HairBSDF, Mp, upper

Time bar (total: 6.4s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze419.0ms (6.6%)

Memory
26.4MiB live, 580.1MiB allocated; 154ms 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)

sample1.2s (19.5%)

Memory
-9.2MiB live, 1 543.3MiB allocated; 290ms collecting garbage
Samples
902.0ms8 253×0valid
1.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 610.0ms
ival-div!: 219.0ms (35.9% of total)
ival-mult!: 175.0ms (28.7% of total)
ival-sinh: 83.0ms (13.6% of total)
ival-exp: 62.0ms (10.2% of total)
ival-neg: 41.0ms (6.7% of total)
ival-<=: 13.0ms (2.1% of total)
ival-and: 8.0ms (1.3% of total)
ival-<: 6.0ms (1% of total)
adjust: 2.0ms (0.3% of total)
ival-assert: 2.0ms (0.3% of total)
Bogosity

preprocess77.0ms (1.2%)

Memory
8.0MiB live, 54.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0141467
1667456
23011456
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(/.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))
Symmetry

(negabs cosTheta_i)

(negabs cosTheta_O)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 44 to 38 computations (13.6% saved)

series75.0ms (1.2%)

Memory
18.4MiB live, 109.6MiB allocated; 9ms collecting garbage
Counts
19 → 66
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
#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)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (/ (* cosTheta_i cosTheta_O) v) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* cosTheta_i cosTheta_O) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx cosTheta_i #s(hole binary32 cosTheta_i))
#s(approx cosTheta_O #s(hole 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 (/ (* 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 (+ (* -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 (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 (* sinTheta_i sinTheta_O) #s(hole binary32 (* sinTheta_O sinTheta_i)))
#s(approx sinTheta_i #s(hole binary32 sinTheta_i))
#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)) (* (* (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 sinTheta_O #s(hole binary32 sinTheta_O))
#s(approx v #s(hole 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) #s(hole binary32 (- (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 (/ 1 v) #s(hole binary32 (/ 1 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* 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 (* (* (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 (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ 2 v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) 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 (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 (* (sinh (/ 1 v)) 2) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))))
#s(approx (* (sinh (/ 1 v)) 2) #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 (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:

TimeVariablePoint
10.0ms
v
-inf
7.0ms
sinTheta_i
-inf
7.0ms
v
inf
6.0ms
sinTheta_i
inf
6.0ms
cosTheta_i
0

rewrite179.0ms (2.8%)

Memory
-14.4MiB live, 235.3MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04412555
04602403
126332310
084152233
Stop Event
iter-limit
node-limit
iter-limit
Counts
85 → 145
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)
#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)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (/ (* cosTheta_i cosTheta_O) v) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* cosTheta_i cosTheta_O) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx cosTheta_i #s(hole binary32 cosTheta_i))
#s(approx cosTheta_O #s(hole 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 (/ (* 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 (+ (* -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 (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 (* sinTheta_i sinTheta_O) #s(hole binary32 (* sinTheta_O sinTheta_i)))
#s(approx sinTheta_i #s(hole binary32 sinTheta_i))
#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)) (* (* (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 sinTheta_O #s(hole binary32 sinTheta_O))
#s(approx v #s(hole 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) #s(hole binary32 (- (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 (/ 1 v) #s(hole binary32 (/ 1 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) #s(hole binary32 (* 1/2 (/ (* 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 (* (* (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 (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ 2 v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))) 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 (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 (* (sinh (/ 1 v)) 2) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))))
#s(approx (* (sinh (/ 1 v)) 2) #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 (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
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) v))
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) v) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (/.f32 (/.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(literal 1 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)))
(/.f32 (neg.f32 (/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (*.f32 cosTheta_O cosTheta_i)) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (*.f32 cosTheta_O cosTheta_i)) v))) (neg.f32 (neg.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))))
(/.f32 (/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (*.f32 cosTheta_O cosTheta_i)) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
(/.f32 (neg.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (*.f32 cosTheta_O cosTheta_i)) v)) (neg.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)))
(/.f32 (/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (*.f32 cosTheta_O cosTheta_i)) v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) #s(literal 1 binary32)) (*.f32 (neg.f32 v) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (*.f32 v (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (*.f32 cosTheta_O cosTheta_i))) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 v)))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) v))
(/.f32 (neg.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (*.f32 cosTheta_O cosTheta_i))) (neg.f32 v))
(/.f32 (*.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (*.f32 cosTheta_O cosTheta_i)) v)
(-.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(pow.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal -1 binary32))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i))) (neg.f32 v))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(neg.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(/.f32 (neg.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (*.f32 sinTheta_O sinTheta_i)) (neg.f32 v))
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(*.f32 sinTheta_O sinTheta_i)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
v
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (neg.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i))) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (*.f32 cosTheta_O cosTheta_i)) (neg.f32 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))
(*.f32 v (*.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))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 4 binary32)) #s(literal 4 binary32))
(/.f32 (*.f32 #s(literal 4 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 4 binary32))
(/.f32 (neg.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))))) (neg.f32 (*.f32 #s(literal 2 binary32) (cosh.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 (neg.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32))))) (neg.f32 (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 (/.f32 #s(literal 1 binary32) v))))))))
(/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (*.f32 #s(literal 2 binary32) (cosh.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 (neg.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))
(/.f32 (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal -2 binary32))
(/.f32 (*.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) (neg.f32 v))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 v)))
(/.f32 #s(literal 1 binary32) v)
(pow.f32 v #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 v) #s(literal -1 binary32)))
#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 cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) v))
#s(approx (/ (* cosTheta_i cosTheta_O) v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (* cosTheta_i cosTheta_O) (*.f32 cosTheta_O cosTheta_i))
#s(approx cosTheta_i cosTheta_i)
#s(approx cosTheta_O 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 cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 (*.f32 v v) 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)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_i sinTheta_O) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_i (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 (pow.f32 v #s(literal 5 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) sinTheta_i (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_i sinTheta_O) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_i (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 v v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) (*.f32 v v))))) sinTheta_i (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 v v) (*.f32 v v)))) sinTheta_i (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_O) (*.f32 v v))))) sinTheta_i (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)) #s(literal 1 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (fma.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (*.f32 v v))) #s(literal 1/2 binary32) (neg.f32 (/.f32 sinTheta_O v))) sinTheta_i #s(literal 1 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i)) (*.f32 (*.f32 v v) v))) sinTheta_i (neg.f32 (/.f32 sinTheta_O v))) sinTheta_i #s(literal 1 binary32)))
#s(approx (neg (/ (* sinTheta_i sinTheta_O) v)) (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
#s(approx (/ (* sinTheta_i sinTheta_O) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
#s(approx (* sinTheta_i sinTheta_O) (*.f32 sinTheta_O sinTheta_i))
#s(approx sinTheta_i sinTheta_i)
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 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 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_O (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (*.f32 (pow.f32 v #s(literal 5 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) sinTheta_O (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_O (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_i) (*.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)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 v v) (*.f32 v v)))) sinTheta_O (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 cosTheta_i sinTheta_i) (*.f32 v v))))) sinTheta_O (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (fma.f32 (*.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))) #s(literal 1/2 binary32) (neg.f32 (/.f32 sinTheta_i v))) sinTheta_O #s(literal 1 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O)) (*.f32 (*.f32 v v) v))) sinTheta_O (neg.f32 (/.f32 sinTheta_i v))) sinTheta_O #s(literal 1 binary32)))
#s(approx sinTheta_O sinTheta_O)
#s(approx v v)
#s(approx (* (* (sinh (/ 1 v)) 2) v) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (* (sinh (/ 1 v)) 2) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
#s(approx (sinh (/ 1 v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
#s(approx (/ 1 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 #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 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (*.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 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) 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 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_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)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O))) (*.f32 (*.f32 v v) v)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_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)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (/.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)) (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i)) (*.f32 v v))) (neg.f32 (/.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)) (/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal -1/6 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i)) (*.f32 v v)))) (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (+.f32 (fma.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))) #s(literal 1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) #s(literal 1 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (+.f32 (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)) #s(literal 1 binary32)) (fma.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))) #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) #s(literal -1/6 binary32)))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
#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) (+.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) #s(literal 2 binary32)))
#s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
#s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))
#s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))
#s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
#s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) 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)) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 v v) (*.f32 v v))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)) v))
#s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.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)) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (neg.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O))) v) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1/2 binary32))) v))) v))) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) v) (neg.f32 (*.f32 cosTheta_O cosTheta_i))) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O))) v)) (neg.f32 (*.f32 cosTheta_O cosTheta_i))) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) v) #s(literal 1/6 binary32))) v)) (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O))) v)) (neg.f32 (*.f32 cosTheta_O cosTheta_i))) v)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) v) #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_i)) v)) #s(literal 1 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_O sinTheta_i (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) v)) #s(literal -1/6 binary32))) v))) v))))
#s(approx (* (sinh (/ 1 v)) 2) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
#s(approx (* (sinh (/ 1 v)) 2) (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) (*.f32 v v)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)))
#s(approx (sinh (/ 1 v)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 1 binary32)) v)))
#s(approx (sinh (/ 1 v)) (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)) #s(literal 1/120 binary32)) (*.f32 (*.f32 v v) (*.f32 v v)))) #s(literal 1 binary32)) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))

eval13.0ms (0.2%)

Memory
30.8MiB live, 30.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 4 745 to 764 computations (83.9% saved)

prune14.0ms (0.2%)

Memory
-18.3MiB live, 27.9MiB allocated; 5ms collecting garbage
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New11715132
Fresh000
Picked101
Done000
Total11815133
Accuracy
99.4%
Counts
133 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.7%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) v))
97.8%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 (/.f32 #s(literal 1 binary32) v))))))) v))
98.7%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v))
80.3%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) (*.f32 v v)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))) v))
62.5%
(/.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) #s(literal 2 binary32)))
98.8%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 cosTheta_i (/.f32 cosTheta_O v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.8%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)) #s(literal 1 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.5%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.7%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 v v)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.8%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (*.f32 #s(literal 2 binary32) v)))
98.8%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
62.5%
#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_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i))) v))
98.7%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
98.5%
#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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
62.5%
#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 1 072 to 790 computations (26.3% saved)

series142.0ms (2.2%)

Memory
12.6MiB live, 250.6MiB allocated; 20ms collecting garbage
Counts
49 → 141
Calls
Call 1
Inputs
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (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
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (*.f32 #s(literal 2 binary32) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(neg.f32 v)
(*.f32 #s(literal 2 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 #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)
#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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(*.f32 v v)
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 v 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)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 v v))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 v v)))
(/.f32 cosTheta_i v)
(/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 v v))
(neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O))
(*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)
(*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) 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)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))
(neg.f32 (/.f32 #s(literal 1 binary32) v))
Outputs
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) #s(hole binary32 (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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 cosTheta_i #s(hole binary32 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 (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* 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)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v)))))
#s(approx (/ cosTheta_i v) #s(hole binary32 (/ cosTheta_i v)))
#s(approx (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v)) #s(hole binary32 (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))))
#s(approx (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) #s(hole binary32 (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))))
#s(approx (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(hole binary32 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))
#s(approx (* (* sinTheta_O sinTheta_i) cosTheta_i) #s(hole binary32 (* cosTheta_i (* sinTheta_O sinTheta_i))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2)))))))
#s(approx cosTheta_O #s(hole binary32 cosTheta_O))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v)))))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ 1/2 v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))))) (* 1/2 (/ 1 v)))))
#s(approx (exp (/ (* sinTheta_O sinTheta_i) (neg v))) #s(hole binary32 1))
#s(approx (exp (/ (* sinTheta_O sinTheta_i) (neg v))) #s(hole binary32 (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg v)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (* sinTheta_O sinTheta_i) #s(hole binary32 (* sinTheta_O sinTheta_i)))
#s(approx sinTheta_i #s(hole binary32 sinTheta_i))
#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)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (neg (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (neg (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (neg (/ 1 v)))))))))
#s(approx (/ (* sinTheta_i sinTheta_O) v) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))))
#s(approx (exp (/ (* sinTheta_O sinTheta_i) (neg v))) #s(hole binary32 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (exp (neg (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))))
#s(approx (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg 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 sinTheta_O #s(hole binary32 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)) #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)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (neg (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (neg (/ 1 v)))))))))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))))
#s(approx v #s(hole binary32 v))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (/ 1 v) #s(hole binary32 (/ 1 v)))
#s(approx (neg v) #s(hole binary32 (* -1 v)))
#s(approx (* 2 v) #s(hole binary32 (* 2 v)))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
#s(approx (* v v) #s(hole binary32 (pow v 2)))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v) #s(hole binary32 (* v (- (exp (/ 1 v)) (exp (neg (/ 1 v)))))))
#s(approx (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) #s(hole binary32 (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (exp (/ 1 v))))
#s(approx (exp (neg (/ 1 v))) #s(hole binary32 (exp (neg (/ 1 v)))))
#s(approx (neg (/ 1 v)) #s(hole binary32 (/ -1 v)))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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) (sinh (/ 1 v))) #s(hole binary32 (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* cosTheta_O cosTheta_i)) (+ (* -1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))))
#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 (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)))
#s(approx (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v 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 (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ 2 v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #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 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 (* (* (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)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v)))
#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 (neg (/ 1 v))) #s(hole binary32 (- 1 (/ 1 v))))
#s(approx (exp (neg (/ 1 v))) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))))
#s(approx (exp (neg (/ 1 v))) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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) (sinh (/ 1 v))) #s(hole binary32 (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* cosTheta_O cosTheta_i))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) #s(hole binary32 (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/6 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 6))) (+ (* -1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* -1/5040 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (+ (* 1/720 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (+ (* 1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* cosTheta_O cosTheta_i)))))))))
#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 (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1/2) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))))
#s(approx (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v 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 (* (sinh (/ 1 v)) 2) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))))
#s(approx (* (sinh (/ 1 v)) 2) #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 (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)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/12 (* 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)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/12 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/12 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/12 (* 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 (/ 1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))))
#s(approx (exp (neg (/ 1 v))) #s(hole binary32 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))))
#s(approx (exp (neg (/ 1 v))) #s(hole binary32 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))))
Calls

15 calls:

TimeVariablePoint
23.0ms
sinTheta_O
-inf
12.0ms
sinTheta_i
inf
11.0ms
v
0
10.0ms
cosTheta_i
inf
10.0ms
cosTheta_O
0

rewrite272.0ms (4.3%)

