HairBSDF, Mp, upper

Time bar (total: 9.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze599.0ms (6.2%)

Memory
-24.5MiB live, 693.3MiB allocated; 102ms collecting garbage
Algorithm
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)

sample2.3s (23.4%)

Memory
107.3MiB live, 2 375.9MiB allocated; 416ms collecting garbage
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 330.0ms (26.8% of total)
const: 233.0ms (19% of total)
ival-div: 212.0ms (17.2% of total)
ival-<=: 188.0ms (15.3% of total)
ival-sinh: 79.0ms (6.4% of total)
ival-exp: 63.0ms (5.1% of total)
ival-and: 50.0ms (4.1% of total)
ival-neg: 35.0ms (2.8% of total)
ival-<: 18.0ms (1.5% of total)
exact: 14.0ms (1.1% of total)
adjust: 3.0ms (0.2% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain171.0ms (1.8%)

Memory
8.0MiB live, 293.2MiB allocated; 18ms collecting garbage
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))
02(-1.78977913404929e-31 -9.36051325339804e-9 -1.532143264663206e-15 -1.370605959457083e-31 0.14488396048545837)0-(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
04(3.6425334970502377e-11 -8.757882764064253e-36 8.627729664649627e-21 1.0275477979181904e-29 0.38182371854782104)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/n40
(*.f32 cosTheta_i cosTheta_O)underflow81
/.f32(/.f32 (*.f32 sinTheta_i sinTheta_O) v)u/n20
(*.f32 sinTheta_i sinTheta_O)underflow84
Confusion
Predicted +Predicted -
+00
-6250
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-60250
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0250
16
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
66.0ms512×0valid
Compiler

Compiled 210 to 61 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 17.0ms (37.6% of total)
ival-div: 13.0ms (28.8% of total)
ival-sinh: 8.0ms (17.7% of total)
ival-exp: 4.0ms (8.9% of total)
ival-neg: 2.0ms (4.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess287.0ms (3%)

Memory
34.2MiB live, 297.9MiB allocated; 85ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0139465
1575449
22251420
01922
03122
17122
222921
3119521
4770521
0800321
Stop Event
iter limit
node limit
iter limit
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 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
Symmetry

(negabs cosTheta_O)

(negabs cosTheta_i)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 22 to 19 computations (13.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.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 22 to 19 computations (13.6% saved)

simplify250.0ms (2.6%)

Memory
17.4MiB live, 123.5MiB allocated; 132ms collecting garbage
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-diff0
(/.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))
cost-diff1
(*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01992
03192
17192
222990
3119590
4770590
0800390
Stop Event
iter limit
node limit
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 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) (sinh.f32 (/.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))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
v
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.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)

localize45.0ms (0.5%)

Memory
-1.3MiB live, 47.0MiB allocated; 9ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.23179628907376804
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy0.2486788206944218
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy0.25
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy0.8115890588712007
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Samples
35.0ms256×0valid
Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 11.0ms (45.4% of total)
ival-mult: 7.0ms (28.9% of total)
ival-exp: 2.0ms (8.2% of total)
ival-sinh: 2.0ms (8.2% of total)
ival-neg: 1.0ms (4.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series60.0ms (0.6%)

Memory
23.4MiB live, 68.1MiB allocated; 5ms collecting garbage
Counts
8 → 53
Calls
Call 1
Inputs
(*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
Outputs
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* cosTheta_i cosTheta_O) v) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 1))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole 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))))))))))
#s(approx (neg (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (/ (* sinTheta_i sinTheta_O) v) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) v)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (exp (neg (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 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))))))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 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))))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ 1 v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 2))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (* 1/3 (/ 1 (pow v 2))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 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)))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))))
Calls

15 calls:

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

simplify820.0ms (8.5%)

Memory
-156.9MiB live, 167.0MiB allocated; 1.1s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03982180
113172115
256322040
081661984
Stop Event
iter limit
node limit
Counts
53 → 53
Calls
Call 1
Inputs
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* cosTheta_i cosTheta_O) v) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 1))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole 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))))))))))
#s(approx (neg (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (/ (* sinTheta_i sinTheta_O) v) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) v)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (exp (neg (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 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))))))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 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))))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ 1 v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 2))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (* 1/3 (/ 1 (pow v 2))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 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)))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))))
Outputs
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (pow.f32 (exp.f32 (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (pow.f32 (exp.f32 (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (/ (* cosTheta_i cosTheta_O) v) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (/ (* cosTheta_i cosTheta_O) v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i sinTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_i)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_O v)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) cosTheta_i) (/.f32 sinTheta_i (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i)) sinTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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 (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i sinTheta_O)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (+.f32 (/.f32 (fma.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 5 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 1))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #s(literal 1 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole 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))))))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) #s(literal -1/6 binary32)) v)) (*.f32 v v)) sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #s(literal 1 binary32)))
#s(approx (neg (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (neg (/ (* sinTheta_i sinTheta_O) v)) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
#s(approx (/ (* sinTheta_i sinTheta_O) v) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) v)))
#s(approx (/ (* sinTheta_i sinTheta_O) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (exp (neg (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (pow.f32 (exp.f32 (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i sinTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i (/.f32 (/.f32 sinTheta_i v) v)))) sinTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i sinTheta_i)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 5 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_O (/.f32 (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i sinTheta_i)) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #s(literal 1 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 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))))))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_i) sinTheta_i (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) #s(literal -1/6 binary32)) v)) (*.f32 v v)) sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (sinh (/ 1 v)) (*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v)) (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (*.f32 cosTheta_i (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32))) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v)) (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* 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 #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)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* 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 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (*.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)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i))) v) (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))) (*.f32 v v))))) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #s(literal 1 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 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))))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O (*.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ 1 v)))
#s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)))
#s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))) v))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))) (/.f32 #s(literal -1/5040 binary32) (pow.f32 v #s(literal 6 binary32)))) v))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 2))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (* 1/3 (/ 1 (pow v 2))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) (-.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))) (/.f32 #s(literal -1/2520 binary32) (pow.f32 v #s(literal 6 binary32)))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v)) (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v))) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v))) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) 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 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #s(literal 1 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (+ 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)))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (/.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) v) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32))) (neg.f32 v))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32))) (neg.f32 v)))

rewrite54.0ms (0.6%)

Memory
4.5MiB live, 48.3MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01970
03170
18270
037970
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
8 → 88
Calls
Call 1
Inputs
(*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
Outputs
(*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))))
(*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (neg.f32 v))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1 binary32)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(/.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (neg.f32 cosTheta_i) cosTheta_O)) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))) (neg.f32 v))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1 binary32)) (*.f32 (neg.f32 v) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 v (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta_i) cosTheta_O)) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (neg.f32 v)))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) v)
(fma.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(fma.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(+.f32 (*.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(+.f32 (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v))
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(/.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) v)
(/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (*.f32 #s(literal 2 binary32) v)))))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (*.f32 #s(literal 2 binary32) v))))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (/.f32 (*.f32 (neg.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 (*.f32 #s(literal 2 binary32) v)))))
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (*.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (*.f32 (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (-.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
(/.f32 (-.f32 (pow.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (fma.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (-.f32 (*.f32 (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) (*.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(-.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(pow.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+.f32 (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(*.f32 sinTheta_i (/.f32 sinTheta_O (neg.f32 v)))
(*.f32 sinTheta_i (neg.f32 (/.f32 sinTheta_O v)))
(/.f32 (neg.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (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))) #s(literal 2 binary32))
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)
(*.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))
(*.f32 v (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O)) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(neg.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v))
(neg.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v)))
(*.f32 (/.f32 sinTheta_O v) sinTheta_i)
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (neg.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O)) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) (neg.f32 v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(neg.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))

eval14.0ms (0.1%)

Memory
25.3MiB live, 25.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 4 570 to 727 computations (84.1% saved)

prune28.0ms (0.3%)

Memory
-25.5MiB live, 30.8MiB allocated; 15ms collecting garbage
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New11719136
Fresh000
Picked101
Done000
Total11819137
Accuracy
99.5%
Counts
137 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.2%
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
98.1%
(/.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) v)
98.7%
(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.6%
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
98.5%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #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))
98.5%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i sinTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_i))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.2%
(/.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))
98.3%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
98.5%
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i sinTheta_i)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_O)))
56.1%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
56.1%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v))) v)) (neg.f32 v)))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
57.2%
#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 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) 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_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (pow.f32 (exp.f32 (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
57.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
Compiler

Compiled 1 398 to 1 040 computations (25.6% saved)

simplify216.0ms (2.2%)

Memory
-2.4MiB live, 183.2MiB allocated; 40ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 cosTheta_O cosTheta_i)
cost-diff0
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cost-diff0
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
cost-diff1
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
cost-diff0
(/.f32 cosTheta_O (*.f32 v v))
cost-diff0
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)
cost-diff0
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
cost-diff0
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
cost-diff0
(*.f32 cosTheta_O cosTheta_i)
cost-diff0
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cost-diff0
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
cost-diff0
(/.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))
cost-diff0
(*.f32 cosTheta_O cosTheta_i)
cost-diff0
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cost-diff0
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
cost-diff0
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
cost-diff0
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
cost-diff0
(*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v))
cost-diff0
(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
cost-diff1
(*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052412
080412
1182412
2567404
32944404
09855404
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v))
(*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i)
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(neg.f32 sinTheta_i)
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
v
cosTheta_i
(/.f32 cosTheta_O v)
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)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(literal 1/2 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
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))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(*.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)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
cosTheta_O
(*.f32 v v)
v
cosTheta_i
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(*.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)
(/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(neg.f32 sinTheta_i)
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
Outputs
(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (/.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) v)
(*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i)
(/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(neg.f32 sinTheta_i)
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
v
cosTheta_i
(/.f32 cosTheta_O v)
cosTheta_O
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.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)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.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 v) cosTheta_i) #s(literal 1/2 binary32)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
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 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.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)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)
(*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
(/.f32 (/.f32 cosTheta_O v) v)
cosTheta_O
(*.f32 v v)
v
cosTheta_i
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(*.f32 (/.f32 (/.f32 (/.f32 (/.f32 cosTheta_O v) #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(*.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)
(/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v)
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(neg.f32 sinTheta_i)
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O

localize119.0ms (1.2%)

Memory
7.7MiB live, 141.3MiB allocated; 23ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.16015625
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy0.2486788206944218
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy0.27470139138884364
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
accuracy0.8115890588712007
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy0.27734375
(/.f32 cosTheta_O (*.f32 v v))
accuracy0.2890625
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
accuracy0.7515977623443182
(exp.f32 (/.f32 #s(literal 1 binary32) v))
accuracy0.7660905149049685
(exp.f32 (/.f32 #s(literal -1 binary32) v))
accuracy0.2109375
(/.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))
accuracy0.2486788206944218
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy0.25
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy0.8115890588712007
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy0.0
(*.f32 cosTheta_O cosTheta_i)
accuracy0.0625
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
accuracy0.2486788206944218
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy13.703751148951358
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
accuracy0.1484375
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
accuracy0.2109375
(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
accuracy0.25
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy0.8115890588712007
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Samples
85.0ms256×0valid
Compiler

Compiled 376 to 46 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 25.0ms (38.8% of total)
ival-div: 19.0ms (29.5% of total)
ival-exp: 14.0ms (21.8% of total)
ival-sinh: 3.0ms (4.7% of total)
ival-neg: 2.0ms (3.1% of total)
ival-sub: 1.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series141.0ms (1.5%)

Memory
9.0MiB live, 171.2MiB allocated; 22ms collecting garbage
Counts
22 → 143
Calls
Call 1
Inputs
(*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i)
(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v))
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
(/.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))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.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 (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
Outputs
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) v) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* cosTheta_O cosTheta_i) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))))
#s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ cosTheta_O (* v v)) #s(hole binary32 (/ cosTheta_O (pow v 2))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 cosTheta_i))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (+ (* 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))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 1))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole 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))))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (neg sinTheta_i) (/ sinTheta_O v)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (+ (* 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))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 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))))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (exp (/ -1 v))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (exp (/ 1 v))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (- (exp (/ 1 v)) (exp (/ -1 v)))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 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))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* 1/2 (* cosTheta_O cosTheta_i))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ 1 v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 2))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (* 1/3 (/ 1 (pow v 2))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))))
#s(approx (exp (/ -1 v)) #s(hole binary32 1))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- 1 (/ 1 v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))))
#s(approx (exp (/ 1 v)) #s(hole binary32 1))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (/ 1 v))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ 2 v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (* -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))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (* -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))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 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)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -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))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -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))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4)))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))))
Calls

15 calls:

