheta_i sinTheta_O) v))) -1) (/ 1 v)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v)))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32)))) v)) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/12 binary32) (fma.f32 sinTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_i (neg.f32 sinTheta_O)))) v) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/4 binary32) #s(literal 1/12 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O))
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
(*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v #s(literal 2 binary32))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Outputs
(*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
Calls

8 calls:

24.0ms
cosTheta_O
19.0ms
(*.f32 cosTheta_i cosTheta_O)
18.0ms
sinTheta_O
18.0ms
sinTheta_i
17.0ms
(/.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))
Results
AccuracySegmentsBranch
98.6%1cosTheta_i
98.6%1cosTheta_O
98.6%1sinTheta_i
98.6%1sinTheta_O
98.6%1v
98.6%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.6%1(*.f32 sinTheta_i sinTheta_O)
98.6%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes160.0ms (0.9%)

Memory
-10.3MiB live, 185.4MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
(*.f32 (*.f32 cosTheta_O #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) #s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) cosTheta_i)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32)))) v))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i #s(approx (* v (* (sinh (/ 1 v)) (* v 2))) (neg.f32 (*.f32 v (+.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)))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32)) (*.f32 v v)) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) v)))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (*.f32 v #s(literal 2 binary32))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (*.f32 v v))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 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))) #s(literal 2 binary32))))
#s(approx (* (pow (* (* (/ v (* cosTheta_i cosTheta_O)) (* 2 (sinh (/ 1 v)))) (exp (/ (* sinTheta_i sinTheta_O) v))) -1) (/ 1 v)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v)))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32)))) v)) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/12 binary32) (fma.f32 sinTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_i (neg.f32 sinTheta_O)))) v) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/4 binary32) #s(literal 1/12 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O))
(*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))) (*.f32 cosTheta_i cosTheta_O))
(/.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
Outputs
(*.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O))
Calls

8 calls:

60.0ms
cosTheta_i
17.0ms
sinTheta_O
16.0ms
cosTheta_O
16.0ms
v
14.0ms
(*.f32 sinTheta_i sinTheta_O)
Results
AccuracySegmentsBranch
98.6%1cosTheta_i
98.6%1cosTheta_O
98.6%1sinTheta_i
98.6%1sinTheta_O
98.6%1v
98.6%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.6%1(*.f32 sinTheta_i sinTheta_O)
98.6%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes111.0ms (0.6%)

Memory
19.8MiB live, 139.2MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
(*.f32 (*.f32 cosTheta_O #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) #s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) cosTheta_i)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32)))) v))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i #s(approx (* v (* (sinh (/ 1 v)) (* v 2))) (neg.f32 (*.f32 v (+.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)))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32)) (*.f32 v v)) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) v)))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (*.f32 v #s(literal 2 binary32))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (*.f32 v v))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 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))) #s(literal 2 binary32))))
#s(approx (* (pow (* (* (/ v (* cosTheta_i cosTheta_O)) (* 2 (sinh (/ 1 v)))) (exp (/ (* sinTheta_i sinTheta_O) v))) -1) (/ 1 v)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v)))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32)))) v)) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/12 binary32) (fma.f32 sinTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_i (neg.f32 sinTheta_O)))) v) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/4 binary32) #s(literal 1/12 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
Outputs
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
Calls

8 calls:

25.0ms
sinTheta_i
18.0ms
(*.f32 sinTheta_i sinTheta_O)
13.0ms
cosTheta_O
11.0ms
cosTheta_i
11.0ms
sinTheta_O
Results
AccuracySegmentsBranch
98.5%1sinTheta_i
98.5%1v
98.5%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.5%1(*.f32 sinTheta_i sinTheta_O)
98.5%1(*.f32 cosTheta_i cosTheta_O)
98.5%1cosTheta_i
98.5%1cosTheta_O
98.5%1sinTheta_O
Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes93.0ms (0.5%)

Memory
15.4MiB live, 167.3MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
(*.f32 (*.f32 cosTheta_O #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) #s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) cosTheta_i)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32)))) v))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i #s(approx (* v (* (sinh (/ 1 v)) (* v 2))) (neg.f32 (*.f32 v (+.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)))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32)) (*.f32 v v)) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) v)))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (*.f32 v #s(literal 2 binary32))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (*.f32 v v))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 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))) #s(literal 2 binary32))))
#s(approx (* (pow (* (* (/ v (* cosTheta_i cosTheta_O)) (* 2 (sinh (/ 1 v)))) (exp (/ (* sinTheta_i sinTheta_O) v))) -1) (/ 1 v)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v)))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32)))) v)) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/12 binary32) (fma.f32 sinTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_i (neg.f32 sinTheta_O)))) v) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/4 binary32) #s(literal 1/12 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_O)
Outputs
(*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
Calls