Memory
-25.2MiB live, 270.4MiB allocated; 162ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08905874
09605252
155575246
084365074
Stop Event
iter-limit
node-limit
iter-limit
Counts
190 → 342
Calls
Call 1
Inputs
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (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
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (*.f32 #s(literal 2 binary32) v))
(exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))
(/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(neg.f32 v)
(*.f32 #s(literal 2 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 #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)
#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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v)))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(*.f32 v v)
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 v 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)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 v v))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 v v)))
(/.f32 cosTheta_i v)
(/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 v v))
(neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O))
(*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)
(*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) 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)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (/.f32 #s(literal 1 binary32) v))
(exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))
(neg.f32 (/.f32 #s(literal 1 binary32) v))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) #s(hole binary32 (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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 cosTheta_i #s(hole binary32 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 (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* 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)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (* cosTheta_i (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v)))))
#s(approx (/ cosTheta_i v) #s(hole binary32 (/ cosTheta_i v)))
#s(approx (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v)) #s(hole binary32 (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))))
#s(approx (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) #s(hole binary32 (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))))
#s(approx (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) #s(hole binary32 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))
#s(approx (* (* sinTheta_O sinTheta_i) cosTheta_i) #s(hole binary32 (* cosTheta_i (* sinTheta_O sinTheta_i))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2)))))))
#s(approx cosTheta_O #s(hole binary32 cosTheta_O))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (* cosTheta_O (+ (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_i v)))))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) (pow v 2)))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ 1/2 v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))))) (* 1/2 (/ 1 v)))))
#s(approx (exp (/ (* sinTheta_O sinTheta_i) (neg v))) #s(hole binary32 1))
#s(approx (exp (/ (* sinTheta_O sinTheta_i) (neg v))) #s(hole binary32 (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg v)) #s(hole binary32 (* -1 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (* sinTheta_O sinTheta_i) #s(hole binary32 (* sinTheta_O sinTheta_i)))
#s(approx sinTheta_i #s(hole binary32 sinTheta_i))
#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)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (neg (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (neg (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (neg (/ 1 v)))))))))
#s(approx (/ (* sinTheta_i sinTheta_O) v) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))))
#s(approx (exp (/ (* sinTheta_O sinTheta_i) (neg v))) #s(hole binary32 (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (exp (neg (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))))
#s(approx (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg 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 sinTheta_O #s(hole binary32 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)) #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)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (neg (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (exp (neg (/ 1 v)))))))))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))))
#s(approx v #s(hole binary32 v))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (/ 1 v) #s(hole binary32 (/ 1 v)))
#s(approx (neg v) #s(hole binary32 (* -1 v)))
#s(approx (* 2 v) #s(hole binary32 (* 2 v)))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
#s(approx (* v v) #s(hole binary32 (pow v 2)))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) #s(hole binary32 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(hole binary32 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v) #s(hole binary32 (* v (- (exp (/ 1 v)) (exp (neg (/ 1 v)))))))
#s(approx (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) #s(hole binary32 (- (exp (/ 1 v)) (exp (neg (/ 1 v))))))
#s(approx (exp (/ 1 v)) #s(hole binary32 (exp (/ 1 v))))
#s(approx (exp (neg (/ 1 v))) #s(hole binary32 (exp (neg (/ 1 v)))))
#s(approx (neg (/ 1 v)) #s(hole binary32 (/ -1 v)))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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) (sinh (/ 1 v))) #s(hole binary32 (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* cosTheta_O cosTheta_i)) (+ (* -1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))))
#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 (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)))
#s(approx (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v 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 (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ 2 v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #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 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 (* (* (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)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (/ (- (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))) v)))
#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 (neg (/ 1 v))) #s(hole binary32 (- 1 (/ 1 v))))
#s(approx (exp (neg (/ 1 v))) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (/ 1 v))))
#s(approx (exp (neg (/ 1 v))) #s(hole binary32 (- (+ 1 (/ 1/2 (pow v 2))) (+ (/ 1 v) (* 1/6 (/ 1 (pow v 3)))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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) (sinh (/ 1 v))) #s(hole binary32 (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* cosTheta_O cosTheta_i))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) #s(hole binary32 (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/6 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 6))) (+ (* -1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* -1/5040 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (+ (* 1/720 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (+ (* 1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* cosTheta_O cosTheta_i)))))))))
#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 (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1/2) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))))
#s(approx (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v 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 (* (sinh (/ 1 v)) 2) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))))
#s(approx (* (sinh (/ 1 v)) 2) #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 (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)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/12 (* 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)) (* (- (exp (/ 1 v)) (exp (neg (/ 1 v)))) v)) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/12 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/12 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (* -1/12 (* 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 (/ 1 v)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 v))) v)) 1) v)))))
#s(approx (exp (neg (/ 1 v))) #s(hole binary32 (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 v))) v)))))
#s(approx (exp (neg (/ 1 v))) #s(hole binary32 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/6 (/ 1 v))) v))) v)))))
Outputs
(*.f32 (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) v))
(*.f32 (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (+.f32 v v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (+.f32 v v)))
(*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))) (+.f32 v v))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (+.f32 v v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (/.f32 (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (*.f32 cosTheta_i cosTheta_O)) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
(/.f32 (neg.f32 (/.f32 (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (*.f32 cosTheta_i cosTheta_O)) v)) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))))
(/.f32 (/.f32 (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (*.f32 cosTheta_i cosTheta_O)) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)))
(/.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(/.f32 (*.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) (neg.f32 v))
(/.f32 #s(literal 1 binary32) v)
(pow.f32 v #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 v) #s(literal -1 binary32)))
#s(literal 1 binary32)
(/.f32 (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) #s(literal 2 binary32)) v)
(/.f32 (neg.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))) (neg.f32 (+.f32 v v)))
(/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (+.f32 v v))
(-.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (sinh.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (neg.f32 v)))
(pow.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(+.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (sinh.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_O
sinTheta_i
(*.f32 #s(literal -1 binary32) v)
(*.f32 v #s(literal -1 binary32))
(neg.f32 v)
(*.f32 #s(literal 2 binary32) v)
(*.f32 v #s(literal 2 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_i cosTheta_O) v) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) 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_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))
(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_i (*.f32 v v)))
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))
(/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))
(*.f32 (*.f32 v v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) (*.f32 v 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)))
(-.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 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) (*.f32 #s(literal 2 binary32) (cosh.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)))) (+.f32 (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 2 binary32))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (exp.f32 (log.f32 v)) (exp.f32 (log.f32 v)))
(*.f32 (fabs.f32 v) (fabs.f32 v))
(*.f32 (neg.f32 v) (neg.f32 v))
(*.f32 v v)
(pow.f32 (exp.f32 (log.f32 v)) #s(literal 2 binary32))
(pow.f32 (fabs.f32 v) #s(literal 2 binary32))
(pow.f32 (*.f32 v v) #s(literal 1 binary32))
(pow.f32 (neg.f32 v) #s(literal 2 binary32))
(pow.f32 v #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 v) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 v) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 v) #s(literal 2 binary32)))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
(/.f32 (neg.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v))) (neg.f32 (*.f32 (sinh.f32 (/.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 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v)) (*.f32 (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)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v))
(/.f32 (-.f32 (pow.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))) (-.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (pow.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))) #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v))))))))
(/.f32 (+.f32 (pow.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 3 binary32))) (+.f32 (pow.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))))
(/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 3 binary32)) (pow.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (-.f32 (pow.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v))))))))))
(/.f32 (neg.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v))) (neg.f32 v))
(/.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v)
(fma.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v))))) #s(literal -1 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))))
(fma.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v))))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))))
(+.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))))
(+.f32 (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (neg.f32 cosTheta_i) (neg.f32 v))
(/.f32 cosTheta_i v)
(*.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v))))) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) (neg.f32 (*.f32 v v)))
(/.f32 (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v) v)
(/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) (*.f32 v v))
(neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v))))))
(*.f32 (*.f32 #s(literal -1 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))
(*.f32 (neg.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) cosTheta_O)
(*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1 binary32))
(*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (neg.f32 cosTheta_O))
(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))
(neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))
(*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)
(*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 cosTheta_i cosTheta_O))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))
(*.f32 (*.f32 sinTheta_O cosTheta_i) sinTheta_i)
(*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)
(*.f32 sinTheta_O (*.f32 sinTheta_i cosTheta_i))
(*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))
(*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) v))
(*.f32 (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (+.f32 v v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (+.f32 v v)))
(*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))) (+.f32 v v))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (+.f32 v v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (/.f32 (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (*.f32 cosTheta_i cosTheta_O)) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
(/.f32 (neg.f32 (/.f32 (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (*.f32 cosTheta_i cosTheta_O)) v)) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))))
(/.f32 (/.f32 (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (*.f32 cosTheta_i cosTheta_O)) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))))
(*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (*.f32 cosTheta_i cosTheta_O)) v)
(-.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (sinh.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i (neg.f32 v)))
(pow.f32 (exp.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(+.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) (sinh.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) v)
(/.f32 (*.f32 sinTheta_i sinTheta_O) (neg.f32 v))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 (neg.f32 (*.f32 cosTheta_i cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))
(*.f32 v (*.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))
(*.f32 #s(literal 2 binary32) (sinh.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 (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 #s(literal 2 binary32) (cosh.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)))) (+.f32 (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 2 binary32))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal -1 binary32) v))))))
(+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(exp.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 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -1 binary32))
(+.f32 (cosh.f32 (/.f32 #s(literal -1 binary32) v)) (sinh.f32 (/.f32 #s(literal -1 binary32) v)))
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) v)))
(exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -1 binary32)))
(exp.f32 (/.f32 #s(literal -1 binary32) v))
(/.f32 #s(literal -1 binary32) v)
(/.f32 #s(literal 1 binary32) (neg.f32 v))
(pow.f32 (neg.f32 v) #s(literal -1 binary32))
(neg.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_O (/.f32 (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)))) #s(literal 2 binary32)))
#s(approx (/ (* cosTheta_O cosTheta_i) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
#s(approx (* cosTheta_O cosTheta_i) (*.f32 cosTheta_i cosTheta_O))
#s(approx cosTheta_i cosTheta_i)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
#s(approx (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))) v))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) (*.f32 (+.f32 (/.f32 cosTheta_O v) (neg.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))) cosTheta_i))
#s(approx (/ cosTheta_i v) (/.f32 cosTheta_i v))
#s(approx (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v)) (neg.f32 (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))))
#s(approx (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)))
#s(approx (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))
#s(approx (* (* sinTheta_O sinTheta_i) cosTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 (*.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) (neg.f32 (*.f32 (fma.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v))) (neg.f32 (/.f32 cosTheta_O v))) cosTheta_i)))
#s(approx cosTheta_O cosTheta_O)
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) (*.f32 (+.f32 (/.f32 cosTheta_i v) (neg.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))) cosTheta_O))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) (neg.f32 (*.f32 (fma.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v))) (neg.f32 (/.f32 cosTheta_i v))) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 (*.f32 v v) 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)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_i (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 (pow.f32 v #s(literal 5 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) sinTheta_i (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_i (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (fma.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (fma.f32 (fma.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (*.f32 (*.f32 v v) v))) #s(literal 1/4 binary32) (*.f32 (/.f32 sinTheta_O (*.f32 v v)) #s(literal -1/2 binary32))) sinTheta_i (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i)) (*.f32 (*.f32 v v) (*.f32 v v)))) sinTheta_i (*.f32 (/.f32 sinTheta_O (*.f32 v v)) #s(literal -1/2 binary32))) sinTheta_i (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (fma.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (*.f32 v v))) #s(literal 1/2 binary32) (neg.f32 (/.f32 sinTheta_O v))) sinTheta_i #s(literal 1 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 v v)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i)) (*.f32 (*.f32 v v) v))) sinTheta_i (neg.f32 (/.f32 sinTheta_O v))) sinTheta_i #s(literal 1 binary32)))
#s(approx (/ (* sinTheta_O sinTheta_i) (neg v)) (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
#s(approx (* sinTheta_O sinTheta_i) (*.f32 sinTheta_i sinTheta_O))
#s(approx sinTheta_i sinTheta_i)
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O cosTheta_i) (*.f32 v v))))) sinTheta_i (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 v v) (*.f32 v v)))) sinTheta_i (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O cosTheta_i) (*.f32 v v))))) sinTheta_i (/.f32 (*.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)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 (*.f32 v v) 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)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_i (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 (pow.f32 v #s(literal 5 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) sinTheta_i (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_i (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
#s(approx (/ (* sinTheta_i sinTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (*.f32 (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) v) #s(literal 1/2 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v)) (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O cosTheta_i) (*.f32 v v))))) sinTheta_i))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) (neg.f32 (*.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O cosTheta_i) (*.f32 v v)) (neg.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v))))) sinTheta_i)))
#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 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_O (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (*.f32 (pow.f32 v #s(literal 5 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) sinTheta_O (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_O (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/4 binary32) (*.f32 (/.f32 sinTheta_i (*.f32 v v)) #s(literal -1/2 binary32))) sinTheta_O (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 v v) v)) #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O)) (*.f32 (*.f32 v v) (*.f32 v v)))) sinTheta_O (*.f32 (/.f32 sinTheta_i (*.f32 v v)) #s(literal -1/2 binary32))) sinTheta_O (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (fma.f32 (*.f32 sinTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))) #s(literal 1/2 binary32) (neg.f32 (/.f32 sinTheta_i v))) sinTheta_O #s(literal 1 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O)) (*.f32 (*.f32 v v) v))) sinTheta_O (neg.f32 (/.f32 sinTheta_i v))) sinTheta_O #s(literal 1 binary32)))
#s(approx sinTheta_O sinTheta_O)
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i cosTheta_i) (*.f32 v v))))) sinTheta_O (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 v v) (*.f32 v v)))) sinTheta_O (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i cosTheta_i) (*.f32 v v))))) sinTheta_O (/.f32 (*.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)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_O (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (*.f32 (pow.f32 v #s(literal 5 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) sinTheta_O (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_O (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v)) (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i cosTheta_i) (*.f32 v v))))) sinTheta_O))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) (neg.f32 (*.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i cosTheta_i) (*.f32 v v)) (neg.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v))))) sinTheta_O)))
#s(approx v v)
#s(approx (sinh (/ 1 v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 v) (/.f32 #s(literal 1 binary32) v))
#s(approx (neg v) (neg.f32 v))
#s(approx (* 2 v) (+.f32 v v))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))
#s(approx (* (sinh (/ 1 v)) 2) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
#s(approx (* v v) (*.f32 v v))
#s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) (/.f32 (fma.f32 (*.f32 v cosTheta_i) cosTheta_O (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) (*.f32 v v)))
#s(approx (* (* (sinh (/ 1 v)) 2) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)))
#s(approx (* (* (sinh (/ 1 v)) 2) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)))
#s(approx (* (sinh (/ 1 v)) 2) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
#s(approx (exp (/ 1 v)) (exp.f32 (/.f32 #s(literal 1 binary32) v)))
#s(approx (exp (neg (/ 1 v))) (exp.f32 (/.f32 #s(literal -1 binary32) v)))
#s(approx (neg (/ 1 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 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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 (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_i cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.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)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) (*.f32 (*.f32 v v) v)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v v)))))) v))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (fma.f32 cosTheta_i cosTheta_O (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal -1/6 binary32))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))))) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal 1/6 binary32))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.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))) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))))) (+.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal 1/6 binary32)))))
#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)) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 v v) (*.f32 v v))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)) v))
#s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))) v))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (fma.f32 (pow.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32)) #s(literal -1/12 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v)))) #s(literal 1/2 binary32)) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (+.f32 (fma.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 v v))) #s(literal 1/2 binary32) (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) #s(literal 1 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 1 binary32) (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) (fma.f32 (pow.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32)) #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) #s(literal 1/2 binary32)) (*.f32 v v))))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal -1/12 binary32))) v))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal -1/12 binary32)))) v))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (/.f32 (fma.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))) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal -1/12 binary32))))) v))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
#s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))
#s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))
#s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
#s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i)) (*.f32 v v))) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal -1/6 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i)) (*.f32 v v)))) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v))
#s(approx (* (* (sinh (/ 1 v)) 2) v) #s(literal 2 binary32))
#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) (+.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) #s(literal 2 binary32)))
#s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (*.f32 cosTheta_O (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 v v))) #s(literal 1/4 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)))) (*.f32 #s(literal 1/12 binary32) (*.f32 cosTheta_O (/.f32 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)) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal -1/12 binary32) (fma.f32 (*.f32 cosTheta_O (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 v v))) #s(literal 1/4 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal -1/12 binary32) (*.f32 #s(literal 1/12 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v)))))) v))
#s(approx (exp (/ 1 v)) (+.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1 binary32)))
#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)) (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 v v)) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 v v) v))) #s(literal 1 binary32)))
#s(approx (exp (neg (/ 1 v))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
#s(approx (exp (neg (/ 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 (neg (/ 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) (*.f32 (*.f32 v v) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (neg.f32 (/.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 cosTheta_i cosTheta_O))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (neg.f32 (/.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_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal 1/6 binary32) (*.f32 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)) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) v) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32))) v))) v))) v)))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (fma.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal -1/6 binary32) (+.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (fma.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/120 binary32) (fma.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) #s(literal -1/5040 binary32) (fma.f32 #s(literal 1/720 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) (fma.f32 #s(literal 1/36 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (*.f32 v v))) (*.f32 cosTheta_i cosTheta_O))))))))
#s(approx (sinh (/ 1 v)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 1 binary32)) v)))
#s(approx (sinh (/ 1 v)) (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)) #s(literal 1/120 binary32)) (*.f32 (*.f32 v v) (*.f32 v v)))) #s(literal 1 binary32)) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) v) #s(literal 1/4 binary32))) v)) #s(literal 1/2 binary32)) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) v)) #s(literal 1/12 binary32))) v))) v)) #s(literal 1/2 binary32)) v)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) v) #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O)) v)) #s(literal 1 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (fma.f32 sinTheta_i sinTheta_O (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) v)) #s(literal -1/6 binary32))) v))) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (*.f32 #s(literal 1/12 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))))) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (*.f32 #s(literal 1/12 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v)))))) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (fma.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))) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (*.f32 #s(literal 1/12 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))))))) v)))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (neg.f32 v) (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) (*.f32 v v)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
#s(approx (* (sinh (/ 1 v)) 2) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
#s(approx (* (sinh (/ 1 v)) 2) (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) (*.f32 v v)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) v) (neg.f32 (*.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) v)) (neg.f32 (*.f32 cosTheta_i cosTheta_O))) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (neg.f32 cosTheta_O) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) v) #s(literal 1/6 binary32))) v))) v)) (neg.f32 (*.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)) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal 1/12 binary32) (*.f32 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)) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (neg.f32 (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (neg.f32 (/.f32 (*.f32 #s(literal -1/12 binary32) (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) v))) (*.f32 #s(literal -1/12 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v))) v)))
#s(approx (exp (/ 1 v)) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal 1/2 binary32)) v)) #s(literal 1 binary32)) v)) #s(literal 1 binary32)))
#s(approx (exp (neg (/ 1 v))) (+.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) v)) v)) #s(literal 1 binary32)))
#s(approx (exp (neg (/ 1 v))) (+.f32 (neg.f32 (/.f32 (+.f32 (neg.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)))

eval39.0ms (0.6%)