TimeVariablePointExpression
51.0ms
cosTheta_i
@-inf
((* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ cosTheta_O (* v v)) (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (neg sinTheta_i) (/ sinTheta_O v)) (exp (/ -1 v)) (exp (/ 1 v)) (- (exp (/ 1 v)) (exp (/ -1 v))))
14.0ms
cosTheta_i
@0
((* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ cosTheta_O (* v v)) (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (neg sinTheta_i) (/ sinTheta_O v)) (exp (/ -1 v)) (exp (/ 1 v)) (- (exp (/ 1 v)) (exp (/ -1 v))))
10.0ms
cosTheta_O
@0
((* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ cosTheta_O (* v v)) (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (neg sinTheta_i) (/ sinTheta_O v)) (exp (/ -1 v)) (exp (/ 1 v)) (- (exp (/ 1 v)) (exp (/ -1 v))))
8.0ms
cosTheta_O
@-inf
((* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ cosTheta_O (* v v)) (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (neg sinTheta_i) (/ sinTheta_O v)) (exp (/ -1 v)) (exp (/ 1 v)) (- (exp (/ 1 v)) (exp (/ -1 v))))
7.0ms
v
@0
((* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ cosTheta_O (* v v)) (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (* (neg sinTheta_i) (/ sinTheta_O v)) (exp (/ -1 v)) (exp (/ 1 v)) (- (exp (/ 1 v)) (exp (/ -1 v))))

simplify186.0ms (1.9%)

Memory
13.8MiB live, 149.8MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07286173
123036020
083555845
Stop Event
iter limit
node limit
Counts
143 → 143
Calls
Call 1
Inputs
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) v) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* cosTheta_O cosTheta_i) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))))
#s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ cosTheta_O (* v v)) #s(hole binary32 (/ cosTheta_O (pow v 2))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 cosTheta_i))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (+ (* 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))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 1))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole 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))))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (neg sinTheta_i) (/ sinTheta_O v)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (+ (* 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))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 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))))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (exp (/ -1 v))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (exp (/ 1 v))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (- (exp (/ 1 v)) (exp (/ -1 v)))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 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))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* 1/2 (* cosTheta_O cosTheta_i))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ 1 v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 2))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (* 1/3 (/ 1 (pow v 2))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))))
#s(approx (exp (/ -1 v)) #s(hole binary32 1))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- 1 (/ 1 v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))))
#s(approx (exp (/ 1 v)) #s(hole binary32 1))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (/ 1 v))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ 2 v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (* -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))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (* -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))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 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)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -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))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -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))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4)))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))))
Outputs
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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 v) (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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 v) (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32)))
#s(approx (/ (* cosTheta_O cosTheta_i) v) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) v) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
#s(approx (* cosTheta_O cosTheta_i) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx (* cosTheta_O cosTheta_i) (*.f32 cosTheta_O cosTheta_i))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
#s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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 v) (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ cosTheta_O (* v v)) #s(hole binary32 (/ cosTheta_O (pow v 2))))
#s(approx (/ cosTheta_O (* v v)) (/.f32 (/.f32 cosTheta_O v) v))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 cosTheta_i))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) cosTheta_i)
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (-.f32 cosTheta_i (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (fma.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_O v) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) v))) sinTheta_i cosTheta_i))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* sinTheta_i (+ (* -1 (/ (* cosTheta_i sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_O 2)) (pow v 2))))))))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) v) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i)) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (*.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_O v))) sinTheta_i cosTheta_i))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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 v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_i sinTheta_O) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 cosTheta_i sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i sinTheta_O) cosTheta_O) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_i)) sinTheta_i)))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 (neg.f32 cosTheta_O) v) (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (*.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_O v)))) sinTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_O v)) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_i)) sinTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 1))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(literal 1 binary32))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (-.f32 #s(literal 1 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (/.f32 sinTheta_i (*.f32 v v)) (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #s(literal 1 binary32)))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole 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))))))))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_O) v))) sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #s(literal 1 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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 v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_i sinTheta_O) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 cosTheta_i sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i sinTheta_O) cosTheta_O) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_i)) sinTheta_i)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 (neg.f32 cosTheta_O) v) (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (*.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_O v)))) sinTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_O v)) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_i)) sinTheta_i (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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 v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_i sinTheta_O) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 cosTheta_i sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i sinTheta_O) cosTheta_O) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_i)) sinTheta_i)))
#s(approx (* (neg sinTheta_i) (/ sinTheta_O v)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (* (neg sinTheta_i) (/ sinTheta_O v)) (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (fma.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_i v) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v))) sinTheta_O cosTheta_i))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* sinTheta_O (+ (* -1 (/ (* cosTheta_i sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (pow sinTheta_i 2)) (pow v 2))))))))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_i) (*.f32 sinTheta_O (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) v))) sinTheta_O (*.f32 (neg.f32 cosTheta_i) (/.f32 sinTheta_i v))) sinTheta_O cosTheta_i))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 cosTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O)))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (*.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_i v)))) sinTheta_O (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_i v)) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_O)) sinTheta_O (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32)))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 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))))))))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_O) (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 cosTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (*.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_i v)))) sinTheta_O (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (+ (* 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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 cosTheta_i v) (/.f32 sinTheta_i v)) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_O)) sinTheta_O (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 cosTheta_i sinTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (sinh (/ 1 v)) (*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
#s(approx (exp (/ -1 v)) #s(hole binary32 (exp (/ -1 v))))
#s(approx (exp (/ -1 v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
#s(approx (exp (/ 1 v)) #s(hole binary32 (exp (/ 1 v))))
#s(approx (exp (/ 1 v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (- (exp (/ 1 v)) (exp (/ -1 v)))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) (-.f32 cosTheta_i (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_i) (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v))) (-.f32 cosTheta_i (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* 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 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* 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 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) (*.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)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta_i sinTheta_O) cosTheta_O) sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))))) v))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta_i sinTheta_O) cosTheta_O) sinTheta_O)) (*.f32 sinTheta_i 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) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i)))) (pow.f32 v #s(literal 3 binary32))))) v))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (*.f32 cosTheta_O cosTheta_i)) v))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v) (fma.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (*.f32 cosTheta_O cosTheta_i))) v))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (*.f32 cosTheta_i (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v) (fma.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (*.f32 cosTheta_O cosTheta_i)))) v))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32)))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 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))))))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (+.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O (*.f32 (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* 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 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* 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 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) (*.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)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta_i sinTheta_O) cosTheta_O) sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta_i sinTheta_O) cosTheta_O) sinTheta_O)) (*.f32 sinTheta_i 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) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i)))) (pow.f32 v #s(literal 3 binary32))))) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (*.f32 cosTheta_O cosTheta_i)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v) (fma.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (*.f32 cosTheta_O cosTheta_i))) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (*.f32 cosTheta_i (pow.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v) (fma.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))) (*.f32 cosTheta_O cosTheta_i)))) v))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v)) cosTheta_i (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(literal -7/720 binary32)) (pow.f32 v #s(literal 4 binary32)))) (*.f32 (*.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v)) cosTheta_i)) v))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)))
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#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* 1/2 (/ (* 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 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 1/2 binary32)))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* 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 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))) (*.f32 cosTheta_O cosTheta_i))) v))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -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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#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* 1/2 (* cosTheta_O cosTheta_i))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (fma.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v)) cosTheta_i (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (fma.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v)) cosTheta_i (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 7/2160 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (fma.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v)) cosTheta_i (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ 1 v)))
#s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)))
#s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)))
#s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)))
#s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 2))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (* 1/3 (/ 1 (pow v 2))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (+.f32 #s(literal 2 binary32) (/.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))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
#s(approx (exp (/ -1 v)) #s(hole binary32 1))
#s(approx (exp (/ -1 v)) #s(literal 1 binary32))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- 1 (/ 1 v))))
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))))
#s(approx (exp (/ -1 v)) (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v)))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))))
#s(approx (exp (/ -1 v)) (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/6 binary32) (pow.f32 v #s(literal 3 binary32)))))
#s(approx (exp (/ 1 v)) #s(hole binary32 1))
#s(approx (exp (/ 1 v)) #s(literal 1 binary32))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (/ 1 v))))
#s(approx (exp (/ 1 v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32)))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))))
#s(approx (exp (/ 1 v)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))))
#s(approx (exp (/ 1 v)) (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))) (/.f32 #s(literal 1/6 binary32) (pow.f32 v #s(literal 3 binary32)))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ 2 v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.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))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* -1 (/ (+ (* -1/2 (/ (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (-.f32 cosTheta_i (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v) #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) v)))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))))
#s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (-.f32 cosTheta_i (/.f32 (fma.f32 (*.f32 cosTheta_i sinTheta_i) sinTheta_O (/.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) v) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) #s(literal 1/2 binary32))) (neg.f32 v))) v)))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) 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 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (neg.f32 v)))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) v)) (neg.f32 v)))
#s(approx (/ (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (neg.f32 v)))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (* -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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v) (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v))) v))
#s(approx (* (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (/ cosTheta_O v)) #s(hole binary32 (* -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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (*.f32 cosTheta_O (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) v)) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v))) v))) v))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_i)) v)))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(hole binary32 (+ 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)))))
#s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (/.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) v) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32))) (neg.f32 v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) 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 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) v)) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (neg.f32 v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v) (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i))) v))) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(hole binary32 (* -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))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (*.f32 cosTheta_O (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) v)) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v))) v))) v))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (*.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v)) cosTheta_i (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (fma.f32 (*.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v)) cosTheta_i (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -7/720 binary32)) (pow.f32 v #s(literal 4 binary32))))) (neg.f32 v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (neg.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -7/4320 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/1680 binary32)))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v)) cosTheta_i (*.f32 cosTheta_O (*.f32 (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32))) #s(literal 7/720 binary32))))) (neg.f32 v)))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) 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 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v)))))) (neg.f32 v)))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) v)) (neg.f32 v)))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4)))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (fma.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v)) cosTheta_i (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (* 2 (sinh (/ 1 v)))) (fma.f32 (*.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v)) cosTheta_i (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (+.f32 (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -7/2160 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32))))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32))) (neg.f32 v)))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))))
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v)) v)))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))))
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) v)) v)))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))))
#s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/60 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) (neg.f32 v)))

rewrite70.0ms (0.7%)

Memory
-1.0MiB live, 44.6MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052281
080281
1233272
01154272
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
22 → 350
Calls
Call 1
Inputs
(*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i)
(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v))
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
(/.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))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.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 (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
Outputs
(*.f32 cosTheta_i (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)))
(*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i)
(/.f32 (*.f32 #s(literal 1 binary32) cosTheta_i) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(/.f32 (*.f32 cosTheta_i #s(literal 1 binary32)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(fma.f32 (cosh.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) cosTheta_i (*.f32 (neg.f32 (sinh.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))) cosTheta_i))
(fma.f32 cosTheta_i (cosh.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (*.f32 cosTheta_i (neg.f32 (sinh.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i)))))
(+.f32 (*.f32 (cosh.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) cosTheta_i) (*.f32 (neg.f32 (sinh.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))) cosTheta_i))
(+.f32 (*.f32 cosTheta_i (cosh.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))) (*.f32 cosTheta_i (neg.f32 (sinh.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i)))))
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(*.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (cosh.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.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))
(/.f32 (-.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (-.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (+.f32 (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (-.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (fma.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (neg.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))))) (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (neg.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))))) (neg.f32 (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) #s(literal 4 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) #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)))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.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)))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))))
(-.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))) (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(fma.f32 #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)))
(fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(fma.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(+.f32 (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))

eval55.0ms (0.6%)

Memory
-14.7MiB live, 81.2MiB allocated; 17ms collecting garbage
Compiler

Compiled 17 514 to 1 859 computations (89.4% saved)

prune61.0ms (0.6%)

Memory
18.1MiB live, 64.5MiB allocated; 3ms collecting garbage
Pruning

41 alts after pruning (38 fresh and 3 done)

PrunedKeptTotal
New46334497
Fresh10414
Picked235
Done000
Total47541516
Accuracy
99.7%
Counts
516 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
98.7%
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v))) (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.1%
(/.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) v)
98.7%
(/.f32 (*.f32 #s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (-.f32 cosTheta_i (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.5%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #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))
98.5%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (neg.f32 v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.2%
(/.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))
70.0%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
63.3%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
98.2%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
98.3%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 (-.f32 (*.f32 (cosh.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (cosh.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))) (*.f32 (sinh.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (sinh.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i)))) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
98.3%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 (pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 (/.f32 sinTheta_O v) #s(literal 2 binary32))) (pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 (/.f32 sinTheta_O v) #s(literal 2 binary32)))) v))
98.0%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(literal 1 binary32)) v))
98.5%
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.4%
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
98.6%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.8%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.4%
(*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
98.2%
#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) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
66.7%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
70.0%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
63.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
57.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
57.2%
#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))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
97.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v v)))
98.3%
#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 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
98.2%
#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 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
92.7%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.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))))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
96.0%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.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 -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v)))
57.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
98.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (pow.f32 (exp.f32 (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
57.2%
#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) cosTheta_O) (/.f32 cosTheta_i v)))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
57.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
Compiler