8 calls:

13.0ms
sinTheta_i
12.0ms
v
12.0ms
(/.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))
11.0ms
cosTheta_i
11.0ms
sinTheta_O
Results
AccuracySegmentsBranch
98.5%1cosTheta_i
98.5%1sinTheta_i
98.5%1sinTheta_O
98.5%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.5%1(*.f32 sinTheta_i sinTheta_O)
98.5%1(*.f32 cosTheta_i cosTheta_O)
98.5%1cosTheta_O
98.5%1v
Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes90.0ms (0.5%)

Memory
-15.1MiB live, 149.2MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
(*.f32 (*.f32 cosTheta_O #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) #s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) cosTheta_i)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32)))) v))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i #s(approx (* v (* (sinh (/ 1 v)) (* v 2))) (neg.f32 (*.f32 v (+.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)))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32)) (*.f32 v v)) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) v)))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (*.f32 v #s(literal 2 binary32))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/6 binary32))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i (*.f32 sinTheta_i (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)))) (*.f32 v v))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 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))) #s(literal 2 binary32))))
#s(approx (* (pow (* (* (/ v (* cosTheta_i cosTheta_O)) (* 2 (sinh (/ 1 v)))) (exp (/ (* sinTheta_i sinTheta_O) v))) -1) (/ 1 v)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.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 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal -1/2 binary32))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32))) v))) v)) (neg.f32 v)))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)))) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/2 binary32)) (/.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal -1/2 binary32))) (/.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/6 binary32)))) v)) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (- (exp (* (/ 1 v) 2)) (exp (* (/ -1 v) 2))) 1) (* (* 2 (cosh (/ 1 v))) (/ 1 v)))) (/.f32 (fma.f32 cosTheta_O (*.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 cosTheta_O cosTheta_i)) (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal -1/6 binary32)))) (*.f32 v v)) (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))))) v))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (fma.f32 sinTheta_O (*.f32 sinTheta_i #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/12 binary32) (fma.f32 sinTheta_O (*.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 sinTheta_i (*.f32 sinTheta_i sinTheta_i))) (*.f32 sinTheta_i (neg.f32 sinTheta_O)))) v) (fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))) #s(literal -1/4 binary32) #s(literal 1/12 binary32))) (neg.f32 v))) (neg.f32 v)) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
Outputs
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (*.f32 v #s(literal 2 binary32))))))
Calls

8 calls:

16.0ms
cosTheta_i
12.0ms
sinTheta_i
11.0ms
v
10.0ms
sinTheta_O
10.0ms
cosTheta_O
Results
AccuracySegmentsBranch
70.7%1sinTheta_i
70.7%1sinTheta_O
70.7%1(*.f32 sinTheta_i sinTheta_O)
70.7%1cosTheta_i
70.7%1cosTheta_O
70.7%1v
70.7%1(*.f32 cosTheta_i cosTheta_O)
70.7%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))
Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes85.0ms (0.5%)

Memory
20.6MiB live, 97.3MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
(*.f32 (*.f32 cosTheta_O #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) #s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) cosTheta_i)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32)))) v))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i #s(approx (* v (* (sinh (/ 1 v)) (* v 2))) (neg.f32 (*.f32 v (+.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)))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) #s(literal 1/6 binary32)) v))) v) #s(literal -1/2 binary32)) (neg.f32 v))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) #s(literal 1/2 binary32)) #s(literal -1/6 binary32)) (*.f32 v v)) (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) v)))
Outputs
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i #s(approx (* v (* (sinh (/ 1 v)) (* v 2))) (neg.f32 (*.f32 v (+.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)))))))
Calls

8 calls:

23.0ms
(*.f32 sinTheta_i sinTheta_O)
19.0ms
(*.f32 cosTheta_i cosTheta_O)
7.0ms
v
7.0ms
sinTheta_i
7.0ms
cosTheta_O
Results
AccuracySegmentsBranch
70.7%1sinTheta_O
70.7%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))
70.7%1(*.f32 cosTheta_i cosTheta_O)
70.7%1cosTheta_i
70.7%1sinTheta_i
70.7%1v
70.7%1(*.f32 sinTheta_i sinTheta_O)
70.7%1cosTheta_O
Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes55.0ms (0.3%)