Memory
-16.5MiB live, 81.2MiB allocated; 13ms collecting garbage
Compiler

Compiled 14 451 to 1 736 computations (88% saved)

prune26.0ms (0.4%)

Memory
12.2MiB live, 59.8MiB allocated; 2ms collecting garbage
Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New31426340
Fresh9110
Picked325
Done000
Total32629355
Accuracy
99.6%
Counts
355 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
98.8%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (+.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)) #s(literal 1 binary32))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.6%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 v v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
98.7%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 v v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)))
98.7%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) (/.f32 (fma.f32 (*.f32 v cosTheta_i) cosTheta_O (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) (*.f32 v v)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.6%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v)) (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i cosTheta_i) (*.f32 v v))))) sinTheta_O))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.7%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) (*.f32 (+.f32 (/.f32 cosTheta_O v) (neg.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v)))))) cosTheta_i))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.8%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)))
98.6%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)))
98.7%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (+.f32 v v)))
97.9%
#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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v)))
62.5%
#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) #s(literal 1/2 binary32)) v))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
97.5%
#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 (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)))) (+.f32 (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 2 binary32))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 v v))))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (/.f32 (-.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 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 v v))))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))))
98.5%
#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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (*.f32 (log.f32 v) #s(literal 2 binary32))))))
67.9%
#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 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v)) (*.f32 v v))))
62.5%
#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 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v)) (*.f32 v v))))
67.9%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
73.9%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
98.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_i (*.f32 v v))))
98.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_O (*.f32 v v)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
98.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
62.5%
#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)))
62.5%
#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_i v) cosTheta_O)))
62.5%
#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))))
Compiler

Compiled 2 287 to 1 653 computations (27.7% saved)

series120.0ms (1.9%)

Memory
-6.1MiB live, 234.9MiB allocated; 18ms collecting garbage
Counts
51 → 169
Calls
Call 1
Inputs
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (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
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32))
#s(literal -1/2 binary32)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
#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 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
(neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v))
(*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)
(-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v)))
(/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))
(+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32))
(/.f32 #s(literal 1/60 binary32) (*.f32 v v))
#s(literal 1/60 binary32)
(*.f32 v v)
#s(literal 1/3 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_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 cosTheta_i cosTheta_O)
(*.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 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v)) (*.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 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) 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)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v))
(/.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v)
(fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v))
(/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)
(neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))
(*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)
(*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)
Outputs
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) #s(hole binary32 (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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 cosTheta_i #s(hole binary32 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 (* 1/2 (* cosTheta_i (/ cosTheta_O v))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (- (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)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* 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 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (/ (* cosTheta_i (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* cosTheta_i (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))))
#s(approx (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v) #s(hole binary32 (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
#s(approx (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) #s(hole binary32 (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))))
#s(approx (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(hole binary32 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))
#s(approx (* (* sinTheta_i sinTheta_O) cosTheta_i) #s(hole binary32 (* cosTheta_i (* sinTheta_O sinTheta_i))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (/ (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))))
#s(approx cosTheta_O #s(hole binary32 cosTheta_O))
#s(approx (/ cosTheta_O v) #s(hole binary32 (/ cosTheta_O v)))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (/ (* cosTheta_O (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* cosTheta_O (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (/ (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ 1/2 v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))))) (* 1/2 (/ 1 v)))))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(hole binary32 (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (/ (* sinTheta_i sinTheta_O) v) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) v)))
#s(approx (* sinTheta_i sinTheta_O) #s(hole binary32 (* sinTheta_O sinTheta_i)))
#s(approx sinTheta_i #s(hole binary32 sinTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* 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)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* 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)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#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_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))))
#s(approx (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) #s(hole binary32 (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2)))))
#s(approx (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) #s(hole binary32 (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/2 (/ 1 (* sinTheta_i v)))))))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(hole binary32 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(hole binary32 (* sinTheta_i (+ (* -1/2 (/ sinTheta_O v)) (* 1/2 (/ 1 sinTheta_i))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
#s(approx (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) #s(hole binary32 (* -1 (* sinTheta_i (- (* 1/2 (/ sinTheta_O (pow v 2))) (* 1/2 (/ 1 (* sinTheta_i v))))))))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(hole binary32 (* -1 (* sinTheta_i (- (* 1/2 (/ sinTheta_O v)) (* 1/2 (/ 1 sinTheta_i)))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))))
#s(approx sinTheta_O #s(hole binary32 sinTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#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 (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) #s(hole binary32 (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/2 (/ 1 (* sinTheta_O v)))))))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(hole binary32 (* sinTheta_O (+ (* -1/2 (/ sinTheta_i v)) (* 1/2 (/ 1 sinTheta_O))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
#s(approx (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) #s(hole binary32 (* -1 (* sinTheta_O (- (* 1/2 (/ sinTheta_i (pow v 2))) (* 1/2 (/ 1 (* sinTheta_O v))))))))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(hole binary32 (* -1 (* sinTheta_O (- (* 1/2 (/ sinTheta_i v)) (* 1/2 (/ 1 sinTheta_O)))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))))
#s(approx v #s(hole binary32 v))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (/ 1 v) #s(hole binary32 (/ 1 v)))
#s(approx (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) #s(hole binary32 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 v)) (pow v 2))))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(hole binary32 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 v)) v)))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(hole binary32 (/ 1/60 (pow v 3))))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(hole binary32 (/ (+ 1/60 (* 1/3 (pow v 2))) (pow v 3))))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(hole binary32 (/ (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))) (pow v 3))))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) #s(hole binary32 (/ -1/60 (pow v 3))))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) #s(hole binary32 (/ (- (* -1/3 (pow v 2)) 1/60) (pow v 3))))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) #s(hole binary32 (/ (- (* (pow v 2) (- (* -2 (pow v 2)) 1/3)) 1/60) (pow v 3))))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) #s(hole binary32 (/ -1/60 (pow v 4))))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) #s(hole binary32 (/ (- (* -1/3 (pow v 2)) 1/60) (pow v 4))))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) #s(hole binary32 (/ (- (* (pow v 2) (- (* -2 (pow v 2)) 1/3)) 1/60) (pow v 4))))
#s(approx (/ (+ (/ 1/60 (* v v)) 1/3) (* v v)) #s(hole binary32 (/ 1/60 (pow v 4))))
#s(approx (/ (+ (/ 1/60 (* v v)) 1/3) (* v v)) #s(hole binary32 (/ (+ 1/60 (* 1/3 (pow v 2))) (pow v 4))))
#s(approx (+ (/ 1/60 (* v v)) 1/3) #s(hole binary32 (/ 1/60 (pow v 2))))
#s(approx (+ (/ 1/60 (* v v)) 1/3) #s(hole binary32 (/ (+ 1/60 (* 1/3 (pow v 2))) (pow v 2))))
#s(approx (* v v) #s(hole binary32 (pow v 2)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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) (sinh (/ 1 v))) #s(hole binary32 (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* cosTheta_O cosTheta_i)) (+ (* -1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))))
#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 (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* 2 v)))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v 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 (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) #s(hole binary32 (* -2 v)))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) #s(hole binary32 (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) #s(hole binary32 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2))))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) #s(hole binary32 -2))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) #s(hole binary32 (* -1 (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) #s(hole binary32 (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
#s(approx (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) #s(hole binary32 (/ -1/3 (pow v 2))))
#s(approx (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) #s(hole binary32 (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2)))))
#s(approx (/ (+ (/ 1/60 (* v v)) 1/3) (* v v)) #s(hole binary32 (/ 1/3 (pow v 2))))
#s(approx (/ (+ (/ 1/60 (* v v)) 1/3) (* v v)) #s(hole binary32 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))))
#s(approx (+ (/ 1/60 (* v v)) 1/3) #s(hole binary32 1/3))
#s(approx (+ (/ 1/60 (* v v)) 1/3) #s(hole binary32 (+ 1/3 (* 1/60 (/ 1 (pow v 2))))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* 1/2 (* cosTheta_O (* cosTheta_i v)))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* v (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* v (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* v (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))))))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ 2 v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #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 cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* 1/2 (* cosTheta_O cosTheta_i))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #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)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #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))))))))
#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 cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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) (sinh (/ 1 v))) #s(hole binary32 (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* cosTheta_O cosTheta_i))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) #s(hole binary32 (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/6 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 6))) (+ (* -1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* -1/5040 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (+ (* 1/720 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (+ (* 1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* cosTheta_O cosTheta_i)))))))))
#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 (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1/2) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v 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 (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) #s(hole binary32 (* -1 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* -1 (* v (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* -1 (* v (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* -1 (* v (+ (* -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))))))))))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))))
#s(approx (* (sinh (/ 1 v)) 2) #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 (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* -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)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i)))) (* 1/2 (/ (- (* -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))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))))
#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))))
Calls

15 calls:

TimeVariablePoint
10.0ms
cosTheta_O
-inf
10.0ms
cosTheta_i
inf
9.0ms
v
-inf
9.0ms
cosTheta_O
inf
9.0ms
v
0

rewrite225.0ms (3.5%)