Compiled 2 896 to 2 179 computations (24.8% saved)

simplify109.0ms (1.1%)

Memory
-22.7MiB live, 116.5MiB allocated; 18ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
cost-diff0
(/.f32 cosTheta_i v)
cost-diff0
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
cost-diff1
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
cost-diff0
(/.f32 cosTheta_O (*.f32 v v))
cost-diff0
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)
cost-diff0
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
cost-diff0
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
cost-diff0
(*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
cost-diff0
(*.f32 cosTheta_O cosTheta_i)
cost-diff0
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
cost-diff0
#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 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
cost-diff0
(/.f32 cosTheta_i v)
cost-diff0
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
cost-diff0
(*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v))
cost-diff0
#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) cosTheta_O) (/.f32 cosTheta_i v)))
cost-diff0
(/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
cost-diff0
(/.f32 cosTheta_O v)
cost-diff0
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
cost-diff1
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058440
089440
1200440
2625435
33311435
08349435
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 cosTheta_O v)
cosTheta_O
v
cosTheta_i
(/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)
(pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))
(exp.f32 (/.f32 sinTheta_O v))
(/.f32 sinTheta_O v)
sinTheta_O
(neg.f32 sinTheta_i)
sinTheta_i
(*.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)
#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) cosTheta_O) (/.f32 cosTheta_i v)))
(*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
#s(literal 1/2 binary32)
cosTheta_O
(/.f32 cosTheta_i v)
cosTheta_i
v
#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 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 v v)
v
(*.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)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
cosTheta_O
(*.f32 v v)
v
cosTheta_i
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 cosTheta_i v)
cosTheta_i
v
(/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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)
(/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(neg.f32 sinTheta_i)
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
Outputs
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O v)
cosTheta_O
v
cosTheta_i
(/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)
(pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(exp.f32 (/.f32 sinTheta_O v))
(/.f32 sinTheta_O v)
sinTheta_O
(neg.f32 sinTheta_i)
sinTheta_i
(*.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)
#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) cosTheta_O) (/.f32 cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
#s(literal 1/2 binary32)
cosTheta_O
(/.f32 cosTheta_i v)
cosTheta_i
v
#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 #s(literal 2 binary32) (sinh.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_i v) v) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_O
cosTheta_i
(*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 v v)
v
(*.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)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)
(*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
(/.f32 (/.f32 cosTheta_O v) v)
cosTheta_O
(*.f32 v v)
v
cosTheta_i
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(*.f32 (/.f32 (/.f32 cosTheta_O v) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v))
(/.f32 cosTheta_i v)
cosTheta_i
v
(/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
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)
(/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v)
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(*.f32 (/.f32 (neg.f32 sinTheta_i) v) sinTheta_O)
(neg.f32 sinTheta_i)
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O

localize138.0ms (1.4%)

Memory
35.0MiB live, 167.3MiB allocated; 28ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.15234375
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy0.2421875
(/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy0.27470139138884364
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
accuracy0.8115890588712007
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy0.2890625
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))
accuracy0.5864899399559822
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
accuracy0.7515977623443182
(exp.f32 (/.f32 #s(literal 1 binary32) v))
accuracy29.60102187497456
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
accuracy0.13338406846231055
#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 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
accuracy0.15234375
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy0.30859375
(*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy0.8115890588712007
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy0.0
(/.f32 cosTheta_i v)
accuracy0.0
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
accuracy0.12890625
(*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v))
accuracy13.703751148951358
#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) cosTheta_O) (/.f32 cosTheta_i v)))
accuracy0.12890625
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
accuracy0.189785009768442
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy0.38671875
(/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy0.8115890588712007
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Samples
102.0ms256×0valid
Compiler

Compiled 377 to 54 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 29.0ms (39.2% of total)
ival-div: 22.0ms (29.7% of total)
ival-exp: 10.0ms (13.5% of total)
ival-pow: 5.0ms (6.8% of total)
ival-sub: 2.0ms (2.7% of total)
ival-neg: 2.0ms (2.7% of total)
ival-sinh: 2.0ms (2.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series351.0ms (3.6%)

Memory
-33.5MiB live, 311.9MiB allocated; 134ms collecting garbage
Counts
24 → 132
Calls
Call 1
Inputs
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 cosTheta_O v)
(/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
(*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
(/.f32 cosTheta_i v)
#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 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.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 (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))
Outputs
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ cosTheta_O v) cosTheta_i) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* 1/2 cosTheta_O) (/ cosTheta_i v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ cosTheta_i v) #s(hole binary32 (/ cosTheta_i v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* cosTheta_O cosTheta_i) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))))
#s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ cosTheta_O v) #s(hole binary32 (/ cosTheta_O v)))
#s(approx (* 1/2 cosTheta_O) #s(hole binary32 (* 1/2 cosTheta_O)))
#s(approx (/ cosTheta_O (* v v)) #s(hole binary32 (/ cosTheta_O (pow v 2))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (exp (/ -1 v))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (exp (/ 1 v))))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (/ -1 v)))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (/ (- v 1) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (- (exp (/ 1 v)) (exp (/ -1 v)))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3)))))) v)))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 1/2))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/6) (pow v 2)))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/6) (pow v 2))) (* 1/2 (/ (- (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* 2 v)))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* 1/2 (* cosTheta_O cosTheta_i))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* 1/2 (* cosTheta_O v))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ 1 v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)))
#s(approx (exp (/ -1 v)) #s(hole binary32 1))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- 1 (/ 1 v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))))
#s(approx (exp (/ 1 v)) #s(hole binary32 1))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (/ 1 v))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 1))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (- 1 (/ 1 v))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ 2 v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 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))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ 1/6 (* -1 (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v)))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1/6 (* -1 (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* 1/2 (/ (- (* -1 (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* -1/6 (* sinTheta_O sinTheta_i))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -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))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -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))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4)))))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))))))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (* 1/12 (/ cosTheta_O (pow v 2))))))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2))))))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))))
Calls

15 calls:

TimeVariablePointExpression
141.0ms
cosTheta_i
@0
((* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_O) (/ cosTheta_i v)) (* 1/2 cosTheta_O) (/ cosTheta_i v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ cosTheta_O (* v v)) (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ cosTheta_O (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (exp (/ -1 v)) (exp (/ 1 v)) (- 1 (/ 1 v)) (- (exp (/ 1 v)) (exp (/ -1 v))))
44.0ms
sinTheta_O
@inf
((* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_O) (/ cosTheta_i v)) (* 1/2 cosTheta_O) (/ cosTheta_i v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ cosTheta_O (* v v)) (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ cosTheta_O (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (exp (/ -1 v)) (exp (/ 1 v)) (- 1 (/ 1 v)) (- (exp (/ 1 v)) (exp (/ -1 v))))
27.0ms
cosTheta_i
@inf
((* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_O) (/ cosTheta_i v)) (* 1/2 cosTheta_O) (/ cosTheta_i v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ cosTheta_O (* v v)) (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ cosTheta_O (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (exp (/ -1 v)) (exp (/ 1 v)) (- 1 (/ 1 v)) (- (exp (/ 1 v)) (exp (/ -1 v))))
19.0ms
cosTheta_O
@0
((* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_O) (/ cosTheta_i v)) (* 1/2 cosTheta_O) (/ cosTheta_i v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ cosTheta_O (* v v)) (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ cosTheta_O (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (exp (/ -1 v)) (exp (/ 1 v)) (- 1 (/ 1 v)) (- (exp (/ 1 v)) (exp (/ -1 v))))
18.0ms
cosTheta_O
@inf
((* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (* 1/2 cosTheta_O) (/ cosTheta_i v)) (* 1/2 cosTheta_O) (/ cosTheta_i v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ cosTheta_O (* v v)) (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ cosTheta_O (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (exp (/ -1 v)) (exp (/ 1 v)) (- 1 (/ 1 v)) (- (exp (/ 1 v)) (exp (/ -1 v))))

simplify207.0ms (2.1%)

Memory
18.6MiB live, 152.8MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07505935
124445682
085245527
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ cosTheta_O v) cosTheta_i) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* 1/2 cosTheta_O) (/ cosTheta_i v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ cosTheta_i v) #s(hole binary32 (/ cosTheta_i v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* cosTheta_O cosTheta_i) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))))
#s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ cosTheta_O v) #s(hole binary32 (/ cosTheta_O v)))
#s(approx (* 1/2 cosTheta_O) #s(hole binary32 (* 1/2 cosTheta_O)))
#s(approx (/ cosTheta_O (* v v)) #s(hole binary32 (/ cosTheta_O (pow v 2))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (exp (/ -1 v))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (exp (/ 1 v))))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (/ -1 v)))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (/ (- v 1) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (- (exp (/ 1 v)) (exp (/ -1 v)))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 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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#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 1/2))
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#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/6) (pow v 2)))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/6) (pow v 2))) (* 1/2 (/ (- (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* 2 v)))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* 1/2 (* cosTheta_O cosTheta_i))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* 1/2 (* cosTheta_O v))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ 1 v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)))
#s(approx (exp (/ -1 v)) #s(hole binary32 1))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- 1 (/ 1 v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))))
#s(approx (exp (/ 1 v)) #s(hole binary32 1))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (/ 1 v))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 1))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (- 1 (/ 1 v))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ 2 v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 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))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ 1/6 (* -1 (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v)))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1/6 (* -1 (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* 1/2 (/ (- (* -1 (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* -1/6 (* sinTheta_O sinTheta_i))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v))))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -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))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -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))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4)))))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))))))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (* 1/12 (/ cosTheta_O (pow v 2))))))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2))))))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))))
Outputs
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (/ cosTheta_O v) cosTheta_i) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) cosTheta_i) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* 1/2 cosTheta_O) (/ cosTheta_i v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (* 1/2 cosTheta_O) (/ cosTheta_i v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ cosTheta_i v) #s(hole binary32 (/ cosTheta_i v)))
#s(approx (/ cosTheta_i v) (/.f32 cosTheta_i v))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* cosTheta_O cosTheta_i) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx (* cosTheta_O cosTheta_i) (*.f32 cosTheta_i cosTheta_O))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
#s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ cosTheta_O v) #s(hole binary32 (/ cosTheta_O v)))
#s(approx (/ cosTheta_O v) (/.f32 cosTheta_O v))
#s(approx (* 1/2 cosTheta_O) #s(hole binary32 (* 1/2 cosTheta_O)))
#s(approx (* 1/2 cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
#s(approx (/ cosTheta_O (* v v)) #s(hole binary32 (/ cosTheta_O (pow v 2))))
#s(approx (/ cosTheta_O (* v v)) (/.f32 (/.f32 cosTheta_O v) v))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (fma.f32 (/.f32 cosTheta_i (*.f32 v v)) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 sinTheta_O cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_i)) sinTheta_i)))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (fma.f32 sinTheta_O (/.f32 (neg.f32 (/.f32 sinTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 sinTheta_O (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_i (/.f32 (neg.f32 (/.f32 sinTheta_O (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (/.f32 cosTheta_i (*.f32 v v)) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 sinTheta_O cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_i)) sinTheta_i)))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (fma.f32 (/.f32 cosTheta_i (*.f32 v v)) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 sinTheta_O cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_i)) sinTheta_i)))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
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#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (fma.f32 (/.f32 cosTheta_i (*.f32 v v)) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 sinTheta_i cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O)))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O (/.f32 (neg.f32 (/.f32 sinTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (/.f32 cosTheta_i (*.f32 v v)) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 sinTheta_i cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O)))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (fma.f32 (/.f32 cosTheta_i (*.f32 v v)) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 sinTheta_i cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O)))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (sinh (/ 1 v)) (*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (exp (/ -1 v))))
#s(approx (exp (/ -1 v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
#s(approx (exp (/ 1 v)) #s(hole binary32 (exp (/ 1 v))))
#s(approx (exp (/ 1 v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (/ -1 v)))
#s(approx (- 1 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (/ (- v 1) v)))
#s(approx (- 1 (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (- (exp (/ 1 v)) (exp (/ -1 v)))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 0 binary32) sinTheta_i (fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)))) (*.f32 v v))))) v))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3)))))) v)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (*.f32 #s(literal 1/2 binary32) (+.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal 0 binary32) sinTheta_i (fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)))) (*.f32 v v))) (/.f32 (fma.f32 (*.f32 cosTheta_i cosTheta_O) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) #s(literal 0 binary32)) sinTheta_i (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) sinTheta_i) sinTheta_i) sinTheta_O) #s(literal 1/2 binary32))) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) (pow.f32 v #s(literal 3 binary32)))))) v))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 1/2))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(literal 1/2 binary32))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1/2 binary32)))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/6) (pow v 2)))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 (fma.f32 #s(literal 0 binary32) sinTheta_i (fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/6) (pow v 2))) (* 1/2 (/ (- (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 (fma.f32 #s(literal 0 binary32) sinTheta_i (fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32))) (*.f32 v v))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) #s(literal 0 binary32)) sinTheta_i (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) sinTheta_O) #s(literal 0 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i sinTheta_O)))) (pow.f32 v #s(literal 3 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* 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 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* 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 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i)) cosTheta_O (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v v))))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i)) cosTheta_O (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (*.f32 sinTheta_i sinTheta_O)))) (pow.f32 v #s(literal 3 binary32))))) v))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (*.f32 (*.f32 #s(literal -1/12 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v))) v))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (fma.f32 (*.f32 #s(literal -1/12 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))))) v))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/360 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (*.f32 (*.f32 #s(literal -1/12 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v)))) v))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* 2 v)))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 2 binary32) v))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.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))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (*.f32 (*.f32 #s(literal -1/12 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v))) v))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/720 binary32))) (pow.f32 v #s(literal 4 binary32)))) (*.f32 (*.f32 #s(literal 1/12 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v))) v))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/720 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -1/1680 binary32)))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (*.f32 #s(literal 1/12 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/720 binary32)) (pow.f32 v #s(literal 4 binary32))))) v))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (*.f32 cosTheta_i cosTheta_O))) v))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i)) cosTheta_O (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v v))))) v))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i)) cosTheta_O (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (*.f32 sinTheta_i sinTheta_O)))) (pow.f32 v #s(literal 3 binary32))))) v))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* 1/2 (* cosTheta_O cosTheta_i))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (*.f32 (*.f32 #s(literal -1/12 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (fma.f32 (*.f32 #s(literal -1/12 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_i cosTheta_O)) #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))))))
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#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* 1/2 (* cosTheta_O v))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) (*.f32 (*.f32 v cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) (*.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) v))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))))))
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#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* v (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))))))
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#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ 1 v)))
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#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)))
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#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)))
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#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)))
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#s(approx (exp (/ -1 v)) #s(hole binary32 1))
#s(approx (exp (/ -1 v)) #s(literal 1 binary32))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- 1 (/ 1 v))))
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))))
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#s(approx (exp (/ 1 v)) #s(hole binary32 1))
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#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (/ 1 v))))
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#s(approx (- 1 (/ 1 v)) #s(literal 1 binary32))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (- 1 (/ 1 v))))
#s(approx (- 1 (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ 2 v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)))
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#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)))
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#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) v)))
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#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
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#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 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))))
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#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (-.f32 #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) sinTheta_i))) v))) v) #s(literal -1/2 binary32)))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1/6 (* -1 (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* 1/2 (/ (- (* -1 (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* -1/6 (* sinTheta_O sinTheta_i))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))))
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#s(approx (/ (* cosTheta_O cosTheta_i) (* (* v v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
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#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
#s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/60 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (*.f32 (*.f32 #s(literal 1/12 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v))) (neg.f32 v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (fma.f32 (*.f32 #s(literal 1/12 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/720 binary32)) (pow.f32 v #s(literal 4 binary32))))) (neg.f32 v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 7/720 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/1680 binary32)))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (*.f32 #s(literal -1/12 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 7/720 binary32)) (pow.f32 v #s(literal 4 binary32))))) (neg.f32 v)))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))) (neg.f32 v)))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -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))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v)) (neg.f32 v)))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) #s(hole binary32 (* -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))))
#s(approx (* (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (*.f32 sinTheta_i sinTheta_O)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4)))))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (fma.f32 (*.f32 #s(literal -1/12 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (+ (* -1/6 (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i)))) (+ (* -1/5040 (* cosTheta_O cosTheta_i)) (* 1/720 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))))))))
#s(approx (* (/ cosTheta_i v) (/ cosTheta_O (* 2 (sinh (/ 1 v))))) (fma.f32 (*.f32 #s(literal -1/12 binary32) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32))))))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (* 1/12 (/ cosTheta_O (pow v 2))))))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (fma.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v) (*.f32 #s(literal -1/2 binary32) cosTheta_O))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) (+.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (*.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v)))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2))))))))))
#s(approx (/ cosTheta_O (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 cosTheta_O #s(literal 7/360 binary32)) #s(literal -1/6 binary32) (*.f32 cosTheta_O #s(literal 1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) (/.f32 (*.f32 cosTheta_O #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (fma.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v) (*.f32 #s(literal -1/2 binary32) cosTheta_O)))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32))) (neg.f32 v)))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))))
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v)) v)))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))))
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) v)) v)))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))))
#s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2))))) v))))
#s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/60 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) (neg.f32 v)))