Memory
-3.1MiB live, 113.4MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
(*.f32 (*.f32 cosTheta_O #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) #s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) cosTheta_i)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32)))) v))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) (*.f32 v #s(literal 2 binary32))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i)) (/.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v))))))
Outputs
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) (*.f32 v #s(literal 2 binary32))))))
Calls

8 calls:

10.0ms
cosTheta_O
7.0ms
sinTheta_i
7.0ms
(*.f32 cosTheta_i cosTheta_O)
6.0ms
v
6.0ms
cosTheta_i
Results
AccuracySegmentsBranch
64.9%1sinTheta_O
64.9%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
64.9%1(*.f32 cosTheta_i cosTheta_O)
64.9%1cosTheta_i
64.9%1sinTheta_i
64.9%1v
64.9%1(*.f32 sinTheta_i sinTheta_O)
64.9%1cosTheta_O
Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes50.0ms (0.3%)

Memory
-3.1MiB live, 114.0MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
(*.f32 (*.f32 cosTheta_O #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) #s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) cosTheta_i)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (fma.f32 (/.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_i)) v) #s(literal -1/2 binary32) (*.f32 cosTheta_i #s(literal 1/2 binary32)))) v))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (*.f32 (/.f32 v (*.f32 cosTheta_i cosTheta_O)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
Outputs
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
Calls

8 calls:

9.0ms
sinTheta_i
7.0ms
v
6.0ms
(*.f32 cosTheta_i cosTheta_O)
6.0ms
cosTheta_O
6.0ms
sinTheta_O
Results
AccuracySegmentsBranch
64.9%1sinTheta_O
64.9%1v
64.9%1(*.f32 sinTheta_i sinTheta_O)
64.9%1cosTheta_O
64.9%1sinTheta_i
64.9%1cosTheta_i
64.9%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
64.9%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes40.0ms (0.2%)

Memory
19.0MiB live, 94.3MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
(*.f32 (*.f32 cosTheta_O #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
(*.f32 (/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) v) #s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) cosTheta_i)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))))
Outputs
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
Calls

8 calls:

6.0ms
cosTheta_O
5.0ms
(/.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))
5.0ms
cosTheta_i
5.0ms
v
5.0ms
sinTheta_i
Results
AccuracySegmentsBranch
60.1%1sinTheta_O
60.1%1v
60.1%1(*.f32 sinTheta_i sinTheta_O)
60.1%1cosTheta_O
60.1%1sinTheta_i
60.1%1cosTheta_i
60.1%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))
60.1%1(*.f32 cosTheta_i cosTheta_O)
Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes32.0ms (0.2%)

Memory
-11.0MiB live, 66.8MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
(*.f32 (*.f32 cosTheta_O #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_i)
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (/ 1/2 (* v (sinh (/ 1 v))))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_i #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) #s(literal 2 binary32)))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal 1 binary32) #s(approx (/ (/ (/ 1/2 (* v (exp (/ (* sinTheta_i sinTheta_O) v)))) v) (sinh (/ 1 v))) (/.f32 #s(literal 1/2 binary32) v))))
Outputs
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
Calls

8 calls:

8.0ms
(/.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))
4.0ms
sinTheta_i
3.0ms
v
3.0ms
sinTheta_O
3.0ms
cosTheta_i
Results
AccuracySegmentsBranch
59.6%1sinTheta_O
59.6%1cosTheta_O
59.6%1sinTheta_i
59.6%1(*.f32 sinTheta_i sinTheta_O)
59.6%1v
59.6%1cosTheta_i
59.6%1(*.f32 cosTheta_i cosTheta_O)
59.6%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))
Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes14.0ms (0.1%)

Memory
-2.7MiB live, 35.3MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
Outputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
Calls

8 calls:

3.0ms
v
2.0ms
cosTheta_i
2.0ms
sinTheta_O
2.0ms
(/.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))
2.0ms
sinTheta_i
Results
AccuracySegmentsBranch
59.6%1sinTheta_O
59.6%1cosTheta_i
59.6%1cosTheta_O
59.6%1v
59.6%1sinTheta_i
59.6%1(*.f32 sinTheta_i sinTheta_O)
59.6%1(*.f32 cosTheta_i cosTheta_O)
59.6%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))
Compiler