Memory
23.9MiB live, 212.9MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09166916
09776470
151966300
085036089
Stop Event
iter-limit
node-limit
iter-limit
Counts
220 → 357
Calls
Call 1
Inputs
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (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
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32))
#s(literal -1/2 binary32)
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
#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 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_i (/.f32 cosTheta_O v)))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 cosTheta_O 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
(neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v))
(*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)
(-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v)))
(/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))
(+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32))
(/.f32 #s(literal 1/60 binary32) (*.f32 v v))
#s(literal 1/60 binary32)
(*.f32 v v)
#s(literal 1/3 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_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v)))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 cosTheta_i cosTheta_O)
(*.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 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v)) (*.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 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) 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)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v))
(/.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v)
(fma.f32 cosTheta_i cosTheta_O (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v))
(/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)
(neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))
(*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)
(*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) #s(hole binary32 (* 2 (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 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 cosTheta_i #s(hole binary32 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 (* 1/2 (* cosTheta_i (/ cosTheta_O v))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (- (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)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* 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 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (/ (* cosTheta_i (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* cosTheta_i (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))))
#s(approx (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v) #s(hole binary32 (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
#s(approx (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) #s(hole binary32 (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))))
#s(approx (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(hole binary32 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))))
#s(approx (* (* sinTheta_i sinTheta_O) cosTheta_i) #s(hole binary32 (* cosTheta_i (* sinTheta_O sinTheta_i))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (/ (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))))
#s(approx cosTheta_O #s(hole binary32 cosTheta_O))
#s(approx (/ cosTheta_O v) #s(hole binary32 (/ cosTheta_O v)))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (/ (* cosTheta_O (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* cosTheta_O (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (/ (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ 1/2 v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))))) (* 1/2 (/ 1 v)))))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(hole binary32 (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (/ (* sinTheta_i sinTheta_O) v) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) v)))
#s(approx (* sinTheta_i sinTheta_O) #s(hole binary32 (* sinTheta_O sinTheta_i)))
#s(approx sinTheta_i #s(hole binary32 sinTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* 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)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* 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)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#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_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))))
#s(approx (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) #s(hole binary32 (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2)))))
#s(approx (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) #s(hole binary32 (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/2 (/ 1 (* sinTheta_i v)))))))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(hole binary32 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(hole binary32 (* sinTheta_i (+ (* -1/2 (/ sinTheta_O v)) (* 1/2 (/ 1 sinTheta_i))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
#s(approx (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) #s(hole binary32 (* -1 (* sinTheta_i (- (* 1/2 (/ sinTheta_O (pow v 2))) (* 1/2 (/ 1 (* sinTheta_i v))))))))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(hole binary32 (* -1 (* sinTheta_i (- (* 1/2 (/ sinTheta_O v)) (* 1/2 (/ 1 sinTheta_i)))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))))
#s(approx sinTheta_O #s(hole binary32 sinTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#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 (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) #s(hole binary32 (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/2 (/ 1 (* sinTheta_O v)))))))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(hole binary32 (* sinTheta_O (+ (* -1/2 (/ sinTheta_i v)) (* 1/2 (/ 1 sinTheta_O))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
#s(approx (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) #s(hole binary32 (* -1 (* sinTheta_O (- (* 1/2 (/ sinTheta_i (pow v 2))) (* 1/2 (/ 1 (* sinTheta_O v))))))))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(hole binary32 (* -1 (* sinTheta_O (- (* 1/2 (/ sinTheta_i v)) (* 1/2 (/ 1 sinTheta_O)))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))))
#s(approx v #s(hole binary32 v))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (/ 1 v) #s(hole binary32 (/ 1 v)))
#s(approx (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) #s(hole binary32 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 v)) (pow v 2))))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(hole binary32 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 v)) v)))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(hole binary32 (/ 1/60 (pow v 3))))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(hole binary32 (/ (+ 1/60 (* 1/3 (pow v 2))) (pow v 3))))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(hole binary32 (/ (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))) (pow v 3))))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) #s(hole binary32 (/ -1/60 (pow v 3))))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) #s(hole binary32 (/ (- (* -1/3 (pow v 2)) 1/60) (pow v 3))))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) #s(hole binary32 (/ (- (* (pow v 2) (- (* -2 (pow v 2)) 1/3)) 1/60) (pow v 3))))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) #s(hole binary32 (/ -1/60 (pow v 4))))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) #s(hole binary32 (/ (- (* -1/3 (pow v 2)) 1/60) (pow v 4))))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) #s(hole binary32 (/ (- (* (pow v 2) (- (* -2 (pow v 2)) 1/3)) 1/60) (pow v 4))))
#s(approx (/ (+ (/ 1/60 (* v v)) 1/3) (* v v)) #s(hole binary32 (/ 1/60 (pow v 4))))
#s(approx (/ (+ (/ 1/60 (* v v)) 1/3) (* v v)) #s(hole binary32 (/ (+ 1/60 (* 1/3 (pow v 2))) (pow v 4))))
#s(approx (+ (/ 1/60 (* v v)) 1/3) #s(hole binary32 (/ 1/60 (pow v 2))))
#s(approx (+ (/ 1/60 (* v v)) 1/3) #s(hole binary32 (/ (+ 1/60 (* 1/3 (pow v 2))) (pow v 2))))
#s(approx (* v v) #s(hole binary32 (pow v 2)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)))
#s(approx (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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) (sinh (/ 1 v))) #s(hole binary32 (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* cosTheta_O cosTheta_i))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (* cosTheta_O cosTheta_i)) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (* cosTheta_O cosTheta_i)) (+ (* -1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* 1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))))
#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 (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* 2 v)))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v 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 (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) #s(hole binary32 (* -2 v)))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) #s(hole binary32 (* -1 (* v (+ 2 (* 1/3 (/ 1 (pow v 2))))))))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) #s(hole binary32 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2))))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) #s(hole binary32 -2))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) #s(hole binary32 (* -1 (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) #s(hole binary32 (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
#s(approx (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) #s(hole binary32 (/ -1/3 (pow v 2))))
#s(approx (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) #s(hole binary32 (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2)))))
#s(approx (/ (+ (/ 1/60 (* v v)) 1/3) (* v v)) #s(hole binary32 (/ 1/3 (pow v 2))))
#s(approx (/ (+ (/ 1/60 (* v v)) 1/3) (* v v)) #s(hole binary32 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))))
#s(approx (+ (/ 1/60 (* v v)) 1/3) #s(hole binary32 1/3))
#s(approx (+ (/ 1/60 (* v v)) 1/3) #s(hole binary32 (+ 1/3 (* 1/60 (/ 1 (pow v 2))))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* 1/2 (* cosTheta_O (* cosTheta_i v)))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* v (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* v (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* v (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i)))) (+ (* -1/720 (* cosTheta_O cosTheta_i)) (* 1/5040 (* cosTheta_O cosTheta_i)))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 (* cosTheta_O cosTheta_i)) (* 1/120 (* cosTheta_O cosTheta_i))) (pow v 4))) (+ (* -1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))))))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ 2 v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #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 cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* 1/2 (* cosTheta_O cosTheta_i))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #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)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #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))))))))
#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 cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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 (* (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg 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) (sinh (/ 1 v))) #s(hole binary32 (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* 1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* cosTheta_O cosTheta_i))))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) #s(hole binary32 (+ (* -1/6 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (+ (* -1/6 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 6))) (+ (* -1/120 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (+ (* -1/5040 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (+ (* 1/720 (/ (* cosTheta_O cosTheta_i) (pow v 6))) (+ (* 1/36 (/ (* cosTheta_O cosTheta_i) (pow v 4))) (* cosTheta_O cosTheta_i)))))))))
#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 (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1/2) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v 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 (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) #s(hole binary32 (* -1 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* -1 (* v (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* -1 (* v (+ (* -1/2 (* cosTheta_O cosTheta_i)) (+ (* -1/2 (/ (+ (* -1/120 (* cosTheta_O cosTheta_i)) (* 1/36 (* cosTheta_O cosTheta_i))) (pow v 4))) (* 1/12 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))))))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* -1 (* v (+ (* -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))))))))))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))))
#s(approx (* (sinh (/ 1 v)) 2) #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 (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* -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)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i)))) (* 1/2 (/ (- (* -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))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))))
#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))))
Outputs
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (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 (/.f32 cosTheta_i v))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(/.f32 (*.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) (neg.f32 v))
(/.f32 #s(literal 1 binary32) v)
(pow.f32 v #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 v) #s(literal -1 binary32)))
#s(literal 1 binary32)
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (neg.f32 v))
(/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32) (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) v))
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) v))
(+.f32 (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) v) (/.f32 #s(literal 1/2 binary32) v))
(+.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) v))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))
(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32))) #s(literal 1/4 binary32)) (-.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32))))
(/.f32 (fma.f32 (pow.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32)) #s(literal -1/8 binary32) #s(literal 1/8 binary32)) (fma.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))
(/.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32))))))
(fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32))
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(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
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(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
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(/.f32 cosTheta_O v)
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#s(literal 2 binary32)
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(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (*.f32 cosTheta_i cosTheta_O)))
(/.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 cosTheta_i cosTheta_O) (pow.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) #s(literal 3 binary32))) (fma.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))))))
(/.f32 (+.f32 (pow.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) #s(literal 3 binary32)) (*.f32 (*.f32 (*.f32 cosTheta_i cosTheta_i) cosTheta_i) (*.f32 (*.f32 cosTheta_O cosTheta_O) cosTheta_O))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (-.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (*.f32 cosTheta_i cosTheta_O)))))
(fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1 binary32) (*.f32 cosTheta_i cosTheta_O))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (*.f32 cosTheta_i cosTheta_O))
(fma.f32 cosTheta_i cosTheta_O (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)))
(fma.f32 cosTheta_O cosTheta_i (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)))
(+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))
(+.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)))
(*.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))
(/.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))) (neg.f32 v))
(/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) v)
(neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))
(*.f32 (neg.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) cosTheta_O)
(*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))
(*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1 binary32))
(*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (neg.f32 cosTheta_O))
(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))
(neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))
(*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)
(*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 sinTheta_i sinTheta_O))
(*.f32 (*.f32 sinTheta_i sinTheta_O) (*.f32 cosTheta_i cosTheta_O))
(*.f32 cosTheta_O (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))
(*.f32 (*.f32 sinTheta_O cosTheta_i) sinTheta_i)
(*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)
(*.f32 sinTheta_i (*.f32 sinTheta_O cosTheta_i))
(*.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_O))
#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) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)))) #s(literal 2 binary32)))
#s(approx (/ (* cosTheta_O cosTheta_i) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
#s(approx (* cosTheta_O cosTheta_i) (*.f32 cosTheta_i cosTheta_O))
#s(approx cosTheta_i cosTheta_i)
#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) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))
#s(approx (* 1/2 (* cosTheta_i (/ cosTheta_O v))) (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))) (*.f32 (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)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))) v))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (/.f32 (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) cosTheta_i) v))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) cosTheta_i))
#s(approx (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v) (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)))
#s(approx (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)))
#s(approx (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))
#s(approx (* (* sinTheta_i sinTheta_O) cosTheta_i) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (neg.f32 (/.f32 (*.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O)) cosTheta_i) v)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (neg.f32 cosTheta_i) (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O))))
#s(approx cosTheta_O cosTheta_O)
#s(approx (/ cosTheta_O v) (/.f32 cosTheta_O v))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (/.f32 (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O) v))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (neg.f32 (/.f32 (*.f32 (fma.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_i)) cosTheta_O) v)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (neg.f32 cosTheta_O) (fma.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_i))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)) (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) (*.f32 (*.f32 (*.f32 v v) 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)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_i (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 (pow.f32 v #s(literal 5 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) sinTheta_i (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_i (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (fma.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (fma.f32 (fma.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (*.f32 (*.f32 v v) v))) #s(literal 1/4 binary32) (*.f32 (/.f32 sinTheta_O (*.f32 v v)) #s(literal -1/2 binary32))) sinTheta_i (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i)) (*.f32 (*.f32 v v) (*.f32 v v)))) sinTheta_i (*.f32 (/.f32 sinTheta_O (*.f32 v v)) #s(literal -1/2 binary32))) sinTheta_i (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(literal 1/2 binary32))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))
#s(approx (/ (* sinTheta_i sinTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
#s(approx (* sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O))
#s(approx sinTheta_i sinTheta_i)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (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)) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))) (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))) sinTheta_i (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (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)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) sinTheta_i (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))) sinTheta_i (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (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)) (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) (*.f32 v v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O cosTheta_i) (*.f32 v v))))) sinTheta_i (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 v v) (*.f32 v v)))) sinTheta_i (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O cosTheta_i) (*.f32 v v))))) sinTheta_i (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (fma.f32 cosTheta_i cosTheta_O (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (*.f32 (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) v) #s(literal 1/2 binary32)))
#s(approx (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) (*.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v))) #s(literal -1/2 binary32)))
#s(approx (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) (*.f32 (fma.f32 (/.f32 sinTheta_O (*.f32 v v)) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i v))) sinTheta_i))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) (*.f32 (fma.f32 (/.f32 sinTheta_O v) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) sinTheta_i)) sinTheta_i))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) (*.f32 v v)))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v)) (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O cosTheta_i) (*.f32 v v))))) sinTheta_i))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) v))) sinTheta_i))
#s(approx (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 sinTheta_O (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i v))) sinTheta_i)))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) sinTheta_i)) sinTheta_i)))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (neg.f32 (*.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O cosTheta_i) (*.f32 v v)) (neg.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v))))) sinTheta_i)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (neg.f32 (*.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O cosTheta_i) v) (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) sinTheta_i)) sinTheta_i)))
#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 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_O (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (*.f32 (pow.f32 v #s(literal 5 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) sinTheta_O (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_O (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/4 binary32) (*.f32 (/.f32 sinTheta_i (*.f32 v v)) #s(literal -1/2 binary32))) sinTheta_O (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 v v) v)) #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O)) (*.f32 (*.f32 v v) (*.f32 v v)))) sinTheta_O (*.f32 (/.f32 sinTheta_i (*.f32 v v)) #s(literal -1/2 binary32))) sinTheta_O (/.f32 #s(literal 1/2 binary32) v)))
#s(approx sinTheta_O sinTheta_O)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))) sinTheta_O (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (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)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) sinTheta_O (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))) sinTheta_O (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (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)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i cosTheta_i) (*.f32 v v))))) sinTheta_O (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 v v) (*.f32 v v)))) sinTheta_O (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i cosTheta_i) (*.f32 v v))))) sinTheta_O (/.f32 (*.f32 cosTheta_i cosTheta_O) v)))
#s(approx (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) (*.f32 (fma.f32 (/.f32 sinTheta_i (*.f32 v v)) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O v))) sinTheta_O))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) (*.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) sinTheta_O)) sinTheta_O))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v)) (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i cosTheta_i) (*.f32 v v))))) sinTheta_O))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) v))) sinTheta_O))
#s(approx (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 sinTheta_i (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O v))) sinTheta_O)))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) sinTheta_O)) sinTheta_O)))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (neg.f32 (*.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i cosTheta_i) (*.f32 v v)) (neg.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v))))) sinTheta_O)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (neg.f32 (*.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i cosTheta_i) v) (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) sinTheta_O)) sinTheta_O)))
#s(approx v v)
#s(approx (sinh (/ 1 v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 v) (/.f32 #s(literal 1 binary32) v))
#s(approx (/ (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) v) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O) (*.f32 #s(literal 1/2 binary32) v)) (*.f32 v v)))
#s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O) (*.f32 #s(literal 1/2 binary32) v)) v))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) v)))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v)))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (fma.f32 (*.f32 v v) #s(literal 2 binary32) #s(literal 1/3 binary32)) (*.f32 v v) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v)))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (/.f32 #s(literal -1/60 binary32) (*.f32 (*.f32 v v) v)))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (/.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v)))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v)))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) (/.f32 #s(literal -1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v))))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) (/.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) (/.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))))
#s(approx (/ (+ (/ 1/60 (* v v)) 1/3) (* v v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v))))
#s(approx (/ (+ (/ 1/60 (* v v)) 1/3) (* v v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))))
#s(approx (+ (/ 1/60 (* v v)) 1/3) (/.f32 #s(literal 1/60 binary32) (*.f32 v v)))
#s(approx (+ (/ 1/60 (* v v)) 1/3) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 v v)))
#s(approx (* v v) (*.f32 v v))
#s(approx (* (sinh (/ 1 v)) 2) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (/.f32 (fma.f32 (*.f32 v cosTheta_i) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))) (*.f32 v v)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (/.f32 (fma.f32 (*.f32 v cosTheta_i) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_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 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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 (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_i cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.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)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) (*.f32 (*.f32 v v) v)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v v)))))) v))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (fma.f32 cosTheta_i cosTheta_O (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal -1/6 binary32))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))))) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal 1/6 binary32))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (-.f32 (fma.f32 cosTheta_i cosTheta_O (neg.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))) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))))) (+.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal 1/6 binary32)))))
#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)) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 v v) (*.f32 v v))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)) v))
#s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))) v))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (pow.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32)) #s(literal -1/12 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v)))) #s(literal 1/2 binary32)) v))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal -1/12 binary32))) v))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal -1/12 binary32)))) v))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (/.f32 (fma.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))) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal -1/12 binary32))))) v))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v v))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) #s(literal 2 binary32)) v))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (*.f32 #s(literal -2 binary32) v))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (neg.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v)))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (*.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (neg.f32 (*.f32 v v))) #s(literal 2 binary32)) v))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) #s(literal -2 binary32))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) (neg.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
#s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (neg.f32 (*.f32 v v))) #s(literal 2 binary32)))
#s(approx (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
#s(approx (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (neg.f32 (*.f32 v v))))
#s(approx (/ (+ (/ 1/60 (* v v)) 1/3) (* v v)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
#s(approx (/ (+ (/ 1/60 (* v v)) 1/3) (* v v)) (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v)))
#s(approx (+ (/ 1/60 (* v v)) 1/3) #s(literal 1/3 binary32))
#s(approx (+ (/ 1/60 (* v v)) 1/3) (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal -1/12 binary32))) v))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal -1/12 binary32)))) v))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (fma.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))) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal -7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal -1/12 binary32))))) v))
#s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))
#s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))
#s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) #s(literal 2 binary32)) v))
#s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (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_i cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) (*.f32 (*.f32 v v) v)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v v)))))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i)) (*.f32 v v))) (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal -1/6 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i)) (*.f32 v v)))) (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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)) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (neg.f32 (/.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_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal 1/6 binary32) (*.f32 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)) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) v) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32))) v))) v))) v)))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (fma.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal -1/6 binary32) (+.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) (*.f32 cosTheta_i cosTheta_O))))
#s(approx (/ (/ (* cosTheta_O cosTheta_i) v) (sinh (/ 1 v))) (fma.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/120 binary32) (fma.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) #s(literal -1/5040 binary32) (fma.f32 #s(literal 1/720 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) (fma.f32 #s(literal 1/36 binary32) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 v v) (*.f32 v v))) (*.f32 cosTheta_i cosTheta_O))))))))
#s(approx (sinh (/ 1 v)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 1 binary32)) v)))
#s(approx (sinh (/ 1 v)) (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)) #s(literal 1/120 binary32)) (*.f32 (*.f32 v v) (*.f32 v v)))) #s(literal 1 binary32)) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) v) #s(literal 1/4 binary32))) v)) #s(literal 1/2 binary32)) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) v)) #s(literal 1/12 binary32))) v))) v)) #s(literal 1/2 binary32)) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (*.f32 #s(literal 1/12 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))))) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (*.f32 #s(literal 1/12 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v)))))) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (fma.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))) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (*.f32 #s(literal 1/12 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))))))) v)))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (neg.f32 (*.f32 v v))) #s(literal 2 binary32))) v))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) (*.f32 v v)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)))
#s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (neg.f32 (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) #s(literal 2 binary32)) v)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (neg.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (*.f32 #s(literal 1/12 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))))) v)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (neg.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (*.f32 #s(literal 1/12 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v)))))) v)))
#s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (neg.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (fma.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))) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (*.f32 #s(literal 1/12 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))))))) v)))
#s(approx (* (sinh (/ 1 v)) 2) (neg.f32 (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (neg.f32 (*.f32 v v))) #s(literal 2 binary32)) v)))
#s(approx (* (sinh (/ 1 v)) 2) (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) (*.f32 v v)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (neg.f32 (/.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_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) v) #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(literal -1/2 binary32))) v))) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))) v))) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (neg.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) v) #s(literal 1/6 binary32))) v))) v))) v)))

eval43.0ms (0.7%)

Memory
-5.0MiB live, 84.8MiB allocated; 11ms collecting garbage
Compiler

Compiled 19 368 to 2 314 computations (88.1% saved)

prune45.0ms (0.7%)

Memory
-15.0MiB live, 88.9MiB allocated; 12ms collecting garbage
Pruning

45 alts after pruning (41 fresh and 4 done)