rewrite70.0ms (0.7%)

Memory
25.3MiB live, 69.2MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058314
089314
1280314
01512314
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
24 → 369
Calls
Call 1
Inputs
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 cosTheta_O v)
(/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v)))
(*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
(/.f32 cosTheta_i v)
#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 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.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 (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))
Outputs
(*.f32 (*.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_O v)) cosTheta_i)
(*.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (/.f32 cosTheta_i v)) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(literal 2 binary32)) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i) (/.f32 cosTheta_O v))
(*.f32 (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)) (/.f32 cosTheta_i v))
(*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32))) (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i))
(*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v))
(*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (/.f32 cosTheta_i v) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)))
(*.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)))
(*.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)))
(*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)))
(*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 cosTheta_O v) (*.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i))
(/.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(/.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_O v)) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 v))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (neg.f32 v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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(/.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_i)) v)
(/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)) v)
(/.f32 (*.f32 (neg.f32 cosTheta_i) (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v))) (neg.f32 v))
(/.f32 (*.f32 cosTheta_i (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v))) v)
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v))) (neg.f32 v))
(/.f32 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (neg.f32 v))) (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) (neg.f32 v))
(/.f32 (*.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) v)
(/.f32 (*.f32 (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)) (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (neg.f32 v))
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (neg.f32 (/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v))) (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)))) (neg.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 (neg.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)))) (neg.f32 v))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v))) (*.f32 (neg.f32 v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (neg.f32 v))) (*.f32 (neg.f32 v) (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)) (*.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (neg.f32 v))) (*.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)))
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (neg.f32 v)) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) (*.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (neg.f32 v)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) (*.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))) (*.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 (neg.f32 v) v))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))) (*.f32 v v))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (neg.f32 v)))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 (neg.f32 v) v))
(/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v v)))
(/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v))
(/.f32 (/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v))) v)
(/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))) (*.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (*.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_O v)) cosTheta_i) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (/.f32 (*.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
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(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(neg.f32 (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) v))
(neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 v)))
(/.f32 (neg.f32 (neg.f32 cosTheta_O)) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 cosTheta_O) (neg.f32 v))
(/.f32 cosTheta_O v)
(neg.f32 (/.f32 (neg.f32 cosTheta_O) v))
(neg.f32 (/.f32 cosTheta_O (neg.f32 v)))
(*.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))
(*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32))) v))
(*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32))) v) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (/.f32 (neg.f32 sinTheta_i) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (neg.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v))) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
(/.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (neg.f32 v)) (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
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(/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
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(neg.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (neg.f32 v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(neg.f32 (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal -2 binary32) (sinh.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 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(*.f32 (*.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32)) cosTheta_O)
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
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(neg.f32 (/.f32 (neg.f32 cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(neg.f32 (/.f32 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 1 binary32))
(*.f32 #s(literal 2 binary32) (/.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))) #s(literal -2 binary32))
(/.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 2 binary32))
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(+.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) 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))
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))
(fma.f32 #s(literal 2 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))
(+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(+.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -2 binary32)))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -3 binary32)))) (neg.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -3 binary32))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) v)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))) (/.f32 (pow.f32 v #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 v #s(literal -3 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 v #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) v))))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(/.f32 (neg.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)))) (neg.f32 (+.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (neg.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (pow.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
(/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (pow.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (+.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (pow.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32))) (fma.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (+.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (pow.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) (+.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(-.f32 (/.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (fma.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))) (/.f32 (pow.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) #s(literal 3 binary32)) (fma.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) (+.f32 #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))
(+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))

eval49.0ms (0.5%)

Memory
-29.1MiB live, 74.2MiB allocated; 13ms collecting garbage
Compiler

Compiled 18 591 to 1 756 computations (90.6% saved)

prune78.0ms (0.8%)

Memory
11.8MiB live, 104.6MiB allocated; 7ms collecting garbage
Pruning

50 alts after pruning (45 fresh and 5 done)

PrunedKeptTotal
New43525460
Fresh132033
Picked325
Done033
Total45150501
Accuracy
99.7%
Counts
501 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
98.7%
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
97.5%
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
98.1%
(/.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) v)
98.7%
(/.f32 (*.f32 #s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (-.f32 cosTheta_i (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.5%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #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))
98.5%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (neg.f32 v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.2%
(/.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))
70.0%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
63.3%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
98.2%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
98.0%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(literal 1 binary32)) v))
98.5%
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.8%
(*.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)))
98.6%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v))
98.6%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
98.5%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
57.2%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(literal 1/2 binary32)))
98.4%
(*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
98.2%
#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) (*.f32 (*.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
97.9%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)) v))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
64.9%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))))))
60.8%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
70.0%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
63.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
57.2%
#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))
57.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
66.7%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))))
97.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v v)))
98.2%
#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 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
98.3%
#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 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
70.0%
#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 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))))))
63.4%
#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 #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))))))
98.3%
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))))
63.4%
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
70.0%
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32))))))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 (/.f32 cosTheta_i (*.f32 (*.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O))
92.7%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.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))))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
96.0%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.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 -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i (*.f32 (*.f32 v v) #s(literal 2 binary32))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_O (*.f32 (*.f32 v v) #s(literal 2 binary32))) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v)))
98.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
57.2%
#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) cosTheta_O) (/.f32 cosTheta_i v)))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
57.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
Compiler

Compiled 3 585 to 2 702 computations (24.6% saved)

simplify179.0ms (1.9%)

Memory
-11.3MiB live, 128.1MiB allocated; 40ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
cost-diff0
(/.f32 cosTheta_O v)
cost-diff0
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
cost-diff0
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
cost-diff0
(*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
cost-diff0
(*.f32 cosTheta_i cosTheta_O)
cost-diff0
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
cost-diff0
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))))
cost-diff0
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)
cost-diff0
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
cost-diff0
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
cost-diff1
(fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32))
cost-diff0
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
cost-diff0
(*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)
cost-diff0
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v)
cost-diff0
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
cost-diff0
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
cost-diff0
(*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v))
cost-diff0
(/.f32 cosTheta_i v)
cost-diff1
(*.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078633
0119624
1224624
2606621
32669620
08383620
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)))
(/.f32 cosTheta_i v)
cosTheta_i
v
(*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v))
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 cosTheta_O #s(literal 2 binary32))
cosTheta_O
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)
(pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))
(exp.f32 (/.f32 sinTheta_O v))
(/.f32 sinTheta_O v)
sinTheta_O
(neg.f32 sinTheta_i)
sinTheta_i
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v)
(*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
#s(literal 1/2 binary32)
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 (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
cosTheta_O
(*.f32 v v)
v
cosTheta_i
(-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))
#s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))
#s(literal 1 binary32)
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v)
(-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32))
(/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v)
(fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32))
(/.f32 #s(literal 1/6 binary32) v)
#s(literal 1/6 binary32)
#s(literal -1 binary32)
#s(literal -1/2 binary32)
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 1 binary32) (/.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 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 v v)
v
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 cosTheta_O v)
cosTheta_O
v
cosTheta_i
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)
Outputs
(*.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)))
(/.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 cosTheta_i v)
cosTheta_i
v
(*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v))
(*.f32 (/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 cosTheta_O #s(literal 2 binary32))
cosTheta_O
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) v)
(pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(exp.f32 (/.f32 sinTheta_O v))
(/.f32 sinTheta_O v)
sinTheta_O
(neg.f32 sinTheta_i)
sinTheta_i
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) 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 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v)
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
#s(literal 1/2 binary32)
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 (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)
(/.f32 cosTheta_O (*.f32 v v))
cosTheta_O
(*.f32 v v)
v
cosTheta_i
(-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))
(-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))
#s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v)))
#s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) v) #s(literal 1 binary32)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) v) #s(literal 1 binary32)) v))
#s(literal 1 binary32)
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v)
(/.f32 (-.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) v) #s(literal 1 binary32)) v)
(-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32))
(-.f32 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) v) #s(literal 1 binary32))
(/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v)
(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) v)
(fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32))
(-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) v))
(/.f32 #s(literal 1/6 binary32) v)
#s(literal 1/6 binary32)
#s(literal -1 binary32)
#s(literal -1/2 binary32)
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 1 binary32) (/.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 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
(*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))) (*.f32 v v))
(*.f32 v v)
v
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(*.f32 #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 cosTheta_O v)
cosTheta_O
v
cosTheta_i
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
#s(literal -1 binary32)

localize169.0ms (1.8%)