Compiled 73 to 56 computations (23.3% saved)

regimes42.0ms (0.2%)

Memory
5.3MiB live, 38.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

8 calls:

33.0ms
sinTheta_i
1.0ms
(/.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))
1.0ms
cosTheta_O
1.0ms
cosTheta_i
1.0ms
(*.f32 sinTheta_i sinTheta_O)
Results
AccuracySegmentsBranch
59.5%1sinTheta_O
59.5%1cosTheta_i
59.5%1cosTheta_O
59.5%1sinTheta_i
59.5%1v
59.5%1(*.f32 sinTheta_i sinTheta_O)
59.5%1(*.f32 cosTheta_i cosTheta_O)
59.5%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))
Compiler

Compiled 73 to 56 computations (23.3% saved)

simplify111.0ms (0.6%)

Memory
2.9MiB live, 54.3MiB allocated
Algorithm
1×egg-herbie
Rules
920×distribute-lft-neg-in_binary32
494×neg-mul-1_binary32
474×unsub-neg_binary32
446×neg-sub0_binary32
330×sub-neg_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0127440
1194438
2231437
3289436
4370436
5470436
6617436
7922436
81396436
91890436
102272436
112525436
122662436
132720436
142745436
152760436
162766436
172767436
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(*.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i #s(approx (* v (* (sinh (/ 1 v)) (* v 2))) (neg.f32 (*.f32 v (+.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)))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
Outputs
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_O #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 cosTheta_i (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))
(*.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))) (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O))
(*.f32 (*.f32 cosTheta_O #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 cosTheta_O #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))) cosTheta_i)
(*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v #s(literal 2 binary32)))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v))) #s(literal -1 binary32)) (neg.f32 v))) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 cosTheta_O #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 v (*.f32 (*.f32 v #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 v v))) (*.f32 v v)) #s(literal 1 binary32)) v))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i #s(approx (* v (* (sinh (/ 1 v)) (* v 2))) (neg.f32 (*.f32 v (+.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)))))))
(*.f32 (*.f32 cosTheta_O #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) (/.f32 cosTheta_i #s(approx (* v (* (sinh (/ 1 v)) (* v 2))) (*.f32 v (-.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 v v))) (*.f32 v v)) #s(literal -2 binary32))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)) (*.f32 v #s(literal 2 binary32))))))
(*.f32 (*.f32 cosTheta_O #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 v (*.f32 (*.f32 v #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v))))))
(*.f32 (*.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(*.f32 (*.f32 cosTheta_O #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 v #s(approx (* (sinh (/ 1 v)) (* v 2)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_O cosTheta_i))))
(/.f32 (/.f32 #s(approx (exp (/ (* sinTheta_i sinTheta_O) (neg v))) #s(literal 1 binary32)) v) #s(approx (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2)) (/.f32 #s(literal 2 binary32) (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (/ (exp (/ (* sinTheta_i sinTheta_O) (neg v))) v) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (/.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i #s(literal 1/2 binary32))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i cosTheta_O)) v))
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (exp (* (log (/ v (exp (/ (* sinTheta_i sinTheta_O) (neg v))))) -1)) (* (/ v (* cosTheta_i cosTheta_O)) (* (sinh (/ 1 v)) 2))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))

soundness1.7s (9.2%)

Memory
-35.6MiB live, 1 293.5MiB allocated
Rules
13 042×lower-fma.f64
13 042×lower-fma.f32
10 374×lower-fma.f64
10 374×lower-fma.f32
9 714×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095816640
1316715782
0884715520
097318301
1334417445
0841917195
03344121
110404000
238273767
370033766
080493724
082513887
1262413371
0822013227
049265
077258
1249247
21826246
37421246
08358244
051305
093315
1296249
21971249
08447249
046270
079269
1232261
21496261
37250261
08041261
01970
03170
18968
252868
3682568
0806568
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter 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 768 to 481 computations (37.4% saved)

preprocess420.0ms (2.3%)

Memory
33.5MiB live, 503.5MiB allocated
Remove

(sort sinTheta_i sinTheta_O)

(sort cosTheta_i cosTheta_O)

(negabs cosTheta_i)

(negabs cosTheta_O)

Compiler

Compiled 3 552 to 2 336 computations (34.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...