PrunedKeptTotal
New34627373
Fresh81422
Picked325
Done022
Total35745402
Accuracy
99.7%
Counts
402 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(/.f32 (/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 cosTheta_i cosTheta_O (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v))) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) v)
28.5%
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
98.6%
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (/.f32 (fma.f32 (*.f32 v cosTheta_i) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))) v)) v)) (*.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))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) v))) sinTheta_O)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
98.6%
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O)) v)) (*.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))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (/.f32 (fma.f32 (*.f32 v cosTheta_i) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))) (*.f32 v v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
98.8%
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
62.5%
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
98.2%
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))))) v)
98.6%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 v v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
98.6%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(literal 1/2 binary32)) v)))
98.7%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
97.9%
#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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v)))
68.1%
#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) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))) (*.f32 v v)))
62.7%
#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) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))) (*.f32 v v)))
97.9%
#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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (*.f32 v v)))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))
98.0%
#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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (*.f32 v v)))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
97.5%
#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 (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)))) (+.f32 (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 2 binary32))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 v v))))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (/.f32 (-.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 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 v v))))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))))
98.5%
#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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (*.f32 (log.f32 v) #s(literal 2 binary32))))))
67.9%
#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 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v)) (*.f32 v v))))
62.5%
#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 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v)) (*.f32 v v))))
62.5%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v v))))
67.9%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
73.9%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/60 binary32) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
73.9%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) v) v)) #s(literal 2 binary32)) v)))))
73.9%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
73.9%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
58.7%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 #s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) (/.f32 #s(literal -1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) v)))))
61.8%
#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) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 #s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (/.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v)))))))
73.9%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (fma.f32 (*.f32 v v) #s(literal 2 binary32) #s(literal 1/3 binary32)) (*.f32 v v) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v))))))
61.8%
#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) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v))))))
58.7%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) v))))))
62.7%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (*.f32 v v)))
98.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_i (*.f32 v v))))
98.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_O (*.f32 v v)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
62.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
98.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
73.9%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (neg.f32 (*.f32 v v))) #s(literal 2 binary32))) v)))))
62.5%
#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)))
62.5%
#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_i v) cosTheta_O)))
Compiler

Compiled 3 991 to 2 714 computations (32% saved)

series111.0ms (1.7%)

Memory
32.9MiB live, 222.1MiB allocated; 16ms collecting garbage
Counts
50 → 173
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)
(fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
#s(literal -1/2 binary32)
#s(literal 1/2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v v)))
(*.f32 cosTheta_O cosTheta_i)
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v)))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v))))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v)))
(/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v))
(fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32))
(*.f32 v v)
#s(literal 1/3 binary32)
#s(literal 1/60 binary32)
(*.f32 (*.f32 v 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 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))
(/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O)) v)) (*.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 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O)) 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)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O)) v))
(/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O)) v)
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O))
(*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O)
(+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i)
(neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
#s(literal 2 binary32)
Outputs
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))
#s(approx (/ (* cosTheta_i cosTheta_O) v) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* cosTheta_i cosTheta_O) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx cosTheta_i #s(hole binary32 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 (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) #s(hole binary32 (/ 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)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* 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 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (/ (* cosTheta_i (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* cosTheta_i (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))))
#s(approx (* (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O) #s(hole binary32 (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) #s(hole binary32 (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
#s(approx (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (/ (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))))
#s(approx (* (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O) #s(hole binary32 (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) #s(hole binary32 (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
#s(approx cosTheta_O #s(hole binary32 cosTheta_O))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (/ (* cosTheta_O (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* cosTheta_O (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))))
#s(approx (* (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O) #s(hole binary32 (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (/ (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 4))))))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))))))))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ 1/2 v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))))) (* 1/2 (/ 1 v)))))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(hole binary32 (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (/ (* sinTheta_i sinTheta_O) v) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) v)))
#s(approx (* sinTheta_i sinTheta_O) #s(hole binary32 (* sinTheta_O sinTheta_i)))
#s(approx sinTheta_i #s(hole binary32 sinTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* 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)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* 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)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#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_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))))
#s(approx (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) #s(hole binary32 (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2)))))
#s(approx (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) #s(hole binary32 (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/2 (/ 1 (* sinTheta_i v)))))))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(hole binary32 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(hole binary32 (* sinTheta_i (+ (* -1/2 (/ sinTheta_O v)) (* 1/2 (/ 1 sinTheta_i))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) #s(hole binary32 (* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))))
#s(approx (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) #s(hole binary32 (* -1 (* sinTheta_i (- (* 1/2 (/ sinTheta_O (pow v 2))) (* 1/2 (/ 1 (* sinTheta_i v))))))))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(hole binary32 (* -1 (* sinTheta_i (- (* 1/2 (/ sinTheta_O v)) (* 1/2 (/ 1 sinTheta_i)))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 4))))))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))))))))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))))
#s(approx sinTheta_O #s(hole binary32 sinTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#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 (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) #s(hole binary32 (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/2 (/ 1 (* sinTheta_O v)))))))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(hole binary32 (* sinTheta_O (+ (* -1/2 (/ sinTheta_i v)) (* 1/2 (/ 1 sinTheta_O))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) #s(hole binary32 (* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))))
#s(approx (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) #s(hole binary32 (* -1 (* sinTheta_O (- (* 1/2 (/ sinTheta_i (pow v 2))) (* 1/2 (/ 1 (* sinTheta_O v))))))))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(hole binary32 (* -1 (* sinTheta_O (- (* 1/2 (/ sinTheta_i v)) (* 1/2 (/ 1 sinTheta_O)))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))))
#s(approx v #s(hole binary32 v))
#s(approx (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) #s(hole binary32 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 v)) (pow v 2))))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(hole binary32 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 v)) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (/ 1 v) #s(hole binary32 (/ 1 v)))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (+ v v) #s(hole binary32 (* 2 v)))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(hole binary32 (/ 1/60 (pow v 3))))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(hole binary32 (/ (+ 1/60 (* 1/3 (pow v 2))) (pow v 3))))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(hole binary32 (/ (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))) (pow v 3))))
#s(approx (+ (* (* v v) 1/3) 1/60) #s(hole binary32 1/60))
#s(approx (+ (* (* v v) 1/3) 1/60) #s(hole binary32 (+ 1/60 (* 1/3 (pow v 2)))))
#s(approx (* v v) #s(hole binary32 (pow v 2)))
#s(approx (* (* v v) v) #s(hole binary32 (pow v 3)))
#s(approx (* (sinh (/ 1 v)) (+ v v)) #s(hole binary32 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) #s(hole binary32 (/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 v))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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 (/ (- (* 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 cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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 (/ (- (* -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 cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (pow v 2))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) (pow v 2))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) (pow v 2))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) 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 (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v 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) 1/3) 1/60) (* (* v v) v)) #s(hole binary32 (/ 1/3 v)))
#s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) #s(hole binary32 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) v)))
#s(approx (+ (* (* v v) 1/3) 1/60) #s(hole binary32 (* 1/3 (pow v 2))))
#s(approx (+ (* (* v v) 1/3) 1/60) #s(hole binary32 (* (pow v 2) (+ 1/3 (* 1/60 (/ 1 (pow v 2)))))))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) #s(hole binary32 (* 1/2 (/ cosTheta_i v))))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) #s(hole binary32 (/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)))
#s(approx (* (sinh (/ 1 v)) (+ v v)) #s(hole binary32 2))
#s(approx (* (sinh (/ 1 v)) (+ v v)) #s(hole binary32 (+ 2 (* 1/3 (/ 1 (pow v 2))))))
#s(approx (* (sinh (/ 1 v)) (+ v v)) #s(hole binary32 (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (sinh (/ 1 v)) (+ v 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)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* 1/2 (* cosTheta_O cosTheta_i))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #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)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #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))))))))
#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 (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ 2 v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 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 cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 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 cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (pow v 2))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (pow v 2))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1/2) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) 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 (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_i (* (* (sinh (/ 1 v)) (+ v v)) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* -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)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i)))) (* 1/2 (/ (- (* -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))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))))
#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 (* (sinh (/ 1 v)) 2) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))))
#s(approx (* (sinh (/ 1 v)) 2) #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:

TimeVariablePoint
11.0ms
cosTheta_i
inf
10.0ms
sinTheta_O
-inf
9.0ms
cosTheta_i
-inf
8.0ms
cosTheta_O
inf
8.0ms
sinTheta_i
-inf

rewrite260.0ms (4.1%)