Memory
30.3MiB live, 175.1MiB allocated; 15ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.33435085028822625
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
accuracy0.38671875
(/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
accuracy0.7515977623443182
(exp.f32 (/.f32 #s(literal 1 binary32) v))
accuracy0.7660905149049685
(exp.f32 (/.f32 #s(literal -1 binary32) v))
accuracy0.30859375
(*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
accuracy0.5864899399559822
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
accuracy0.7515977623443182
(exp.f32 (/.f32 #s(literal 1 binary32) v))
accuracy29.60102187497456
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
accuracy0.3671875
(/.f32 #s(literal 1/6 binary32) v)
accuracy0.5864899399559822
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
accuracy21.328520902336827
#s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v)))
accuracy29.60102187497456
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
accuracy0.0
(*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)
accuracy0.0
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
accuracy0.2718226195366319
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v)
accuracy13.703751148951358
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
accuracy0.17806625976844204
(*.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)))
accuracy0.2421875
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy0.33822250976844204
(*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v))
accuracy0.8115890588712007
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Samples
131.0ms256×0valid
Compiler

Compiled 454 to 62 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-mult: 40.0ms (37% of total)
ival-div: 30.0ms (27.7% of total)
const: 13.0ms (12% of total)
ival-exp: 9.0ms (8.3% of total)
ival-pow: 5.0ms (4.6% of total)
ival-sub: 4.0ms (3.7% of total)
ival-sinh: 3.0ms (2.8% of total)
ival-neg: 2.0ms (1.8% of total)
ival-add: 1.0ms (0.9% of total)
exact: 1.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series195.0ms (2%)

Memory
-40.1MiB live, 244.0MiB allocated; 26ms collecting garbage
Counts
28 → 141
Calls
Call 1
Inputs
(*.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)))
(/.f32 cosTheta_i v)
(*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v))
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.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 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v)
(*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
(fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 cosTheta_i cosTheta_O)
(*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 cosTheta_O v)
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
#s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1/6 binary32) v)
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
Outputs
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ cosTheta_i v) #s(hole binary32 (/ cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (* 1/2 cosTheta_O) cosTheta_i) v) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (* 1/2 cosTheta_O) cosTheta_i) #s(hole binary32 (* 1/2 (* cosTheta_O cosTheta_i))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))))
#s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))))
#s(approx (* cosTheta_i cosTheta_O) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ cosTheta_O v) cosTheta_i) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* 1/2 cosTheta_O) #s(hole binary32 (* 1/2 cosTheta_O)))
#s(approx (/ cosTheta_O v) #s(hole binary32 (/ cosTheta_O v)))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (+ (* -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)))))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (+ (* (/ 1/6 v) -1) -1/2) #s(hole binary32 (/ -1/6 v)))
#s(approx (+ (* (/ 1/6 v) -1) -1/2) #s(hole binary32 (/ (- (* -1/2 v) 1/6) v)))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (exp (/ -1 v))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (exp (/ 1 v))))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (/ -1 v)))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (/ (- v 1) v)))
#s(approx (/ 1/6 v) #s(hole binary32 (/ 1/6 v)))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ 1 (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3)))))) v)))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (* 1/2 cosTheta_O)))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (- (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 cosTheta_O)) (pow v 2)))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (- (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 cosTheta_O)) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))))))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) (pow v 3))))))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* 1/2 (* cosTheta_O v))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* v (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* v (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* v (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (+ (* (/ 1/6 v) -1) -1/2) #s(hole binary32 -1/2))
#s(approx (+ (* (/ 1/6 v) -1) -1/2) #s(hole binary32 (* -1 (+ 1/2 (* 1/6 (/ 1 v))))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* 2 v)))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3)))))) v)))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 1/2))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/6) (pow v 2)))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/6) (pow v 2))) (* 1/2 (/ (- (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ 1 v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)))
#s(approx (exp (/ -1 v)) #s(hole binary32 1))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- 1 (/ 1 v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))))
#s(approx (exp (/ 1 v)) #s(hole binary32 1))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (/ 1 v))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 1))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (- 1 (/ 1 v))))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 1/2))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (- 1/2 (* 1/12 (/ 1 (pow v 2))))))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 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))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1 (/ (+ (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* -1 (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/6 cosTheta_O)) v))) v)) (* 1/2 cosTheta_O))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/6 cosTheta_O))) (* 1/2 (/ (- (* -1 (* cosTheta_O (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (* 1/12 (/ cosTheta_O (pow v 2))))))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2))))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 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))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ 1/6 (* -1 (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v)))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1/6 (* -1 (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* 1/2 (/ (- (* -1 (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* -1/6 (* sinTheta_O sinTheta_i))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))))
Calls

15 calls:

TimeVariablePointExpression
45.0ms
cosTheta_i
@-inf
((* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* 1/2 cosTheta_O) cosTheta_i) v) (* (* 1/2 cosTheta_O) cosTheta_i) (* 1/2 cosTheta_O) (+ (* (/ 1/6 v) -1) -1/2) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (exp (/ -1 v)) (exp (/ 1 v)) (- 1 (/ 1 v)) (/ 1/6 v) (exp (/ 1 v)) (exp (/ -1 v)) (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))))
18.0ms
cosTheta_i
@0
((* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* 1/2 cosTheta_O) cosTheta_i) v) (* (* 1/2 cosTheta_O) cosTheta_i) (* 1/2 cosTheta_O) (+ (* (/ 1/6 v) -1) -1/2) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (exp (/ -1 v)) (exp (/ 1 v)) (- 1 (/ 1 v)) (/ 1/6 v) (exp (/ 1 v)) (exp (/ -1 v)) (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))))
16.0ms
cosTheta_O
@0
((* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* 1/2 cosTheta_O) cosTheta_i) v) (* (* 1/2 cosTheta_O) cosTheta_i) (* 1/2 cosTheta_O) (+ (* (/ 1/6 v) -1) -1/2) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (exp (/ -1 v)) (exp (/ 1 v)) (- 1 (/ 1 v)) (/ 1/6 v) (exp (/ 1 v)) (exp (/ -1 v)) (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))))
16.0ms
cosTheta_O
@inf
((* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* 1/2 cosTheta_O) cosTheta_i) v) (* (* 1/2 cosTheta_O) cosTheta_i) (* 1/2 cosTheta_O) (+ (* (/ 1/6 v) -1) -1/2) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (exp (/ -1 v)) (exp (/ 1 v)) (- 1 (/ 1 v)) (/ 1/6 v) (exp (/ 1 v)) (exp (/ -1 v)) (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))))
15.0ms
cosTheta_O
@-inf
((* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (* 1/2 cosTheta_O) cosTheta_i) v) (* (* 1/2 cosTheta_O) cosTheta_i) (* 1/2 cosTheta_O) (+ (* (/ 1/6 v) -1) -1/2) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (/ cosTheta_O (* v v)) cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (sinh (/ 1 v)) (exp (/ -1 v)) (exp (/ 1 v)) (- 1 (/ 1 v)) (/ 1/6 v) (exp (/ 1 v)) (exp (/ -1 v)) (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))))

simplify184.0ms (1.9%)