Memory
8.0MiB live, 219.2MiB allocated; 104ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010057340
010576921
158746753
081576514
Stop Event
iter-limit
node-limit
iter-limit
Counts
223 → 349
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)
(fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
sinTheta_i
sinTheta_O
#s(literal -1/2 binary32)
#s(literal 1/2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v v)))
(*.f32 cosTheta_O cosTheta_i)
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v)))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v))))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v)))
(/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v))
(fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32))
(*.f32 v v)
#s(literal 1/3 binary32)
#s(literal 1/60 binary32)
(*.f32 (*.f32 v 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 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))
(/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O)) v)) (*.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 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O)) 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)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O)) v))
(/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O)) v)
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O))
(*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O)
(+.f32 (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_i)
(neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2)))))
#s(approx (/ (* cosTheta_i cosTheta_O) v) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) v)))
#s(approx (* cosTheta_i cosTheta_O) #s(hole binary32 (* cosTheta_O cosTheta_i)))
#s(approx cosTheta_i #s(hole binary32 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 (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) #s(hole binary32 (/ 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)) #s(hole binary32 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* 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 (/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (/ (* cosTheta_i (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))) v)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* cosTheta_i (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))))
#s(approx (* (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O) #s(hole binary32 (* cosTheta_O (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v))))))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) #s(hole binary32 (* cosTheta_i (- 1 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) #s(hole binary32 (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
#s(approx (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) #s(hole binary32 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (/ (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))))
#s(approx (* (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O) #s(hole binary32 (* cosTheta_O (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))))))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) #s(hole binary32 (* cosTheta_i (+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v))))))
#s(approx cosTheta_O #s(hole binary32 cosTheta_O))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (/ (* cosTheta_O (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))) v)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* cosTheta_O (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))))
#s(approx (* (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O) #s(hole binary32 (* cosTheta_O (- cosTheta_i (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (/ (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))) v))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2)))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 4))))))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_i (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* sinTheta_i (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))))))))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ 1/2 v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/4 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 3))))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* sinTheta_i (+ (* -1/12 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 4))) (* 1/4 (/ (pow sinTheta_O 2) (pow v 3))))))) (* 1/2 (/ 1 v)))))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(hole binary32 (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))))
#s(approx (/ (* sinTheta_i sinTheta_O) v) #s(hole binary32 (/ (* sinTheta_O sinTheta_i) v)))
#s(approx (* sinTheta_i sinTheta_O) #s(hole binary32 (* sinTheta_O sinTheta_i)))
#s(approx sinTheta_i #s(hole binary32 sinTheta_i))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (/ (* cosTheta_O cosTheta_i) (* 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)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* 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)) #s(hole binary32 (+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#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_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) #s(hole binary32 (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* 1/2 (/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) v))))
#s(approx (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) #s(hole binary32 (* -1/2 (/ (* sinTheta_O sinTheta_i) (pow v 2)))))
#s(approx (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) #s(hole binary32 (* sinTheta_i (+ (* -1/2 (/ sinTheta_O (pow v 2))) (* 1/2 (/ 1 (* sinTheta_i v)))))))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(hole binary32 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(hole binary32 (* sinTheta_i (+ (* -1/2 (/ sinTheta_O v)) (* 1/2 (/ 1 sinTheta_i))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2)))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) #s(hole binary32 (* sinTheta_i (- (/ cosTheta_i sinTheta_i) (/ (* cosTheta_i sinTheta_O) v)))))
#s(approx (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) #s(hole binary32 (* -1 (* sinTheta_i (- (* 1/2 (/ sinTheta_O (pow v 2))) (* 1/2 (/ 1 (* sinTheta_i v))))))))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(hole binary32 (* -1 (* sinTheta_i (- (* 1/2 (/ sinTheta_O v)) (* 1/2 (/ 1 sinTheta_i)))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2)))))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) #s(hole binary32 (* -1 (* sinTheta_i (- (* -1 (/ cosTheta_i sinTheta_i)) (* -1 (/ (* cosTheta_i sinTheta_O) v)))))))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 4))))))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (+ (* 1/2 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* sinTheta_O (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 5))) (* 1/4 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))))))))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/4 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 3))))) (* 1/2 (/ 1 v)))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* sinTheta_O (+ (* -1/12 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 4))) (* 1/4 (/ (pow sinTheta_i 2) (pow v 3))))))) (* 1/2 (/ 1 v)))))
#s(approx sinTheta_O #s(hole binary32 sinTheta_O))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))))
#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 (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) #s(hole binary32 (* sinTheta_O (+ (* -1/2 (/ sinTheta_i (pow v 2))) (* 1/2 (/ 1 (* sinTheta_O v)))))))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(hole binary32 (* sinTheta_O (+ (* -1/2 (/ sinTheta_i v)) (* 1/2 (/ 1 sinTheta_O))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) #s(hole binary32 (* sinTheta_O (- (/ cosTheta_i sinTheta_O) (/ (* cosTheta_i sinTheta_i) v)))))
#s(approx (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) #s(hole binary32 (* -1 (* sinTheta_O (- (* 1/2 (/ sinTheta_i (pow v 2))) (* 1/2 (/ 1 (* sinTheta_O v))))))))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(hole binary32 (* -1 (* sinTheta_O (- (* 1/2 (/ sinTheta_i v)) (* 1/2 (/ 1 sinTheta_O)))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) #s(hole binary32 (* -1 (* sinTheta_O (- (* -1 (/ cosTheta_i sinTheta_O)) (* -1 (/ (* cosTheta_i sinTheta_i) v)))))))
#s(approx v #s(hole binary32 v))
#s(approx (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) #s(hole binary32 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 v)) (pow v 2))))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(hole binary32 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/2 v)) v)))
#s(approx (sinh (/ 1 v)) #s(hole binary32 (* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (/ 1 v) #s(hole binary32 (/ 1 v)))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (+ v v) #s(hole binary32 (* 2 v)))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(hole binary32 (/ 1/60 (pow v 3))))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(hole binary32 (/ (+ 1/60 (* 1/3 (pow v 2))) (pow v 3))))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(hole binary32 (/ (+ 1/60 (* (pow v 2) (+ 1/3 (* 2 (pow v 2))))) (pow v 3))))
#s(approx (+ (* (* v v) 1/3) 1/60) #s(hole binary32 1/60))
#s(approx (+ (* (* v v) 1/3) 1/60) #s(hole binary32 (+ 1/60 (* 1/3 (pow v 2)))))
#s(approx (* v v) #s(hole binary32 (pow v 2)))
#s(approx (* (* v v) v) #s(hole binary32 (pow v 3)))
#s(approx (* (sinh (/ 1 v)) (+ v v)) #s(hole binary32 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) #s(hole binary32 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) (pow v 2))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) #s(hole binary32 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) #s(hole binary32 (/ (- (* cosTheta_i v) (* cosTheta_i (* sinTheta_O sinTheta_i))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 v))) #s(hole binary32 (* 1/2 (/ (* cosTheta_O cosTheta_i) v))))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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 (/ (- (* 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 cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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 (/ (- (* -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 cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (pow v 2))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i)))) (pow v 2))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* 1/2 (* cosTheta_O cosTheta_i))))) (pow v 2))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (/ (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))) 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 (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v 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) 1/3) 1/60) (* (* v v) v)) #s(hole binary32 (/ 1/3 v)))
#s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) #s(hole binary32 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) v)))
#s(approx (+ (* (* v v) 1/3) 1/60) #s(hole binary32 (* 1/3 (pow v 2))))
#s(approx (+ (* (* v v) 1/3) 1/60) #s(hole binary32 (* (pow v 2) (+ 1/3 (* 1/60 (/ 1 (pow v 2)))))))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) #s(hole binary32 (* 1/2 (/ cosTheta_i v))))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) #s(hole binary32 (/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) #s(hole binary32 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)))
#s(approx (* (sinh (/ 1 v)) (+ v v)) #s(hole binary32 2))
#s(approx (* (sinh (/ 1 v)) (+ v v)) #s(hole binary32 (+ 2 (* 1/3 (/ 1 (pow v 2))))))
#s(approx (* (sinh (/ 1 v)) (+ v v)) #s(hole binary32 (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))))
#s(approx (* (sinh (/ 1 v)) (+ v 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)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (* 1/2 (* cosTheta_O cosTheta_i))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #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)))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #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))))))))
#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 (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ 2 v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (* 1/3 (/ 1 (pow v 2)))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #s(hole binary32 (/ (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))) v)))
#s(approx (* (sinh (/ 1 v)) 2) #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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (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_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 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 cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 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 cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (pow v 2))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) #s(hole binary32 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/4 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) (pow v 2))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* 1/4 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v))) v)) 1/2) v))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (* 1/12 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2) 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 (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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) (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(hole binary32 (* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_i (* (* (sinh (/ 1 v)) (+ v v)) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) #s(hole binary32 (* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* -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)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i)))) (* 1/2 (/ (- (* -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))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (* cosTheta_O cosTheta_i)))))
#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 (* (sinh (/ 1 v)) 2) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2) v))))
#s(approx (* (sinh (/ 1 v)) 2) #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
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))) v)) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
(/.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) (neg.f32 v))
(/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)
(fma.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 1/2 binary32) (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) v))
(fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) v) (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) v))
(+.f32 (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) v) (/.f32 #s(literal 1/2 binary32) v))
(+.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) v))
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32))) #s(literal 1/4 binary32)) (-.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal -1/8 binary32) (pow.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32)))) (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32))))))
(/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) #s(literal 1/2 binary32)))))
(fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32))
(+.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)))
(*.f32 sinTheta_i (/.f32 sinTheta_O v))
(*.f32 sinTheta_O (/.f32 sinTheta_i v))
(/.f32 (neg.f32 (*.f32 sinTheta_i sinTheta_O)) (neg.f32 v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 sinTheta_i sinTheta_O)
(*.f32 sinTheta_O sinTheta_i)
sinTheta_i
sinTheta_O
#s(literal -1/2 binary32)
#s(literal 1/2 binary32)
(/.f32 (*.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) (neg.f32 v))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(literal 1 binary32) v)
(pow.f32 v #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 v) #s(literal -1 binary32)))
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v v))))
(*.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v v))))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v v)))
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v v))
(*.f32 #s(literal 2 binary32) v)
(*.f32 v #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 v v) (*.f32 v v)) (-.f32 v v))
(/.f32 (fma.f32 (*.f32 v v) v (*.f32 (*.f32 v v) v)) (fma.f32 v v (-.f32 (*.f32 v v) (*.f32 v v))))
(+.f32 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 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v)))))))
(*.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v))))))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v))))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v)))))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v))))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v)))
(/.f32 (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 v v)) v)
(/.f32 (neg.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32))) (neg.f32 (*.f32 (*.f32 v v) v)))
(/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v))
(+.f32 (/.f32 (*.f32 (*.f32 v v) #s(literal 1/3 binary32)) (*.f32 (*.f32 v v) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) v)))
(+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) v)) (/.f32 (*.f32 (*.f32 v v) #s(literal 1/3 binary32)) (*.f32 (*.f32 v v) v)))
(-.f32 #s(literal 1/60 binary32) (*.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(/.f32 (-.f32 #s(literal 1/3600 binary32) (*.f32 (*.f32 (*.f32 v v) #s(literal 1/3 binary32)) (*.f32 (*.f32 v v) #s(literal 1/3 binary32)))) (-.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) #s(literal 1/3 binary32))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 v v) #s(literal 1/3 binary32)) (*.f32 (*.f32 v v) #s(literal 1/3 binary32))) #s(literal 1/3600 binary32)) (-.f32 (*.f32 (*.f32 v v) #s(literal 1/3 binary32)) #s(literal 1/60 binary32)))
(/.f32 (+.f32 #s(literal 1/216000 binary32) (*.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v)))) (+.f32 #s(literal 1/3600 binary32) (-.f32 (*.f32 (*.f32 (*.f32 v v) #s(literal 1/3 binary32)) (*.f32 (*.f32 v v) #s(literal 1/3 binary32))) (*.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) #s(literal 1/3 binary32))))))
(/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v)) #s(literal 1/27 binary32) #s(literal 1/216000 binary32)) (fma.f32 (*.f32 (*.f32 v v) #s(literal 1/3 binary32)) (*.f32 (*.f32 v v) #s(literal 1/3 binary32)) (-.f32 #s(literal 1/3600 binary32) (*.f32 (*.f32 (*.f32 v v) #s(literal 1/3 binary32)) #s(literal 1/60 binary32)))))
(fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32))
(fma.f32 #s(literal 1/3 binary32) (*.f32 v v) #s(literal 1/60 binary32))
(fma.f32 v (*.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32))
(+.f32 (*.f32 (*.f32 v v) #s(literal 1/3 binary32)) #s(literal 1/60 binary32))
(+.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) #s(literal 1/3 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)) v)
(*.f32 (fabs.f32 v) (fabs.f32 v))
(*.f32 (neg.f32 v) (neg.f32 v))
(*.f32 v v)
(pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(pow.f32 (fabs.f32 v) #s(literal 2 binary32))
(pow.f32 (*.f32 v v) #s(literal 1 binary32))
(pow.f32 (neg.f32 v) #s(literal 2 binary32))
(pow.f32 v #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 v) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 v) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 v) #s(literal 2 binary32)))
#s(literal 1/3 binary32)
#s(literal 1/60 binary32)
(*.f32 (pow.f32 v #s(literal 3/2 binary32)) (pow.f32 v #s(literal 3/2 binary32)))
(*.f32 (*.f32 v v) v)
(*.f32 v (*.f32 v v))
(pow.f32 (pow.f32 v #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 v v) #s(literal 3/2 binary32))
(pow.f32 v #s(literal 3 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 v) #s(literal 3 binary32))) (sinh.f32 (*.f32 (log.f32 v) #s(literal 3 binary32))))
(exp.f32 (*.f32 (log.f32 v) #s(literal 3 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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))))
(*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_i (*.f32 v v)))
(*.f32 (/.f32 cosTheta_O (*.f32 v v)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))) cosTheta_O)
(*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v))
(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))))
(/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v)))
(/.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))) v)
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (neg.f32 cosTheta_i) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))))
(/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v)))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))
(*.f32 (*.f32 v v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v v) #s(literal 2 binary32)))
(*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v 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)) (+.f32 v v))
(*.f32 (+.f32 v v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(fma.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(fma.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(+.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(+.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (neg.f32 v))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O)) v)) (*.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 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O)) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(/.f32 (neg.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O)) v))) (neg.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O)) 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)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O)) v))
(/.f32 (neg.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O))) (neg.f32 v))
(/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O)) v)
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O))
(*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O)
(*.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i))
(fma.f32 cosTheta_O cosTheta_i (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))))
(fma.f32 cosTheta_O cosTheta_i (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) cosTheta_O))
(fma.f32 cosTheta_i cosTheta_O (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))))
(fma.f32 cosTheta_i cosTheta_O (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) cosTheta_O))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))))
(+.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) cosTheta_O))
(-.f32 cosTheta_i (*.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)))
(/.f32 (-.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))))) (-.f32 cosTheta_i (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))))
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))) (*.f32 cosTheta_i cosTheta_i)) (-.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) cosTheta_i))
(/.f32 (fma.f32 (*.f32 cosTheta_i cosTheta_i) cosTheta_i (pow.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) #s(literal 3 binary32))) (fma.f32 cosTheta_i cosTheta_i (-.f32 (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))) (*.f32 cosTheta_i (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))))))
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) #s(literal 3 binary32)) (*.f32 (*.f32 cosTheta_i cosTheta_i) cosTheta_i)) (fma.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (-.f32 (*.f32 cosTheta_i cosTheta_i) (*.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) cosTheta_i))))
(fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)
(fma.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) #s(literal -1 binary32) cosTheta_i)
(fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_i)
(fma.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))) cosTheta_i)
(+.f32 (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) cosTheta_i)
(+.f32 cosTheta_i (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))))
(*.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(*.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i))
(*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) v)
(neg.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i))
(*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)
(*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(/.f32 (neg.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) (neg.f32 v))
(/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) 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)))
(-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32))) (*.f32 #s(literal 2 binary32) (cosh.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 (neg.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))) (+.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal -2 binary32)) (*.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)))))))
#s(literal 2 binary32)
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 v))) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (*.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))) (*.f32 v v)) #s(literal 1/2 binary32)))
#s(approx (/ (* cosTheta_i cosTheta_O) v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(approx (* cosTheta_i cosTheta_O) (*.f32 cosTheta_O cosTheta_i))
#s(approx cosTheta_i cosTheta_i)
#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) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))) (*.f32 (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)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v))))) v))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (/.f32 (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) cosTheta_i) v))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) cosTheta_O) cosTheta_i))
#s(approx (* (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i) cosTheta_O))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v)) cosTheta_i))
#s(approx (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) (*.f32 cosTheta_i (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))))
#s(approx (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v)) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (neg.f32 (/.f32 (*.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O)) cosTheta_i) v)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (neg.f32 cosTheta_i) (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i sinTheta_O) v) (neg.f32 cosTheta_O))))
#s(approx (* (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) cosTheta_i) cosTheta_O))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) (*.f32 (fma.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)) #s(literal 1 binary32)) cosTheta_i))
#s(approx cosTheta_O cosTheta_O)
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (/.f32 (*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O) v))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O))
#s(approx (* (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) cosTheta_O) (*.f32 (-.f32 cosTheta_i (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)) cosTheta_O))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (neg.f32 (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i)) cosTheta_O) v)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (neg.f32 cosTheta_O) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i (neg.f32 cosTheta_i))))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 v))) (fma.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))) cosTheta_O (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 v))) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_i (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v)))))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 v))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 (pow.f32 v #s(literal 5 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) sinTheta_i (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_i (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v)))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal 1/2 binary32)))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal 1/2 binary32))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O)) (*.f32 (*.f32 v v) v))) sinTheta_i (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal 1/2 binary32))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal -1/2 binary32) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 5 binary32)))) sinTheta_i)) sinTheta_i (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal 1/2 binary32))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (fma.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (fma.f32 (fma.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 sinTheta_i (*.f32 (*.f32 v v) v))) #s(literal 1/4 binary32) (*.f32 (/.f32 sinTheta_O (*.f32 v v)) #s(literal -1/2 binary32))) sinTheta_i (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i)) (*.f32 (*.f32 v v) (*.f32 v v)))) sinTheta_i (*.f32 (/.f32 sinTheta_O (*.f32 v v)) #s(literal -1/2 binary32))) sinTheta_i (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(literal 1/2 binary32))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)))
#s(approx (/ (* sinTheta_i sinTheta_O) v) (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
#s(approx (* sinTheta_i sinTheta_O) (*.f32 sinTheta_i sinTheta_O))
#s(approx sinTheta_i sinTheta_i)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (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)) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))) (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))))) sinTheta_i (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (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)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) sinTheta_i (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))))) sinTheta_i (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (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)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) (*.f32 v v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O cosTheta_i) (*.f32 v v))))) sinTheta_i (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 v v) (*.f32 v v)))) sinTheta_i (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O cosTheta_i) (*.f32 v v))))) sinTheta_i (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)))))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (*.f32 (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) v) #s(literal 1/2 binary32)))
#s(approx (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) (*.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (*.f32 v v))) #s(literal -1/2 binary32)))
#s(approx (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) (*.f32 (fma.f32 (/.f32 sinTheta_O (*.f32 v v)) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i v))) sinTheta_i))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32)))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) (*.f32 (fma.f32 (/.f32 sinTheta_O v) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) sinTheta_i)) sinTheta_i))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (/.f32 (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i)) (*.f32 v v)))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v)) (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O cosTheta_i) (*.f32 v v))))) sinTheta_i))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (neg.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i))))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_i) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) v))) sinTheta_i))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) (*.f32 (-.f32 (/.f32 cosTheta_i sinTheta_i) (*.f32 cosTheta_i (/.f32 sinTheta_O v))) sinTheta_i))
#s(approx (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 sinTheta_O (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i v))) sinTheta_i)))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 sinTheta_O v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) sinTheta_i)) sinTheta_i)))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (neg.f32 (*.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O cosTheta_i) (*.f32 v v)) (neg.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_i v))))) sinTheta_i)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (neg.f32 (*.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 sinTheta_O v)) (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) sinTheta_i)) sinTheta_i)))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) (neg.f32 (*.f32 (-.f32 (/.f32 (neg.f32 cosTheta_i) sinTheta_i) (neg.f32 (*.f32 cosTheta_i (/.f32 sinTheta_O v)))) sinTheta_i)))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 v))) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_O (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v)))))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 v))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (*.f32 (pow.f32 v #s(literal 5 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) sinTheta_O (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))) sinTheta_O (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v)))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O)) (*.f32 (*.f32 v v) v))) sinTheta_O (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal 1/2 binary32))))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal -1/2 binary32) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 5 binary32)))) sinTheta_O)) sinTheta_O (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal 1/2 binary32))))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/4 binary32) (*.f32 (/.f32 sinTheta_i (*.f32 v v)) #s(literal -1/2 binary32))) sinTheta_O (/.f32 #s(literal 1/2 binary32) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 v v) v)) #s(literal 1/4 binary32) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O)) (*.f32 (*.f32 v v) (*.f32 v v)))) sinTheta_O (*.f32 (/.f32 sinTheta_i (*.f32 v v)) #s(literal -1/2 binary32))) sinTheta_O (/.f32 #s(literal 1/2 binary32) v)))
#s(approx sinTheta_O sinTheta_O)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))))) sinTheta_O (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (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)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 (*.f32 v v) (*.f32 v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))) sinTheta_O (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))))) sinTheta_O (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (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)) (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/2 binary32) (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i cosTheta_i) (*.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)) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 v v) (*.f32 v v)))) sinTheta_O (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i cosTheta_i) (*.f32 v v))))) sinTheta_O (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
#s(approx (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) (*.f32 (fma.f32 (/.f32 sinTheta_i (*.f32 v v)) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O v))) sinTheta_O))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) (*.f32 (fma.f32 (/.f32 sinTheta_i v) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) sinTheta_O)) sinTheta_O))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v)) (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i cosTheta_i) (*.f32 v v))))) sinTheta_O))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) v))) sinTheta_O))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) (*.f32 (-.f32 (/.f32 cosTheta_i sinTheta_O) (*.f32 cosTheta_i (/.f32 sinTheta_i v))) sinTheta_O))
#s(approx (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 sinTheta_i (*.f32 v v)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O v))) sinTheta_O)))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 sinTheta_i v) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) sinTheta_O)) sinTheta_O)))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (neg.f32 (*.f32 (fma.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i cosTheta_i) (*.f32 v v)) (neg.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v))))) sinTheta_O)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (neg.f32 (*.f32 (fma.f32 cosTheta_O (*.f32 cosTheta_i (/.f32 sinTheta_i v)) (/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) sinTheta_O)) sinTheta_O)))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) (neg.f32 (*.f32 (-.f32 (/.f32 (neg.f32 cosTheta_i) sinTheta_O) (neg.f32 (*.f32 cosTheta_i (/.f32 sinTheta_i v)))) sinTheta_O)))
#s(approx v v)
#s(approx (/ (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) v) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O) (*.f32 #s(literal 1/2 binary32) v)) (*.f32 v v)))
#s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 sinTheta_i sinTheta_O) (*.f32 #s(literal 1/2 binary32) v)) v))
#s(approx (sinh (/ 1 v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
#s(approx (/ 1 v) (/.f32 #s(literal 1 binary32) v))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v)))
#s(approx (+ v v) (+.f32 v v))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) v)))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v)))
#s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (fma.f32 (*.f32 v v) #s(literal 2 binary32) #s(literal 1/3 binary32)) (*.f32 v v) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v)))
#s(approx (+ (* (* v v) 1/3) 1/60) #s(literal 1/60 binary32))
#s(approx (+ (* (* v v) 1/3) 1/60) (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)))
#s(approx (* v v) (*.f32 v v))
#s(approx (* (* v v) v) (*.f32 (*.f32 v v) v))
#s(approx (* (sinh (/ 1 v)) (+ v v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)))
#s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (/.f32 (fma.f32 (*.f32 v cosTheta_i) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))) (*.f32 v v)))
#s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (/.f32 (fma.f32 (*.f32 v cosTheta_i) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))) v))
#s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) (/.f32 (*.f32 cosTheta_i (-.f32 v (*.f32 sinTheta_i sinTheta_O))) v))
#s(approx (* (sinh (/ 1 v)) 2) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 v))) (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32)))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 v))) (/.f32 (fma.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)) #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) v))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 v))) (/.f32 (fma.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))))) v))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 v))) (/.f32 (fma.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) (*.f32 (*.f32 v v) v)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v)))))) v))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (/.f32 (fma.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)) #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))) (*.f32 v v)))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (/.f32 (fma.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)) #s(literal -1/2 binary32) (fma.f32 (*.f32 cosTheta_O (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 v v))) #s(literal 1/4 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)))) (*.f32 v v)))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (/.f32 (fma.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal -1/12 binary32) (fma.f32 (*.f32 cosTheta_O (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 v v))) #s(literal 1/4 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32))))) (*.f32 v v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v))) v))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 v v) v)) #s(literal -1/12 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O))) (*.f32 v v)))) #s(literal 1/2 binary32)) 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)) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 v v) (*.f32 v v))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) #s(literal 1 binary32)) v))
#s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 #s(literal -1/12 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))))) v))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 #s(literal -1/12 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v)))))) v))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -7/360 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/840 binary32))) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 #s(literal -1/12 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))))))) v))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
#s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 #s(literal 1/3 binary32) v))
#s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) v))
#s(approx (+ (* (* v v) 1/3) 1/60) (*.f32 (*.f32 v v) #s(literal 1/3 binary32)))
#s(approx (+ (* (* v v) 1/3) 1/60) (*.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v)))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) (*.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32)))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) (/.f32 (fma.f32 (/.f32 cosTheta_i (*.f32 v v)) #s(literal -1/12 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_i)) v))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) (/.f32 (fma.f32 (/.f32 (*.f32 cosTheta_i #s(literal -7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (fma.f32 (/.f32 cosTheta_i (*.f32 v v)) #s(literal -1/12 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_i))) v))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta_i #s(literal -7/360 binary32)) #s(literal -1/6 binary32) (*.f32 cosTheta_i #s(literal -1/840 binary32))) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 cosTheta_i #s(literal -7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (fma.f32 (/.f32 cosTheta_i (*.f32 v v)) #s(literal -1/12 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_i)))) v))
#s(approx (* (sinh (/ 1 v)) (+ v v)) #s(literal 2 binary32))
#s(approx (* (sinh (/ 1 v)) (+ v v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))
#s(approx (* (sinh (/ 1 v)) (+ v v)) (+.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) #s(literal 2 binary32)))
#s(approx (* (sinh (/ 1 v)) (+ v v)) (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_O 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)) (fma.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)) #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta_O 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)) (fma.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (fma.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) (*.f32 (*.f32 v v) v)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v)))))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 cosTheta_O cosTheta_i (neg.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)))) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i)) (*.f32 v v))) (neg.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)))) v))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 v v) v)) #s(literal -1/6 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i)) (*.f32 v v)))) (neg.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)))) v))
#s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))
#s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))
#s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) #s(literal 2 binary32)) v))
#s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v v)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 v))) (neg.f32 (/.f32 (fma.f32 (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i)) #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal -1/2 binary32))) v)))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 v))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (neg.f32 (/.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_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) v))) v)))
#s(approx (/ (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (sinh (/ 1 v))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) v) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1/2 binary32))) v))) v))) v)))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) cosTheta_O) v) #s(literal -1/4 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) v))) (*.f32 v v)))
#s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) v) #s(literal -1/12 binary32))) v))) v))) (*.f32 v v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i (*.f32 (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) v) #s(literal 1/4 binary32))) v)) #s(literal 1/2 binary32)) v)))
#s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_O) sinTheta_i (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 sinTheta_O sinTheta_O)) (*.f32 sinTheta_i sinTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i) v)) #s(literal 1/12 binary32))) v))) v)) #s(literal 1/2 binary32)) v)))
#s(approx (sinh (/ 1 v)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal 1/6 binary32)) (*.f32 v v))) #s(literal 1 binary32)) v)))
#s(approx (sinh (/ 1 v)) (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)) #s(literal 1/120 binary32)) (*.f32 (*.f32 v v) (*.f32 v v)))) #s(literal 1 binary32)) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (*.f32 #s(literal 1/12 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))))) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (*.f32 #s(literal 1/12 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v)))))) v)))
#s(approx (/ (* cosTheta_O cosTheta_i) (* (* (sinh (/ 1 v)) 2) (* v v))) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 7/360 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/840 binary32))) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (*.f32 #s(literal 1/12 binary32) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))))))) v)))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (neg.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32))) v))
#s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) (*.f32 v v)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) (neg.f32 (/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) v)))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (fma.f32 (/.f32 (*.f32 cosTheta_i #s(literal 7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (*.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (*.f32 v v))))) v)))
#s(approx (/ cosTheta_i (* (* (sinh (/ 1 v)) (+ v v)) v)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta_i (fma.f32 (/.f32 (fma.f32 (*.f32 cosTheta_i #s(literal 7/360 binary32)) #s(literal -1/6 binary32) (*.f32 cosTheta_i #s(literal 1/840 binary32))) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (*.f32 v v) v))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 cosTheta_i #s(literal 7/360 binary32)) (*.f32 (*.f32 v v) (*.f32 v v))) #s(literal -1/2 binary32) (*.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))))) v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (neg.f32 (/.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_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O))) v) #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal -1/2 binary32))) v))) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (*.f32 cosTheta_O (*.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i))) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32) (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))) v))) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (neg.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) cosTheta_i (neg.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) (*.f32 sinTheta_O sinTheta_O)) cosTheta_i) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_i (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_O)) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_i)) cosTheta_O) v) #s(literal 1/6 binary32))) v))) v))) v)))
#s(approx (* (sinh (/ 1 v)) 2) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))
#s(approx (* (sinh (/ 1 v)) 2) (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) (*.f32 v v)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)))

eval46.0ms (0.7%)

Memory
21.4MiB live, 63.3MiB allocated; 15ms collecting garbage
Compiler

Compiled 19 378 to 2 264 computations (88.3% saved)

prune94.0ms (1.5%)

Memory
-4.1MiB live, 88.7MiB allocated; 48ms collecting garbage
Pruning

55 alts after pruning (49 fresh and 6 done)

PrunedKeptTotal
New33019349
Fresh63036
Picked235
Done134
Total33955394
Accuracy
99.7%
Counts
394 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(/.f32 (/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) cosTheta_i) cosTheta_O)) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32)) v)
28.5%
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
98.6%
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (/.f32 (fma.f32 (*.f32 v cosTheta_i) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))) v)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
98.6%
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 #s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) (/.f32 (*.f32 cosTheta_i (-.f32 v (*.f32 sinTheta_i sinTheta_O))) v)) cosTheta_O)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
98.6%
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 #s(approx (+ (neg (* cosTheta_i (/ (* sinTheta_i sinTheta_O) v))) cosTheta_i) (*.f32 (-.f32 (/.f32 cosTheta_i sinTheta_O) (*.f32 cosTheta_i (/.f32 sinTheta_i v))) sinTheta_O)) cosTheta_O)) v)) (*.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))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (/ (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) v) (/.f32 (fma.f32 (*.f32 v cosTheta_i) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))) (*.f32 v v)))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
98.8%
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
98.6%
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(literal 1/2 binary32)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
98.7%
(/.f32 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
62.5%
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32))) v)
98.2%
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))))) v)
98.4%
(/.f32 #s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal 1/2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
98.6%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 v v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
98.6%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(literal 1/2 binary32)) v)))
98.7%
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
98.9%
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
97.9%
#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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v)))
68.1%
#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) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))) (*.f32 v v)))
62.7%
#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) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))) (*.f32 v v)))
97.9%
#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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (*.f32 v v)))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v)))
98.0%
#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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (*.f32 v v)))
97.5%
#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 (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)))) (+.f32 (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 2 binary32))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 v v))))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (/.f32 (-.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 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 v v))))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))))
98.4%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (exp.f32 (*.f32 (log.f32 v) #s(literal 2 binary32))))))
98.5%
#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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))))
67.9%
#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 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v)) (*.f32 v v))))
62.5%
#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 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v)) (*.f32 v v))))
62.5%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v v))))
67.9%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
73.9%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/60 binary32) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
73.9%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) v) v)) #s(literal 2 binary32)) v)))))
73.9%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
73.9%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
73.9%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (fma.f32 (*.f32 v v) #s(literal 2 binary32) #s(literal 1/3 binary32)) (*.f32 v v) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v))))))
61.8%
#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) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v))))))
61.8%
#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) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 v v)) v)))))
61.8%
#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) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (-.f32 #s(literal 1/60 binary32) (*.f32 #s(literal -1/3 binary32) (*.f32 v v))) (*.f32 (*.f32 v v) v))))))
58.7%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(approx (+ (* (* v v) 1/3) 1/60) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v))))))
61.8%
#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) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) v))))))
60.5%
#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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 #s(literal 1/3 binary32) v))))))
62.7%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (*.f32 v v)))
98.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))) cosTheta_O))
98.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_i (*.f32 v v))))
98.6%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_O (*.f32 v v)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
62.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
98.5%
#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 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))) v)))
98.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
67.9%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(approx (* (sinh (/ 1 v)) (+ v v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) v))))
62.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v v)))))
73.9%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (neg.f32 (*.f32 v v))) #s(literal 2 binary32))) v)))))
61.8%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v)))))))
62.5%
#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)))
62.5%
#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_i v) cosTheta_O)))
Compiler

Compiled 6 562 to 2 333 computations (64.4% saved)

regimes302.0ms (4.7%)

Memory
25.2MiB live, 247.6MiB allocated; 146ms collecting garbage
Counts
88 → 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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))))
#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_i v) cosTheta_O)))
#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_i) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 #s(literal 1/3 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_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(approx (+ (* (* v v) 1/3) 1/60) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(approx (* (sinh (/ 1 v)) (+ v v)) (+.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 (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) v))))))
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(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (/.f32 (fma.f32 (*.f32 v cosTheta_i) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i))) v)) v)) (*.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 #s(approx (+ (* cosTheta_i cosTheta_O) (/ (neg (* (* (* sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O)) v)) (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i sinTheta_O) (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) v))) sinTheta_O)) v)) (*.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 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (exp.f32 (*.f32 sinTheta_O (/.f32 sinTheta_i (neg.f32 v)))) (+.f32 v v)))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (*.f32 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 (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 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* cosTheta_O (/ cosTheta_i v)) (/ (neg (* (* (* sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (* v v))) (*.f32 (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 sinTheta_O v)) (neg.f32 (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_i cosTheta_i) (*.f32 v v))))) sinTheta_O))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) (neg.f32 v))) (*.f32 #s(literal 2 binary32) v)))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i v) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 v v)))) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (neg.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_O cosTheta_i) (*.f32 (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 2 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 2 binary32)))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 v v))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) (*.f32 v v)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 v v))) (/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 (*.f32 v v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 (-.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v)))) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 #s(literal 1 binary32) v)))) v))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (*.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i cosTheta_O))) (-.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_O) cosTheta_i) cosTheta_O) v)) (*.f32 cosTheta_i cosTheta_O))) v)) (*.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) (*.f32 (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32)))) (+.f32 (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 2 binary32))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal -1 binary32) v)))))) (*.f32 v v))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 #s(literal 1 binary32) v) #s(literal 3 binary32))) (exp.f32 (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 3 binary32)))) (+.f32 (exp.f32 (/.f32 #s(literal 2 binary32) v)) (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal 2 binary32) v))) (exp.f32 (+.f32 (/.f32 #s(literal 1 binary32) v) (neg.f32 (/.f32 #s(literal 1 binary32) v))))))) v))
Outputs
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
Calls

8 calls:

94.0ms
(/.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))
42.0ms
sinTheta_O
36.0ms
cosTheta_O
33.0ms
v
32.0ms
(*.f32 sinTheta_i sinTheta_O)
Results
AccuracySegmentsBranch
98.9%1(*.f32 cosTheta_i cosTheta_O)
98.9%1(*.f32 sinTheta_i sinTheta_O)
98.9%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.9%1cosTheta_i
98.9%1cosTheta_O
98.9%1sinTheta_i
98.9%1sinTheta_O
98.9%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes186.0ms (2.9%)

Memory
21.3MiB live, 148.4MiB allocated; 72ms collecting garbage
Counts
57 → 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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))))
#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_i v) cosTheta_O)))
#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_i) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 #s(literal 1/3 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_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(approx (+ (* (* v v) 1/3) 1/60) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(approx (* (sinh (/ 1 v)) (+ v v)) (+.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 (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 #s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) (/.f32 #s(literal -1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v 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 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (-.f32 #s(literal 1/60 binary32) (*.f32 #s(literal -1/3 binary32) (*.f32 v v))) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 #s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (/.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (*.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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (neg.f32 (*.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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/60 binary32) #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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (fma.f32 (*.f32 v v) #s(literal 2 binary32) #s(literal 1/3 binary32)) (*.f32 v v) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v 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 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 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 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) 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 cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 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 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))) v)))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 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_O (/.f32 cosTheta_i (*.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 #s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal 1/2 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 (*.f32 v v)) (/.f32 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 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_i (*.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(literal 1/2 binary32)) v)))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(literal 1/2 binary32)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#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 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)))
(/.f32 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
Outputs
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
Calls

8 calls:

63.0ms
cosTheta_i
29.0ms
sinTheta_i
26.0ms
v
15.0ms
sinTheta_O
14.0ms
cosTheta_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)

regimes240.0ms (3.8%)

Memory
10.7MiB live, 124.9MiB allocated; 86ms 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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))))
#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_i v) cosTheta_O)))
#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_i) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 #s(literal 1/3 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_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(approx (+ (* (* v v) 1/3) 1/60) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(approx (* (sinh (/ 1 v)) (+ v v)) (+.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 (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 #s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) (/.f32 #s(literal -1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v 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 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (-.f32 #s(literal 1/60 binary32) (*.f32 #s(literal -1/3 binary32) (*.f32 v v))) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 #s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (/.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (*.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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (neg.f32 (*.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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/60 binary32) #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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (fma.f32 (*.f32 v v) #s(literal 2 binary32) #s(literal 1/3 binary32)) (*.f32 v v) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v 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 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 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 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) 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 cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 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 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))) v)))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 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_O (/.f32 cosTheta_i (*.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 #s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal 1/2 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 (*.f32 v v)) (/.f32 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 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_i (*.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(literal 1/2 binary32)) v)))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(literal 1/2 binary32)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#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 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)))
(/.f32 (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O v)) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
Outputs
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal 1/2 binary32)) v)))
Calls

8 calls:

78.0ms
sinTheta_i
50.0ms
v
44.0ms
(*.f32 sinTheta_i sinTheta_O)
14.0ms
sinTheta_O
14.0ms
cosTheta_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)

regimes219.0ms (3.4%)

Memory
15.8MiB live, 201.8MiB allocated; 74ms collecting garbage
Counts
54 → 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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))))
#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_i v) cosTheta_O)))
#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_i) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 #s(literal 1/3 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_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(approx (+ (* (* v v) 1/3) 1/60) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(approx (* (sinh (/ 1 v)) (+ v v)) (+.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 (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 #s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) (/.f32 #s(literal -1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v 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 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (-.f32 #s(literal 1/60 binary32) (*.f32 #s(literal -1/3 binary32) (*.f32 v v))) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 #s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (/.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (*.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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (neg.f32 (*.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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/60 binary32) #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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (fma.f32 (*.f32 v v) #s(literal 2 binary32) #s(literal 1/3 binary32)) (*.f32 v v) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v 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 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 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 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) 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 cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 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 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))) v)))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 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_O (/.f32 cosTheta_i (*.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 #s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal 1/2 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 (*.f32 v v)) (/.f32 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 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_i (*.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(literal 1/2 binary32)) v)))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(literal 1/2 binary32)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#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 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
Outputs
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 (fma.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v) #s(literal -1/2 binary32) #s(literal 1/2 binary32)) v)))
Calls

8 calls:

96.0ms
sinTheta_O
27.0ms
cosTheta_O
26.0ms
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
14.0ms
sinTheta_i
14.0ms
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)

regimes230.0ms (3.6%)