Memory
18.3MiB live, 200.7MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08156719
126586357
082316195
Stop Event
iter limit
node limit
Counts
141 → 141
Calls
Call 1
Inputs
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ cosTheta_i v) #s(hole binary32 (/ cosTheta_i v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (* 1/2 cosTheta_O) cosTheta_i) v) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (* 1/2 cosTheta_O) cosTheta_i) #s(hole binary32 (* 1/2 (* cosTheta_O cosTheta_i))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))))
#s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))))
#s(approx (* cosTheta_i cosTheta_O) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ cosTheta_O v) cosTheta_i) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* 1/2 cosTheta_O) #s(hole binary32 (* 1/2 cosTheta_O)))
#s(approx (/ cosTheta_O v) #s(hole binary32 (/ cosTheta_O v)))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (+ (* -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)))))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (+ (* (/ 1/6 v) -1) -1/2) #s(hole binary32 (/ -1/6 v)))
#s(approx (+ (* (/ 1/6 v) -1) -1/2) #s(hole binary32 (/ (- (* -1/2 v) 1/6) v)))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (exp (/ -1 v))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (exp (/ 1 v))))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (/ -1 v)))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (/ (- v 1) v)))
#s(approx (/ 1/6 v) #s(hole binary32 (/ 1/6 v)))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ 1 (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3)))))) v)))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (* 1/2 cosTheta_O)))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (- (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 cosTheta_O)) (pow v 2)))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (- (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 cosTheta_O)) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))))))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) (pow v 3))))))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* 1/2 (* cosTheta_O v))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* v (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* v (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* v (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (+ (* (/ 1/6 v) -1) -1/2) #s(hole binary32 -1/2))
#s(approx (+ (* (/ 1/6 v) -1) -1/2) #s(hole binary32 (* -1 (+ 1/2 (* 1/6 (/ 1 v))))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* 2 v)))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3)))))) v)))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 1/2))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/6) (pow v 2)))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/6) (pow v 2))) (* 1/2 (/ (- (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))))))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ 1 v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)))
#s(approx (exp (/ -1 v)) #s(hole binary32 1))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- 1 (/ 1 v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))))
#s(approx (exp (/ 1 v)) #s(hole binary32 1))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (/ 1 v))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (+ (/ 1/2 (pow v 2)) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3))))))))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 1))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (- 1 (/ 1 v))))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 1/2))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (- 1/2 (* 1/12 (/ 1 (pow v 2))))))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 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))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1 (/ (+ (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* -1 (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/6 cosTheta_O)) v))) v)) (* 1/2 cosTheta_O))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/6 cosTheta_O))) (* 1/2 (/ (- (* -1 (* cosTheta_O (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (* 1/12 (/ cosTheta_O (pow v 2))))))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2))))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 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))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ 1/6 (* -1 (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v)))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1/6 (* -1 (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* 1/2 (/ (- (* -1 (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* -1/6 (* sinTheta_O sinTheta_i))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))))
Outputs
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ cosTheta_i v) #s(hole binary32 (/ cosTheta_i v)))
#s(approx (/ cosTheta_i v) (/.f32 cosTheta_i v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (* 1/2 cosTheta_O) cosTheta_i) v) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (* 1/2 cosTheta_O) cosTheta_i) v) (*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (* (* 1/2 cosTheta_O) cosTheta_i) #s(hole binary32 (* 1/2 (* cosTheta_O cosTheta_i))))
#s(approx (* (* 1/2 cosTheta_O) cosTheta_i) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (pow v 2))))
#s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v)))))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* cosTheta_i cosTheta_O) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx (* cosTheta_i cosTheta_O) (*.f32 cosTheta_O cosTheta_i))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (/ cosTheta_O v) cosTheta_i) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* (/ cosTheta_O v) cosTheta_i) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (/ (* cosTheta_O (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) (*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_O v)))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (/ cosTheta_O (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* 1/2 cosTheta_O) #s(hole binary32 (* 1/2 cosTheta_O)))
#s(approx (* 1/2 cosTheta_O) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
#s(approx (/ cosTheta_O v) #s(hole binary32 (/ cosTheta_O v)))
#s(approx (/ cosTheta_O v) (/.f32 cosTheta_O v))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (+ (* -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)))))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (fma.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 sinTheta_O cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_i)) sinTheta_i (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) (/.f32 (/.f32 cosTheta_O v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 cosTheta_O v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 cosTheta_O (/.f32 (neg.f32 (/.f32 sinTheta_O (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))) sinTheta_i (/.f32 (/.f32 cosTheta_O v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) (fma.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (/.f32 sinTheta_O (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_i)) sinTheta_i (/.f32 (/.f32 cosTheta_O v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* -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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* 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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#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* -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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#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
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#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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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#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (fma.f32 sinTheta_O (/.f32 (neg.f32 (/.f32 sinTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
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#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (+ (* 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)))))))))
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#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (fma.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 sinTheta_i cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ cosTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
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#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(hole binary32 (+ (* 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)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 sinTheta_i cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (+ (* 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)))))))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (fma.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 sinTheta_i cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 sinTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O (/.f32 (neg.f32 (/.f32 sinTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
#s(approx (+ (* (/ 1/6 v) -1) -1/2) #s(hole binary32 (/ -1/6 v)))
#s(approx (+ (* (/ 1/6 v) -1) -1/2) (/.f32 #s(literal -1/6 binary32) v))
#s(approx (+ (* (/ 1/6 v) -1) -1/2) #s(hole binary32 (/ (- (* -1/2 v) 1/6) v)))
#s(approx (+ (* (/ 1/6 v) -1) -1/2) (/.f32 (fma.f32 #s(literal -1/2 binary32) v #s(literal -1/6 binary32)) v))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* (pow v 2) (- (exp (/ 1 v)) (exp (/ -1 v))))))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (sinh (/ 1 v)) (*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (exp (/ -1 v)) #s(hole binary32 (exp (/ -1 v))))
#s(approx (exp (/ -1 v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
#s(approx (exp (/ 1 v)) #s(hole binary32 (exp (/ 1 v))))
#s(approx (exp (/ 1 v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (/ -1 v)))
#s(approx (- 1 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (/ (- v 1) v)))
#s(approx (- 1 (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
#s(approx (/ 1/6 v) #s(hole binary32 (/ 1/6 v)))
#s(approx (/ 1/6 v) (/.f32 #s(literal 1/6 binary32) v))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ 1 (* v (- (exp (/ 1 v)) (exp (/ -1 v)))))))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 #s(literal 0 binary32) sinTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32))) (*.f32 v v))))) v))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (* cosTheta_i (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3)))))) v)))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 #s(literal 0 binary32) sinTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32))) (*.f32 v v))) (/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) #s(literal 0 binary32)) sinTheta_i (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_i)) sinTheta_O) #s(literal 1/2 binary32))) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) (pow.f32 v #s(literal 3 binary32)))))) v))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (* 1/2 cosTheta_O)))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 cosTheta_O))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i (/.f32 sinTheta_O v))) cosTheta_O)))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (* 1/2 (/ (- (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 cosTheta_O)) (pow v 2)))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) (fma.f32 (/.f32 (*.f32 cosTheta_O (fma.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 #s(literal 0 binary32) sinTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32))) (*.f32 v v)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i (/.f32 sinTheta_O v))) cosTheta_O))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* 1/2 cosTheta_O) (+ (* 1/2 (/ (- (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 cosTheta_O)) (pow v 2))) (* 1/2 (/ (- (* cosTheta_O (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))))))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) (pow v 3))))))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) (fma.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i (/.f32 sinTheta_O v))) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 (*.f32 cosTheta_O (fma.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 #s(literal 0 binary32) sinTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32))) (*.f32 v v)) (/.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) #s(literal 0 binary32)) sinTheta_i (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_i)) sinTheta_O) #s(literal 1/2 binary32))) cosTheta_O (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_O))) (pow.f32 v #s(literal 3 binary32)))) cosTheta_O))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* 1/2 (* cosTheta_O v))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (*.f32 (*.f32 cosTheta_O v) #s(literal 1/2 binary32)))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* v (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (*.f32 (fma.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal -1/12 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_O)) v))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* v (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O))))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (*.f32 (fma.f32 (/.f32 (*.f32 cosTheta_O #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal -1/12 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_O))) v))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* v (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O))) (+ (* -1/720 cosTheta_O) (* 1/5040 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_O) (* 1/120 cosTheta_O)) (pow v 4))) (+ (* -1/12 (/ cosTheta_O (pow v 2))) (* 1/2 cosTheta_O)))))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (*.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 cosTheta_O #s(literal -7/360 binary32)) #s(literal -1/6 binary32) (*.f32 cosTheta_O #s(literal -1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) (/.f32 (*.f32 cosTheta_O #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (fma.f32 (/.f32 (/.f32 cosTheta_O v) v) #s(literal -1/12 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_O))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* 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 v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* 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 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (*.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)) #s(hole binary32 (/ (+ (* -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)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))) #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))))) v))
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#s(approx (+ (* (/ 1/6 v) -1) -1/2) #s(hole binary32 -1/2))
#s(approx (+ (* (/ 1/6 v) -1) -1/2) #s(literal -1/2 binary32))
#s(approx (+ (* (/ 1/6 v) -1) -1/2) #s(hole binary32 (* -1 (+ 1/2 (* 1/6 (/ 1 v))))))
#s(approx (+ (* (/ 1/6 v) -1) -1/2) (-.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
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#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)))
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#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)))
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#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (/ (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (/.f32 (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) v))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/2 (* cosTheta_O cosTheta_i))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (/.f32 (-.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32) (/.f32 (neg.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -7/720 binary32))) (pow.f32 v #s(literal 4 binary32)))) (*.f32 (/.f32 #s(literal 1/12 binary32) v) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))) v))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/72 (* cosTheta_O cosTheta_i)) (* 1/240 (* cosTheta_O cosTheta_i)))) (+ (* -1/1440 (* cosTheta_O cosTheta_i)) (* 1/10080 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* 1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))) v)))
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#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* 2 v)))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 #s(literal 2 binary32) v))
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#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.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))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v))
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#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 1/2))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(literal 1/2 binary32))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i (/.f32 sinTheta_O v)) #s(literal 1/2 binary32)))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/6) (pow v 2)))))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 sinTheta_i (/.f32 sinTheta_O v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 #s(literal 0 binary32) sinTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))) #s(literal -1/6 binary32)) (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) 1/6) (pow v 2))) (* 1/2 (/ (- (+ (* -1/6 (* sinTheta_i (+ (* -3 (pow sinTheta_O 3)) (+ (* 2 (pow sinTheta_O 3)) (pow sinTheta_O 3))))) (+ (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* 1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))))))))
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#s(approx (sinh (/ 1 v)) (/.f32 #s(literal 1 binary32) v))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)))
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#s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)))
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#s(approx (exp (/ -1 v)) #s(hole binary32 1))
#s(approx (exp (/ -1 v)) #s(literal 1 binary32))
#s(approx (exp (/ -1 v)) #s(hole binary32 (- 1 (/ 1 v))))
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#s(approx (exp (/ -1 v)) (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/6 binary32) (pow.f32 v #s(literal 3 binary32)))))
#s(approx (exp (/ 1 v)) #s(hole binary32 1))
#s(approx (exp (/ 1 v)) #s(literal 1 binary32))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (/ 1 v))))
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#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (+ (/ 1/2 (pow v 2)) (/ 1 v)))))
#s(approx (exp (/ 1 v)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 v v))))
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#s(approx (- 1 (/ 1 v)) #s(hole binary32 1))
#s(approx (- 1 (/ 1 v)) #s(literal 1 binary32))
#s(approx (- 1 (/ 1 v)) #s(hole binary32 (- 1 (/ 1 v))))
#s(approx (- 1 (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 1/2))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(literal 1/2 binary32))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (- 1/2 (* 1/12 (/ 1 (pow v 2))))))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (- (+ 1/2 (/ 7/720 (pow v 4))) (* 1/12 (/ 1 (pow v 2))))))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (-.f32 (-.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (- (+ 1/2 (/ 7/720 (pow v 4))) (+ (* 1/12 (/ 1 (pow v 2))) (* 31/30240 (/ 1 (pow v 6)))))))
#s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 7/720 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/12 binary32) (*.f32 v v))) (/.f32 #s(literal 31/30240 binary32) (pow.f32 v #s(literal 6 binary32)))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))) (neg.f32 v)))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 #s(literal 0 binary32) sinTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)))) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 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))))
#s(approx (* (/ cosTheta_i v) (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v))) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) #s(literal 0 binary32)) sinTheta_i) (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_i)) sinTheta_O) #s(literal -1/2 binary32))) (*.f32 (*.f32 #s(literal 1/6 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))) v) (fma.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 #s(literal 0 binary32) sinTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)))) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1 (/ (+ (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (- (* -1 (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/6 cosTheta_O)) v))) v)) (* 1/2 cosTheta_O))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) (fma.f32 #s(literal 1/2 binary32) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 sinTheta_O cosTheta_O) sinTheta_i (/.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 #s(literal 0 binary32) sinTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)))) (*.f32 #s(literal 1/6 binary32) cosTheta_O)) v))) (neg.f32 v))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1 (* cosTheta_O (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/6 cosTheta_O))) (* 1/2 (/ (- (* -1 (* cosTheta_O (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))))))) (* -1/6 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v))) v)) (* 1/2 (* cosTheta_O (* sinTheta_O sinTheta_i)))) v)) (* 1/2 cosTheta_O))))
#s(approx (* (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v)) (fma.f32 #s(literal 1/2 binary32) cosTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_O) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 #s(literal 0 binary32) sinTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)))) (*.f32 #s(literal 1/6 binary32) cosTheta_O)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) #s(literal 0 binary32)) sinTheta_i) (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_i)) sinTheta_O) #s(literal -1/2 binary32))) (*.f32 (*.f32 #s(literal 1/6 binary32) cosTheta_O) (*.f32 sinTheta_i sinTheta_O))) v))) (neg.f32 v))) (neg.f32 v))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (* 1/12 (/ cosTheta_O (pow v 2))))))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (*.f32 (neg.f32 v) (fma.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v) (*.f32 #s(literal -1/2 binary32) cosTheta_O))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2)))))))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (*.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) (+.f32 cosTheta_O (/.f32 (*.f32 cosTheta_O #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (*.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v)))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) #s(hole binary32 (* -1 (* v (+ (* -1/2 cosTheta_O) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O))) (+ (* -1/5040 cosTheta_O) (* 1/720 cosTheta_O))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_O) (* 1/36 cosTheta_O)) (pow v 4))) (* 1/12 (/ cosTheta_O (pow v 2))))))))))
#s(approx (/ (/ cosTheta_O 2) (sinh (/ 1 v))) (*.f32 (neg.f32 v) (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 cosTheta_O #s(literal 7/360 binary32)) #s(literal -1/6 binary32) (*.f32 cosTheta_O #s(literal 1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) (/.f32 (*.f32 cosTheta_O #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (fma.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 cosTheta_O v) v) (*.f32 #s(literal -1/2 binary32) cosTheta_O)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) 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 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* -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))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32)) (*.f32 sinTheta_i sinTheta_O)))) v) (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (*.f32 sinTheta_i sinTheta_i)) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (/.f32 (fma.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))) #s(literal -7/720 binary32) (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)))) (neg.f32 v)))
#s(approx (/ (* (/ cosTheta_O (* v v)) cosTheta_i) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 7/720 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/1680 binary32)))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 7/720 binary32)) (pow.f32 v #s(literal 4 binary32))))) (neg.f32 v)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (/.f32 (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i))) (pow v 4))) (* -1/2 (* cosTheta_O cosTheta_i))) (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (/.f32 (fma.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (pow.f32 v #s(literal 4 binary32)))) #s(literal -7/720 binary32) (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta_O cosTheta_i)))) (neg.f32 v)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/240 (* cosTheta_O cosTheta_i)) (* 1/72 (* cosTheta_O cosTheta_i)))) (+ (* -1/10080 (* cosTheta_O cosTheta_i)) (* 1/1440 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* -1/2 (* cosTheta_O cosTheta_i))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/240 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/72 (/ (* cosTheta_O cosTheta_i) (pow v 4)))))) v))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v))))) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 7/720 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/1680 binary32)))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (/.f32 #s(literal -1/12 binary32) v) (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 7/720 binary32)) (pow.f32 v #s(literal 4 binary32))))) (neg.f32 v)))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))))
#s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/60 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))) (neg.f32 v)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 #s(literal 0 binary32) sinTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)))) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1 (* cosTheta_O (* cosTheta_i (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 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))))
#s(approx (* (* (/ cosTheta_O v) cosTheta_i) (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v))))) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) #s(literal 0 binary32)) sinTheta_i) (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_i)) sinTheta_O) #s(literal -1/2 binary32))) (*.f32 (*.f32 #s(literal 1/6 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))) v) (fma.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 #s(literal 0 binary32) sinTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)))) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))))) (neg.f32 v))) (neg.f32 v))) (neg.f32 v)))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ 1/6 (* -1 (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v))) v)))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_i sinTheta_O (/.f32 (-.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 #s(literal 0 binary32) sinTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))))) v))) v)))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1/6 (* -1 (+ (* -1/2 (* sinTheta_i (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2)))) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))) (* 1/2 (/ (- (* -1 (+ (* -1/2 (* sinTheta_O (* (pow sinTheta_i 2) (+ (* -1 (pow sinTheta_O 2)) (pow sinTheta_O 2))))) (+ (* -1/6 (* sinTheta_i (+ (* -2 (pow sinTheta_O 3)) (+ (* -1 (pow sinTheta_O 3)) (* 3 (pow sinTheta_O 3)))))) (* 1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3)))))) (* -1/6 (* sinTheta_O sinTheta_i))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))))
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_i (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 #s(literal 0 binary32) sinTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))))) (/.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) #s(literal 0 binary32)) sinTheta_i) (pow.f32 (*.f32 sinTheta_i sinTheta_O) #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 #s(literal 0 binary32) (*.f32 sinTheta_i sinTheta_i)) sinTheta_O) #s(literal -1/2 binary32))) #s(literal -1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 sinTheta_i sinTheta_O))) v))) (neg.f32 v))) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32))) (neg.f32 v)))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))))
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v)) v)))
#s(approx (exp (/ -1 v)) #s(hole binary32 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))))
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/6 binary32) v)) v)) v)))
#s(approx (exp (/ 1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))))
#s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal 1/2 binary32)) v) #s(literal 1 binary32)) v)))

rewrite102.0ms (1.1%)