Memory
10.5MiB live, 300.7MiB allocated; 141ms collecting garbage
Counts
53 → 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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))))
#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_i v) cosTheta_O)))
#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_i) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 #s(literal 1/3 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_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(approx (+ (* (* v v) 1/3) 1/60) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(approx (* (sinh (/ 1 v)) (+ v v)) (+.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 (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 #s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) (/.f32 #s(literal -1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v 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 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (-.f32 #s(literal 1/60 binary32) (*.f32 #s(literal -1/3 binary32) (*.f32 v v))) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 #s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (/.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (*.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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (neg.f32 (*.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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/60 binary32) #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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (fma.f32 (*.f32 v v) #s(literal 2 binary32) #s(literal 1/3 binary32)) (*.f32 v v) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v 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 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 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 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) 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 cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 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 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))) v)))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 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_O (/.f32 cosTheta_i (*.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 #s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal 1/2 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 (*.f32 v v)) (/.f32 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 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 cosTheta_i (*.f32 v v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (*.f32 v v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(literal 1/2 binary32) v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(approx (+ (* -1/2 (/ (* sinTheta_i sinTheta_O) v)) 1/2) #s(literal 1/2 binary32)) v)))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(approx (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v)) (/.f32 #s(approx (+ (* (/ (* sinTheta_i sinTheta_O) v) -1/2) 1/2) #s(literal 1/2 binary32)) v))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#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 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 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 (*.f32 v v)) (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))))
Calls

8 calls:

114.0ms
cosTheta_i
27.0ms
v
19.0ms
(*.f32 sinTheta_i sinTheta_O)
16.0ms
sinTheta_O
15.0ms
cosTheta_O
Results
AccuracySegmentsBranch
98.6%1(*.f32 cosTheta_i cosTheta_O)
98.6%1(*.f32 sinTheta_i sinTheta_O)
98.6%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.6%1cosTheta_i
98.6%1cosTheta_O
98.6%1sinTheta_i
98.6%1sinTheta_O
98.6%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes129.0ms (2%)

Memory
13.4MiB live, 183.8MiB allocated; 74ms collecting garbage
Counts
43 → 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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))))
#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_i v) cosTheta_O)))
#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_i) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 #s(literal 1/3 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_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(approx (+ (* (* v v) 1/3) 1/60) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(approx (* (sinh (/ 1 v)) (+ v v)) (+.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 (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 #s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) (/.f32 #s(literal -1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v 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 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (-.f32 #s(literal 1/60 binary32) (*.f32 #s(literal -1/3 binary32) (*.f32 v v))) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 #s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (/.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (*.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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (neg.f32 (*.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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/60 binary32) #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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (fma.f32 (*.f32 v v) #s(literal 2 binary32) #s(literal 1/3 binary32)) (*.f32 v v) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v 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 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 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 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) 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 cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 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 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v))) v)))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 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_O (/.f32 cosTheta_i (*.f32 v v))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(/.f32 #s(approx (* (/ (* cosTheta_i cosTheta_O) v) (/ (exp (/ (* sinTheta_O sinTheta_i) (neg v))) (* 2 v))) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v))) #s(literal 1/2 binary32))) (sinh.f32 (/.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 (/.f32 cosTheta_i (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))) cosTheta_O))
Calls

8 calls:

31.0ms
cosTheta_i
19.0ms
sinTheta_i
17.0ms
v
17.0ms
(*.f32 cosTheta_i cosTheta_O)
11.0ms
sinTheta_O
Results
AccuracySegmentsBranch
98.5%1(*.f32 sinTheta_i sinTheta_O)
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%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)

regimes115.0ms (1.8%)

Memory
-1.2MiB live, 179.3MiB allocated; 46ms collecting garbage
Counts
37 → 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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))))
#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_i v) cosTheta_O)))
#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_i) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 #s(literal 1/3 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_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(approx (+ (* (* v v) 1/3) 1/60) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(approx (* (sinh (/ 1 v)) (+ v v)) (+.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 (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 #s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) (/.f32 #s(literal -1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v 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 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (-.f32 #s(literal 1/60 binary32) (*.f32 #s(literal -1/3 binary32) (*.f32 v v))) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 #s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (/.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (*.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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (neg.f32 (*.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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/60 binary32) #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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (fma.f32 (*.f32 v v) #s(literal 2 binary32) #s(literal 1/3 binary32)) (*.f32 v v) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v 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 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
Outputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 v v)) v))))
Calls

8 calls:

31.0ms
cosTheta_i
18.0ms
sinTheta_i
18.0ms
v
10.0ms
cosTheta_O
10.0ms
sinTheta_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)

regimes123.0ms (1.9%)

Memory
26.8MiB live, 160.2MiB allocated; 34ms collecting garbage
Counts
36 → 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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))))
#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_i v) cosTheta_O)))
#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_i) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 #s(literal 1/3 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_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(approx (+ (* (* v v) 1/3) 1/60) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(approx (* (sinh (/ 1 v)) (+ v v)) (+.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 (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 #s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) (/.f32 #s(literal -1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v 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 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (-.f32 #s(literal 1/60 binary32) (*.f32 #s(literal -1/3 binary32) (*.f32 v v))) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 #s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (/.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (*.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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (neg.f32 (*.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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/60 binary32) #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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (fma.f32 (*.f32 v v) #s(literal 2 binary32) #s(literal 1/3 binary32)) (*.f32 v v) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (+.f32 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) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (+.f32 v v) v))))
Calls

8 calls:

25.0ms
(*.f32 sinTheta_i sinTheta_O)
23.0ms
sinTheta_O
20.0ms
cosTheta_O
18.0ms
sinTheta_i
10.0ms
v
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)

regimes98.0ms (1.5%)

Memory
39.4MiB live, 156.3MiB allocated; 39ms collecting garbage
Counts
34 → 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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))))
#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_i v) cosTheta_O)))
#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_i) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 #s(literal 1/3 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_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(approx (+ (* (* v v) 1/3) 1/60) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(approx (* (sinh (/ 1 v)) (+ v v)) (+.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 (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 #s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) (/.f32 #s(literal -1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v 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 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (-.f32 #s(literal 1/60 binary32) (*.f32 #s(literal -1/3 binary32) (*.f32 v v))) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 #s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (/.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (*.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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (neg.f32 (*.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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/60 binary32) v) v) #s(literal 1/3 binary32)) (*.f32 v v))) #s(literal 2 binary32)) v)))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 v v)) #s(literal 1/60 binary32) #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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (fma.f32 (*.f32 v v) #s(literal 2 binary32) #s(literal 1/3 binary32)) (*.f32 v v) #s(literal 1/60 binary32)) (*.f32 (*.f32 v v) v))))))
Outputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (neg.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 binary32)) (neg.f32 (*.f32 v v))) #s(literal 2 binary32))) v)))))
Calls

8 calls:

23.0ms
(/.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))
16.0ms
sinTheta_i
15.0ms
v
9.0ms
cosTheta_i
9.0ms
sinTheta_O
Results
AccuracySegmentsBranch
73.9%1(*.f32 cosTheta_i cosTheta_O)
73.9%1(*.f32 sinTheta_i sinTheta_O)
73.9%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
73.9%1cosTheta_i
73.9%1cosTheta_O
73.9%1sinTheta_i
73.9%1sinTheta_O
73.9%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes136.0ms (2.1%)

Memory
-103.8MiB live, 146.2MiB allocated; 124ms collecting garbage
Counts
27 → 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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))))
#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_i v) cosTheta_O)))
#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_i) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 #s(literal 1/3 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_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(approx (+ (* (* v v) 1/3) 1/60) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(approx (* (sinh (/ 1 v)) (+ v v)) (+.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 (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 #s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) (/.f32 #s(literal -1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v 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 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (-.f32 #s(literal 1/60 binary32) (*.f32 #s(literal -1/3 binary32) (*.f32 v v))) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 #s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (/.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 v 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 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 cosTheta_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))) (*.f32 v v)))
Calls

8 calls:

16.0ms
(*.f32 sinTheta_i sinTheta_O)
16.0ms
cosTheta_O
8.0ms
v
8.0ms
sinTheta_i
7.0ms
cosTheta_i
Results
AccuracySegmentsBranch
68.1%1cosTheta_i
68.1%1sinTheta_O
68.1%1(*.f32 cosTheta_i cosTheta_O)
68.1%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
68.1%1cosTheta_O
68.1%1sinTheta_i
68.1%1(*.f32 sinTheta_i sinTheta_O)
68.1%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes98.0ms (1.5%)

Memory
-33.3MiB live, 57.0MiB allocated; 85ms collecting garbage
Counts
25 → 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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))))
#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_i v) cosTheta_O)))
#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_i) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 #s(literal 1/3 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_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(approx (+ (* (* v v) 1/3) 1/60) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(approx (* (sinh (/ 1 v)) (+ v v)) (+.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 (* (* (sinh (/ 1 v)) 2) (* v 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 (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal 1/3 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 (*.f32 #s(approx (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) (/.f32 #s(literal -1/60 binary32) (*.f32 (*.f32 v v) (*.f32 v 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 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 v (*.f32 v #s(literal 1/3 binary32)) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (-.f32 #s(literal 1/60 binary32) (*.f32 #s(literal -1/3 binary32) (*.f32 v v))) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 (/.f32 (fma.f32 (*.f32 v v) #s(literal 1/3 binary32) #s(literal 1/60 binary32)) (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (neg.f32 #s(approx (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v) (/.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) (*.f32 v v)) #s(literal 1/60 binary32)) (*.f32 (*.f32 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 (* (* (sinh (/ 1 v)) 2) (* v v)) (*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v))))
Calls

8 calls:

48.0ms
v
7.0ms
sinTheta_O
7.0ms
sinTheta_i
7.0ms
cosTheta_i
7.0ms
cosTheta_O
Results
AccuracySegmentsBranch
67.9%1v
67.9%1(*.f32 cosTheta_i cosTheta_O)
67.9%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
67.9%1cosTheta_O
67.9%1sinTheta_i
67.9%1sinTheta_O
67.9%1cosTheta_i
67.9%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes38.0ms (0.6%)

Memory
-6.7MiB live, 39.8MiB allocated; 5ms collecting garbage
Counts
15 → 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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))))
#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_i v) cosTheta_O)))
#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_i) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 #s(literal 1/3 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_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(approx (+ (* (* v v) 1/3) 1/60) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(approx (* (sinh (/ 1 v)) (+ v v)) (+.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 cosTheta_O (/.f32 cosTheta_i (*.f32 #s(approx (* (sinh (/ 1 v)) (+ v v)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))) v))))
Calls

8 calls:

4.0ms
cosTheta_i
4.0ms
sinTheta_i
4.0ms
v
4.0ms
cosTheta_O
4.0ms
sinTheta_O
Results
AccuracySegmentsBranch
67.9%1sinTheta_i
67.9%1(*.f32 cosTheta_i cosTheta_O)
67.9%1(*.f32 sinTheta_i sinTheta_O)
67.9%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
67.9%1cosTheta_i
67.9%1sinTheta_O
67.9%1cosTheta_O
67.9%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes33.0ms (0.5%)

Memory
37.6MiB live, 37.6MiB allocated; 0ms 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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))))
#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_i v) cosTheta_O)))
#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_i) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 #s(literal 1/3 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_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (*.f32 v v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(literal 1/60 binary32) (*.f32 (*.f32 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) (/.f32 #s(approx (+ (* (* v v) 1/3) 1/60) #s(literal 1/60 binary32)) (*.f32 (*.f32 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_O cosTheta_i) (*.f32 #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 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_i cosTheta_O) #s(approx (* (sinh (/ 1 v)) 2) (/.f32 #s(literal 2 binary32) v))) (*.f32 v v)))
Outputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 #s(approx (/ (* cosTheta_i cosTheta_O) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 (*.f32 v cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (*.f32 v v)))
Calls

8 calls:

4.0ms
v
4.0ms
cosTheta_i
4.0ms
cosTheta_O
4.0ms
sinTheta_O
4.0ms
sinTheta_i
Results
AccuracySegmentsBranch
62.7%1sinTheta_i
62.7%1v
62.7%1cosTheta_i
62.7%1sinTheta_O
62.7%1(*.f32 cosTheta_i cosTheta_O)
62.7%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))
62.7%1cosTheta_O
62.7%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes27.0ms (0.4%)

Memory
-13.6MiB live, 29.6MiB allocated; 5ms collecting garbage
Counts
9 → 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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))))
#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_i v) cosTheta_O)))
#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_i) (/.f32 cosTheta_O v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
(/.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (sinh (/ 1 v)) 2)) (*.f32 (*.f32 cosTheta_i cosTheta_O) #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 cosTheta_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) #s(approx (neg (* (- (neg (/ (+ (/ 1/60 (* v v)) 1/3) (* v v))) 2) v)) #s(approx (/ (+ (* (* v v) 1/3) 1/60) (* (* v v) v)) (/.f32 #s(literal 1/3 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_i cosTheta_O) #s(literal 1/2 binary32)) v))
Calls

8 calls:

6.0ms
(*.f32 sinTheta_i sinTheta_O)
3.0ms
v
3.0ms
cosTheta_i
3.0ms
sinTheta_i
3.0ms
sinTheta_O
Results
AccuracySegmentsBranch
62.5%1cosTheta_i
62.5%1cosTheta_O
62.5%1(*.f32 cosTheta_i cosTheta_O)
62.5%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))
62.5%1v
62.5%1(*.f32 sinTheta_i sinTheta_O)
62.5%1sinTheta_O
62.5%1sinTheta_i
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes18.0ms (0.3%)

Memory
22.6MiB live, 22.6MiB allocated; 0ms collecting garbage
Counts
6 → 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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))))
#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_i v) cosTheta_O)))
#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_i) (/.f32 cosTheta_O v)))
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_O
2.0ms
cosTheta_i
2.0ms
sinTheta_i
2.0ms
v
2.0ms
cosTheta_O
Results
AccuracySegmentsBranch
62.5%1cosTheta_i
62.5%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))
62.5%1cosTheta_O
62.5%1sinTheta_O
62.5%1(*.f32 cosTheta_i cosTheta_O)
62.5%1v
62.5%1(*.f32 sinTheta_i sinTheta_O)
62.5%1sinTheta_i
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes18.0ms (0.3%)

Memory
-21.5MiB live, 21.7MiB allocated; 6ms 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v 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_O cosTheta_i) #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v 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))))
#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_i v) cosTheta_O)))
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 (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v v))))
Calls

8 calls:

6.0ms
v
2.0ms
sinTheta_i
2.0ms
sinTheta_O
2.0ms
cosTheta_i
2.0ms
cosTheta_O
Results
AccuracySegmentsBranch
62.5%1cosTheta_i
62.5%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))
62.5%1cosTheta_O
62.5%1sinTheta_O
62.5%1(*.f32 sinTheta_i sinTheta_O)
62.5%1(*.f32 cosTheta_i cosTheta_O)
62.5%1v
62.5%1sinTheta_i
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes8.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 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 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v v)))))
Outputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 cosTheta_O (/.f32 cosTheta_i #s(approx (* (* (sinh (/ 1 v)) 2) (* v v)) (+.f32 v v)))))
Calls

8 calls:

1.0ms
sinTheta_O
1.0ms
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
1.0ms
v
1.0ms
cosTheta_O
1.0ms
sinTheta_i
Results
AccuracySegmentsBranch
62.5%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))
62.5%1cosTheta_i
62.5%1cosTheta_O
62.5%1sinTheta_O
62.5%1v
62.5%1(*.f32 cosTheta_i cosTheta_O)
62.5%1(*.f32 sinTheta_i sinTheta_O)
62.5%1sinTheta_i
Compiler

Compiled 33 to 56 computations (-69.7% saved)

derivations432.0ms (6.8%)

Memory
21.8MiB live, 207.6MiB allocated; 27ms collecting garbage
Stop Event
fuel
Compiler

Compiled 661 to 122 computations (81.5% saved)

preprocess473.0ms (7.4%)

Memory
-34.5MiB live, 484.9MiB allocated; 163ms collecting garbage
Remove

(sort sinTheta_i sinTheta_O)

(negabs cosTheta_i)

Compiler

Compiled 6 905 to 4 569 computations (33.8% saved)

end0.0ms (0%)

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

Profiling

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