Memory
25.4MiB live, 70.4MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078435
0119431
1364422
02289422
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
28 → 250
Calls
Call 1
Inputs
(*.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)))
(/.f32 cosTheta_i v)
(*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v))
(/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.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 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v)
(*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i)
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
(fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))))))
(*.f32 cosTheta_i cosTheta_O)
(*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 cosTheta_O v)
#s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
#s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
#s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1/6 binary32) v)
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
Outputs
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v))
(*.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i v))
(*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)))
(*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (/.f32 cosTheta_i v)))
(*.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_i (/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v))
(/.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_O #s(literal 2 binary32))) v) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i v)) v)
(/.f32 (*.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_O #s(literal 2 binary32))) (/.f32 cosTheta_i v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (*.f32 (neg.f32 cosTheta_i) (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (neg.f32 v))
(/.f32 (*.f32 (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)) (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (neg.f32 v))
(/.f32 (*.f32 (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))) v)
(/.f32 (*.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 cosTheta_i)) (neg.f32 v))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_O #s(literal 2 binary32))) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) v)
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_O #s(literal 2 binary32)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (neg.f32 (*.f32 (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v))) (neg.f32 v))
(/.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_O #s(literal 2 binary32))) v) (neg.f32 cosTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)))
(/.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_O #s(literal 2 binary32))) v) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (*.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (neg.f32 cosTheta_i)) (*.f32 (neg.f32 v) v))
(/.f32 (*.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) cosTheta_i) (*.f32 v v))
(/.f32 (*.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_O #s(literal 2 binary32))) (neg.f32 cosTheta_i)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (neg.f32 v)))
(/.f32 (*.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_O #s(literal 2 binary32))) cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) v))
(/.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_O #s(literal 2 binary32))) v)) (*.f32 (neg.f32 v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (neg.f32 cosTheta_i) (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 (neg.f32 v) v))
(/.f32 (*.f32 (neg.f32 cosTheta_i) (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_O #s(literal 2 binary32)))) (*.f32 (neg.f32 v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 (*.f32 cosTheta_i (/.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_O #s(literal 2 binary32))) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (*.f32 cosTheta_i (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v v))
(/.f32 (*.f32 cosTheta_i (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (/.f32 cosTheta_O #s(literal 2 binary32)))) (*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 (*.f32 (*.f32 cosTheta_i (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)) v)
(/.f32 (neg.f32 (neg.f32 cosTheta_i)) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 cosTheta_i) (neg.f32 v))
(/.f32 cosTheta_i v)
(neg.f32 (/.f32 (neg.f32 cosTheta_i) v))
(neg.f32 (/.f32 cosTheta_i (neg.f32 v)))
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(exp.f32 (/.f32 #s(literal -1 binary32) v))
(*.f32 (/.f32 (/.f32 #s(literal 1 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 -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.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))))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(/.f32 #s(literal -1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32))
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32))))
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

eval74.0ms (0.8%)

Memory
-7.0MiB live, 94.7MiB allocated; 31ms collecting garbage
Compiler

Compiled 19 657 to 1 899 computations (90.3% saved)

prune119.0ms (1.2%)

Memory
-18.6MiB live, 174.2MiB allocated; 35ms collecting garbage
Pruning

57 alts after pruning (50 fresh and 7 done)

PrunedKeptTotal
New38817405
Fresh73340
Picked325
Done055
Total39857455
Accuracy
99.7%
Counts
455 → 57
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
97.5%
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
98.1%
(/.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) v)
98.7%
(/.f32 (*.f32 #s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (-.f32 cosTheta_i (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.5%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #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))
97.8%
(/.f32 (*.f32 cosTheta_O (*.f32 #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_i)) v)
98.5%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (neg.f32 v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.2%
(/.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))
70.0%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
63.3%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
98.2%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
98.0%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #s(literal 1 binary32)) v))
98.5%
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.8%
(*.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)))
98.6%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v))
98.6%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
98.5%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
98.5%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
98.2%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
97.2%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.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))))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32)))))))
98.3%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (*.f32 (/.f32 (/.f32 #s(literal 1 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 -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
98.3%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
57.2%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(literal 1/2 binary32))))
98.4%
(*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
98.2%
#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) (*.f32 (*.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
70.0%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 v)))))
63.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
57.2%
#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))
57.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))))
64.9%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) (/.f32 #s(literal -1 binary32) v)))))))
67.7%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) #s(literal 1 binary32)))))))
63.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
70.0%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32))))))
60.9%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))) (*.f32 v v)))
97.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v v)))
60.8%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 v (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))))
98.2%
#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 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
60.8%
#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 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))))
98.3%
#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 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
70.0%
#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 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))))))
63.4%
#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 #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))))))
60.8%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 (/.f32 cosTheta_i (*.f32 (*.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O))
92.7%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.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))))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
96.0%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.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 -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i (*.f32 (*.f32 v v) #s(literal 2 binary32))) (/.f32 cosTheta_O (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_O (*.f32 (*.f32 v v) #s(literal 2 binary32))) (/.f32 cosTheta_i (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v)))
98.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
57.2%
#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) cosTheta_O) (/.f32 cosTheta_i v)))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
98.3%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
57.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
Compiler

Compiled 5 998 to 2 208 computations (63.2% saved)

regimes271.0ms (2.8%)

Memory
15.0MiB live, 393.9MiB allocated; 56ms collecting garbage
Counts
96 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) 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))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(literal 1/2 binary32))))
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 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 (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #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))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 cosTheta_i) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))))))
#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 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 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 cosTheta_i v)) (*.f32 v (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 cosTheta_i (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))) (*.f32 v 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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 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 (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 #s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) 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 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) #s(literal 1 binary32)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.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 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O v) (/.f32 cosTheta_i (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O (*.f32 (*.f32 v v) #s(literal 2 binary32))) (/.f32 cosTheta_i (sinh.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 cosTheta_i (*.f32 (*.f32 v v) #s(literal 2 binary32))) (/.f32 cosTheta_O (sinh.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_i (*.f32 (*.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v 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 (*.f32 v v)) cosTheta_i) (*.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) (*.f32 (*.f32 v v) #s(literal 2 binary32))) (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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) (/.f32 #s(literal -1 binary32) v)))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_i)) 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 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (*.f32 #s(literal 2 binary32) (sinh.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 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 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 (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #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 (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)) v))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 #s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (-.f32 cosTheta_i (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (neg.f32 v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #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(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i sinTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_i))) (*.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)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.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_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (exp.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 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (*.f32 #s(literal 2 binary32) v) (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)) v))
(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(/.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) v)
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 (*.f32 v v)) cosTheta_i) (+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v))
(*.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)))
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 (neg.f32 cosTheta_i) (/.f32 cosTheta_O v))) (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)))
(/.f32 (*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O #s(literal 2 binary32))) (sinh.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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (pow.f32 (exp.f32 (neg.f32 sinTheta_O)) (/.f32 sinTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.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 -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (*.f32 (/.f32 (/.f32 #s(literal 1 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 -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))))))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 (pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 (/.f32 sinTheta_O v) #s(literal 2 binary32))) (pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 (/.f32 sinTheta_O v) #s(literal 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 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (-.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))))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) v) (-.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))))) (fma.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (+.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) (exp.f32 (/.f32 #s(literal 1 binary32) v))) (exp.f32 (*.f32 (/.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)) (fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i sinTheta_i)) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_O)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 (-.f32 (*.f32 (cosh.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (cosh.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i))) (*.f32 (sinh.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i)) (sinh.f32 (*.f32 (/.f32 sinTheta_O v) sinTheta_i)))) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
Outputs
(*.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)))
Calls

8 calls:

56.0ms
(*.f32 cosTheta_i cosTheta_O)
43.0ms
cosTheta_O
42.0ms
sinTheta_i
26.0ms
v
26.0ms
sinTheta_O
Results
AccuracySegmentsBranch
98.8%1(*.f32 cosTheta_i cosTheta_O)
98.8%1(*.f32 sinTheta_i sinTheta_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%1cosTheta_i
98.8%1cosTheta_O
98.8%1sinTheta_i
98.8%1sinTheta_O
98.8%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes195.0ms (2%)

Memory
-18.6MiB live, 273.2MiB allocated; 29ms collecting garbage
Counts
82 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) 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))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(literal 1/2 binary32))))
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 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 (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #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))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 cosTheta_i) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))))))
#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 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))))
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(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 (*.f32 v v)) cosTheta_i) (+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v))
Outputs
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Calls

8 calls:

47.0ms
v
28.0ms
cosTheta_i
21.0ms
sinTheta_i
20.0ms
(*.f32 sinTheta_i sinTheta_O)
19.0ms
sinTheta_O
Results
AccuracySegmentsBranch
98.8%1(*.f32 cosTheta_i cosTheta_O)
98.8%1(*.f32 sinTheta_i sinTheta_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%1cosTheta_i
98.8%1cosTheta_O
98.8%1sinTheta_i
98.8%1sinTheta_O
98.8%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes220.0ms (2.3%)

Memory
15.5MiB live, 201.4MiB allocated; 18ms collecting garbage
Counts
80 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) 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))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(literal 1/2 binary32))))
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 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 (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #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))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 cosTheta_i) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))))))
#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 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 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 cosTheta_i v)) (*.f32 v (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 cosTheta_i (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))) (*.f32 v 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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 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 (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 #s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) 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 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) #s(literal 1 binary32)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.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 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O v) (/.f32 cosTheta_i (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O (*.f32 (*.f32 v v) #s(literal 2 binary32))) (/.f32 cosTheta_i (sinh.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 cosTheta_i (*.f32 (*.f32 v v) #s(literal 2 binary32))) (/.f32 cosTheta_O (sinh.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_i (*.f32 (*.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v 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 (*.f32 v v)) cosTheta_i) (*.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) (*.f32 (*.f32 v v) #s(literal 2 binary32))) (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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) (/.f32 #s(literal -1 binary32) v)))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_i)) 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 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (*.f32 #s(literal 2 binary32) (sinh.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 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 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 (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #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 (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)) v))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 #s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (-.f32 cosTheta_i (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (neg.f32 v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #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(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i sinTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_i))) (*.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)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.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_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (exp.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 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (*.f32 #s(literal 2 binary32) v) (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)) v))
(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(/.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) v)
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 (*.f32 v v)) cosTheta_i) (+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (-.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
Outputs
(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
Calls

8 calls:

54.0ms
cosTheta_O
40.0ms
(*.f32 cosTheta_i cosTheta_O)
26.0ms
cosTheta_i
25.0ms
sinTheta_O
19.0ms
sinTheta_i
Results
AccuracySegmentsBranch
98.7%1(*.f32 cosTheta_i cosTheta_O)
98.7%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))
98.7%1cosTheta_O
98.7%1(*.f32 sinTheta_i sinTheta_O)
98.7%1cosTheta_i
98.7%1sinTheta_i
98.7%1sinTheta_O
98.7%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes157.0ms (1.6%)

Memory
16.6MiB live, 202.6MiB allocated; 17ms collecting garbage
Counts
71 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) 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))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(literal 1/2 binary32))))
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 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 (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #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))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 cosTheta_i) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))))))
#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 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 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 cosTheta_i v)) (*.f32 v (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 cosTheta_i (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))) (*.f32 v 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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 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 (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 #s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) 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 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) #s(literal 1 binary32)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.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 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O v) (/.f32 cosTheta_i (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O (*.f32 (*.f32 v v) #s(literal 2 binary32))) (/.f32 cosTheta_i (sinh.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 cosTheta_i (*.f32 (*.f32 v v) #s(literal 2 binary32))) (/.f32 cosTheta_O (sinh.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_i (*.f32 (*.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v 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 (*.f32 v v)) cosTheta_i) (*.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) (*.f32 (*.f32 v v) #s(literal 2 binary32))) (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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) (/.f32 #s(literal -1 binary32) v)))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_i)) 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 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (*.f32 #s(literal 2 binary32) (sinh.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 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 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 (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #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 (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)) v))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 #s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (-.f32 cosTheta_i (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (neg.f32 v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #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(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 cosTheta_i sinTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_i))) (*.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)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.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_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (exp.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 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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) (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.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)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) v))
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (*.f32 #s(literal 2 binary32) v) (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)) v))
Outputs
(/.f32 (*.f32 #s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (-.f32 cosTheta_i (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
Calls

8 calls:

24.0ms
(/.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))
24.0ms
sinTheta_O
22.0ms
cosTheta_O
17.0ms
sinTheta_i
17.0ms
v
Results
AccuracySegmentsBranch
98.7%1(*.f32 cosTheta_i cosTheta_O)
98.7%1(*.f32 sinTheta_i sinTheta_O)
98.7%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))
98.7%1cosTheta_i
98.7%1cosTheta_O
98.7%1sinTheta_i
98.7%1sinTheta_O
98.7%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes166.0ms (1.7%)

Memory
-5.7MiB live, 261.7MiB allocated; 74ms collecting garbage
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) 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))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(literal 1/2 binary32))))
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 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 (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #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))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 cosTheta_i) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))))))
#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 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 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 cosTheta_i v)) (*.f32 v (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 cosTheta_i (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))) (*.f32 v 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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 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 (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 #s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) 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 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) #s(literal 1 binary32)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.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 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O v) (/.f32 cosTheta_i (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O (*.f32 (*.f32 v v) #s(literal 2 binary32))) (/.f32 cosTheta_i (sinh.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 cosTheta_i (*.f32 (*.f32 v v) #s(literal 2 binary32))) (/.f32 cosTheta_O (sinh.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_i (*.f32 (*.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v 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 (*.f32 v v)) cosTheta_i) (*.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) (*.f32 (*.f32 v v) #s(literal 2 binary32))) (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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) (/.f32 #s(literal -1 binary32) v)))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_i)) 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 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (*.f32 #s(literal 2 binary32) (sinh.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 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 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 (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #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 (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)) v))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
Calls

8 calls:

36.0ms
(/.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))
28.0ms
sinTheta_i
27.0ms
v
17.0ms
cosTheta_i
16.0ms
(*.f32 sinTheta_i sinTheta_O)
Results
AccuracySegmentsBranch
98.5%1(*.f32 cosTheta_i cosTheta_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%1cosTheta_i
98.5%1cosTheta_O
98.5%1sinTheta_i
98.5%1sinTheta_O
98.5%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes139.0ms (1.4%)

Memory
-35.2MiB live, 151.4MiB allocated; 17ms collecting garbage
Counts
55 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) 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))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(literal 1/2 binary32))))
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 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 (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #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))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 cosTheta_i) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))))))
#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 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 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 cosTheta_i v)) (*.f32 v (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 cosTheta_i (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))) (*.f32 v 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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 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 (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 #s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) 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 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) #s(literal 1 binary32)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.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 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O v) (/.f32 cosTheta_i (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O (*.f32 (*.f32 v v) #s(literal 2 binary32))) (/.f32 cosTheta_i (sinh.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 cosTheta_i (*.f32 (*.f32 v v) #s(literal 2 binary32))) (/.f32 cosTheta_O (sinh.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_i (*.f32 (*.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v 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 (*.f32 v v)) cosTheta_i) (*.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) (*.f32 (*.f32 v v) #s(literal 2 binary32))) (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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) (/.f32 #s(literal -1 binary32) v)))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_i)) 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 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (*.f32 #s(literal 2 binary32) (sinh.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 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 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 (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (* (neg sinTheta_i) (/ sinTheta_O v))) #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 (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 (/.f32 cosTheta_O #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 cosTheta_i v)) v))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
Outputs
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
Calls

8 calls:

39.0ms
sinTheta_i
17.0ms
(*.f32 cosTheta_i cosTheta_O)
14.0ms
v
13.0ms
sinTheta_O
13.0ms
cosTheta_O
Results
AccuracySegmentsBranch
98.5%1(*.f32 cosTheta_i cosTheta_O)
98.5%1(*.f32 sinTheta_i sinTheta_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%1cosTheta_i
98.5%1cosTheta_O
98.5%1sinTheta_i
98.5%1sinTheta_O
98.5%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes125.0ms (1.3%)

Memory
-1.2MiB live, 189.1MiB allocated; 22ms collecting garbage
Counts
50 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) 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))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(literal 1/2 binary32))))
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 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 (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #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))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 cosTheta_i) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))))))
#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 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 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 cosTheta_i v)) (*.f32 v (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 cosTheta_i (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))) (*.f32 v 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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 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 (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 #s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) 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 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) #s(literal 1 binary32)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.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 cosTheta_O cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) (sinh.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_i (/.f32 (/.f32 cosTheta_O v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O v) (/.f32 cosTheta_i (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.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 cosTheta_O (*.f32 (*.f32 v v) #s(literal 2 binary32))) (/.f32 cosTheta_i (sinh.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 cosTheta_i (*.f32 (*.f32 v v) #s(literal 2 binary32))) (/.f32 cosTheta_O (sinh.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_i (*.f32 (*.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) cosTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (*.f32 v 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 (*.f32 v v)) cosTheta_i) (*.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) (*.f32 (*.f32 v v) #s(literal 2 binary32))) (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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) (/.f32 #s(literal -1 binary32) v)))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(/.f32 (*.f32 cosTheta_O (*.f32 #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) cosTheta_i)) 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 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 cosTheta_O v) (*.f32 #s(literal 2 binary32) (sinh.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 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 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 (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) (/.f32 #s(literal -1 binary32) v))))))
Outputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
Calls

8 calls:

29.0ms
cosTheta_i
15.0ms
sinTheta_O
14.0ms
(*.f32 sinTheta_i sinTheta_O)
13.0ms
v
12.0ms
sinTheta_i
Results
AccuracySegmentsBranch
98.4%1(*.f32 cosTheta_i cosTheta_O)
98.4%1(*.f32 sinTheta_i sinTheta_O)
98.4%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))
98.4%1cosTheta_i
98.4%1cosTheta_O
98.4%1sinTheta_i
98.4%1sinTheta_O
98.4%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes60.0ms (0.6%)

Memory
34.4MiB live, 126.0MiB allocated; 7ms collecting garbage
Counts
27 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) 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))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(literal 1/2 binary32))))
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 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 (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #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))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 cosTheta_i) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))))))
#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 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 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 cosTheta_i v)) (*.f32 v (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 cosTheta_i (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))) (*.f32 v 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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 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 (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 #s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) 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 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) #s(literal 1 binary32)))))))
Outputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) #s(literal 1 binary32)))))))
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32))))))
Calls

8 calls:

10.0ms
sinTheta_i
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))
7.0ms
v
7.0ms
sinTheta_O
7.0ms
cosTheta_O
Results
AccuracySegmentsBranch
70.0%1(*.f32 cosTheta_i cosTheta_O)
70.0%1(*.f32 sinTheta_i sinTheta_O)
70.0%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
70.0%1cosTheta_i
70.0%1cosTheta_O
70.0%1sinTheta_i
70.0%1sinTheta_O
76.7%2v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes35.0ms (0.4%)

Memory
-18.6MiB live, 27.8MiB allocated; 2ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) 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))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(literal 1/2 binary32))))
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 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 (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #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))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 cosTheta_i) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))))))
#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 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)) (neg.f32 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 cosTheta_i v)) (*.f32 v (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 cosTheta_i (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) v) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))))) (*.f32 v 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 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 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 (*.f32 v v)) cosTheta_i) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 #s(approx (* (/ cosTheta_O (* v v)) cosTheta_i) (*.f32 (/.f32 (/.f32 cosTheta_O v) v) cosTheta_i)) (-.f32 #s(approx (exp (/ 1 v)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal -1 binary32) #s(literal -1/2 binary32)) v) #s(literal 1 binary32)) v))) #s(approx (exp (/ -1 v)) (-.f32 #s(literal 1 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 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) 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 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
Outputs
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32))))))
Calls

2 calls:

26.0ms
cosTheta_O
7.0ms
v
Results
AccuracySegmentsBranch
70.0%1cosTheta_O
70.0%1v
Compiler

Compiled 2 to 10 computations (-400% saved)

regimes69.0ms (0.7%)

Memory
-13.7MiB live, 37.0MiB allocated; 6ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) 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))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(literal 1/2 binary32))))
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 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 (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #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))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 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 (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
Calls

8 calls:

39.0ms
(*.f32 cosTheta_i cosTheta_O)
4.0ms
v
4.0ms
sinTheta_O
4.0ms
sinTheta_i
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
63.4%1(*.f32 cosTheta_i cosTheta_O)
63.4%1sinTheta_i
63.4%1(*.f32 sinTheta_i sinTheta_O)
63.4%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))
63.4%1sinTheta_O
63.4%1cosTheta_i
63.4%1cosTheta_O
63.4%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes34.0ms (0.4%)

Memory
27.6MiB live, 70.8MiB allocated; 6ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) 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))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(literal 1/2 binary32))))
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (* (* v v) (- (exp (/ 1 v)) (exp (/ -1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 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 (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 #s(literal 2 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v 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 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) (*.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 cosTheta_O cosTheta_i) (*.f32 (*.f32 v v) (*.f32 #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))))))
Outputs
#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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
Calls

8 calls:

7.0ms
(*.f32 cosTheta_i cosTheta_O)
4.0ms
sinTheta_O
4.0ms
sinTheta_i
4.0ms
v
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
63.4%1cosTheta_i
63.4%1sinTheta_O
63.4%1(*.f32 cosTheta_i cosTheta_O)
63.4%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))
63.4%1cosTheta_O
63.4%1v
63.4%1(*.f32 sinTheta_i sinTheta_O)
63.4%1sinTheta_i
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes22.0ms (0.2%)

Memory
4.9MiB live, 48.6MiB allocated; 4ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) 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))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) #s(approx (/ (/ 1 v) (- (exp (/ 1 v)) (exp (/ -1 v)))) #s(literal 1/2 binary32))))
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:

5.0ms
cosTheta_O
2.0ms
cosTheta_i
2.0ms
sinTheta_i
2.0ms
sinTheta_O
2.0ms
v
Results
AccuracySegmentsBranch
57.2%1v
57.2%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))
57.2%1cosTheta_i
57.2%1cosTheta_O
57.2%1sinTheta_i
57.2%1(*.f32 cosTheta_i cosTheta_O)
57.2%1sinTheta_O
57.2%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes17.0ms (0.2%)

Memory
-4.2MiB live, 40.3MiB allocated; 4ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.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 #s(literal 1/2 binary32) cosTheta_O) (/.f32 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 v) cosTheta_i) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
Outputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
Calls

8 calls:

4.0ms
cosTheta_i
2.0ms
v
2.0ms
sinTheta_O
2.0ms
sinTheta_i
2.0ms
cosTheta_O
Results
AccuracySegmentsBranch
57.2%1(*.f32 cosTheta_i cosTheta_O)
57.2%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))
57.2%1cosTheta_O
57.2%1cosTheta_i
57.2%1sinTheta_O
57.2%1(*.f32 sinTheta_i sinTheta_O)
57.2%1sinTheta_i
57.2%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes12.0ms (0.1%)

Memory
30.9MiB live, 30.9MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

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

8 calls:

2.0ms
sinTheta_i
2.0ms
sinTheta_O
1.0ms
v
1.0ms
cosTheta_i
1.0ms
cosTheta_O
Results
AccuracySegmentsBranch
57.2%1(*.f32 cosTheta_i cosTheta_O)
57.2%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))
57.2%1cosTheta_O
57.2%1cosTheta_i
57.2%1sinTheta_O
57.2%1v
57.2%1sinTheta_i
57.2%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 33 to 56 computations (-69.7% saved)

bsearch13.0ms (0.1%)

Memory
-63.5MiB live, 1.0MiB allocated; 13ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.33481112122535706
0.3352411091327667
Compiler

Compiled 25 to 27 computations (-8% saved)

simplify54.0ms (0.6%)

Memory
5.4MiB live, 51.9MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0129547
1224547
2503537
32091537
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 #s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (-.f32 cosTheta_i (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.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 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(if (<=.f32 v #s(literal 11240735/33554432 binary32)) #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) #s(literal 1 binary32))))))) #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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_O cosTheta_i) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 cosTheta_i) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 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 (*.f32 #s(literal 1/2 binary32) 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 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
Outputs
(*.f32 (/.f32 cosTheta_i v) (*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v)))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 #s(approx (* (exp (* (neg sinTheta_i) (/ sinTheta_O v))) cosTheta_i) (-.f32 cosTheta_i (*.f32 cosTheta_i (*.f32 sinTheta_i (/.f32 sinTheta_O v))))) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) 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 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (/ (/ (pow (exp (/ sinTheta_O v)) (neg sinTheta_i)) v) (* 2 (sinh (/ 1 v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (*.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 cosTheta_i (/.f32 cosTheta_O (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))))
(if (<=.f32 v #s(literal 11240735/33554432 binary32)) #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(approx (exp (/ -1 v)) #s(approx (- 1 (/ 1 v)) #s(literal 1 binary32))))))) #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) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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 cosTheta_O cosTheta_i) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v 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_O (*.f32 v v)) cosTheta_i) #s(approx (- (exp (/ 1 v)) (exp (/ -1 v))) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 cosTheta_i) #s(approx (* (* v v) (* 2 (sinh (/ 1 v)))) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 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 (*.f32 #s(literal 1/2 binary32) 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 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))

derivations412.0ms (4.3%)

Memory
32.8MiB live, 412.2MiB allocated; 23ms collecting garbage
Stop Event
fuel
Compiler

Compiled 547 to 132 computations (75.9% saved)

preprocess196.0ms (2%)

Memory
-14.2MiB live, 219.5MiB allocated; 30ms collecting garbage
Remove

(sort sinTheta_i sinTheta_O)

(negabs cosTheta_i)

Compiler

Compiled 1 402 to 530 computations (62.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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