HairBSDF, Mp, upper

Time bar (total: 9.1s)

start0.0ms (0%)

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

analyze566.0ms (6.2%)

Memory
-11.1MiB live, 629.3MiB allocated; 61ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
0%0%0%100%0%0%0%7
0%0%0%100%0%0%0%8
0%0%0%100%0%0%0%9
0%0%0%100%0%0%0%10
50%0%0%100%0%0%0%11
50%0%0%100%0%0%0%12
Compiler

Compiled 62 to 42 computations (32.3% saved)

sample2.3s (25%)

Memory
132.6MiB live, 2 409.5MiB allocated; 674ms collecting garbage
Samples
1.7s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-mult: 299.0ms (21.9% of total)
ival-div: 278.0ms (20.3% of total)
const: 273.0ms (20% of total)
ival-<=: 228.0ms (16.7% of total)
ival-sinh: 81.0ms (5.9% of total)
ival-exp: 77.0ms (5.6% of total)
ival-and: 51.0ms (3.7% of total)
ival-neg: 41.0ms (3% of total)
ival-<: 18.0ms (1.3% of total)
exact: 14.0ms (1% of total)
adjust: 3.0ms (0.2% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain196.0ms (2.2%)

Memory
-16.3MiB live, 252.1MiB allocated; 49ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f32 #s(literal 1 binary32) v)
00-0-#s(literal 2 binary32)
00-0-(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
00-0-sinTheta_i
00-0-cosTheta_i
00-0-v
00-0-(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
00-0-sinTheta_O
00-0-(*.f32 sinTheta_i sinTheta_O)
00-0-(*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
00-0-#s(literal 1 binary32)
00-0-(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
00-0-(*.f32 cosTheta_i cosTheta_O)
00-0-(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
00-0-(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
00-0-cosTheta_O
00-0-(sinh.f32 (/.f32 #s(literal 1 binary32) v))
00-0-(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
01(8.400639505935411e-20 -3.9200135420884806e-27 -2.3838079405390233e-13 8.451320862066535e-17 0.14817513525485992)0-(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f32(/.f32 (*.f32 cosTheta_i cosTheta_O) v)u/n10
(*.f32 cosTheta_i cosTheta_O)underflow82
Confusion
Predicted +Predicted -
+00
-1255
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-10255
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
76.0ms512×0valid
Compiler

Compiled 210 to 61 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 19.0ms (38.1% of total)
ival-div: 18.0ms (36.1% of total)
ival-sinh: 5.0ms (10% of total)
ival-exp: 4.0ms (8% of total)
ival-neg: 2.0ms (4% of total)
exact: 1.0ms (2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess174.0ms (1.9%)

Memory
20.3MiB live, 153.3MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

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

(negabs cosTheta_O)

(negabs cosTheta_i)

(sort cosTheta_i cosTheta_O)

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 22 to 19 computations (13.6% saved)

eval0.0ms (0%)

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

Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify150.0ms (1.6%)

Memory
-27.5MiB live, 165.5MiB allocated; 21ms collecting garbage
Localize:

Found 4 expressions of interest:

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

Useful iterations: 2 (0.0ms)

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

localize82.0ms (0.9%)

Memory
2.8MiB live, 56.9MiB allocated; 6ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.2688738402313059
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy0.27734375
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy0.2796351195366319
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
accuracy0.8099292735686227
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Samples
44.0ms256×0valid
Compiler

Compiled 94 to 21 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 20.0ms (60.6% of total)
ival-mult: 7.0ms (21.2% of total)
ival-exp: 2.0ms (6.1% of total)
ival-sinh: 2.0ms (6.1% of total)
ival-neg: 1.0ms (3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series88.0ms (1%)

Memory
-20.5MiB live, 70.1MiB allocated; 10ms collecting garbage
Counts
8 → 52
Calls
Call 1
Inputs
(*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v)))
(neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 (*.f32 sinTheta_i sinTheta_O) v)
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 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))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 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))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* 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)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -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))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
Calls

15 calls:

TimeVariablePointExpression
30.0ms
cosTheta_O
@-inf
((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v))
8.0ms
v
@-inf
((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v))
6.0ms
sinTheta_O
@0
((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v))
6.0ms
cosTheta_i
@0
((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v))
5.0ms
cosTheta_O
@0
((* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (neg (/ (* sinTheta_i sinTheta_O) v)) (sinh (/ 1 v)) (/ (* sinTheta_i sinTheta_O) v) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v))

simplify200.0ms (2.2%)

Memory
20.2MiB live, 155.3MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03341482
112101416
253991331
085911278
Stop Event
iter limit
node limit
Counts
52 → 52
Calls
Call 1
Inputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 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))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(/ (* sinTheta_O sinTheta_i) v)
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 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))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* 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)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -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))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v))) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_O cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_i))
(+ (* 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))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i sinTheta_O) v)) (/.f32 cosTheta_O v) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_O sinTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_i)) sinTheta_i))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(/.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32))) (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_i sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 4 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_i (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* 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)))))))
(+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32))) (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 5 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(fma.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_O) sinTheta_O (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) #s(literal -1/6 binary32)) v)) (*.f32 v v)) sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #s(literal 1 binary32))
(* -1 (/ (* sinTheta_O sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(/ (* sinTheta_O sinTheta_i) v)
(/.f32 (*.f32 sinTheta_O sinTheta_i) v)
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O))
(+ (* 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))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 cosTheta_i sinTheta_i) v)) (/.f32 cosTheta_O v) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (*.f32 (*.f32 sinTheta_i sinTheta_i) (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_O)) sinTheta_O))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 4 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) sinTheta_O (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* 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)))))))
(+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32))) (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) (/.f32 cosTheta_O (pow.f32 v #s(literal 4 binary32)))) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/6 binary32)) (pow.f32 v #s(literal 5 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 sinTheta_O sinTheta_O)))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #s(literal 1 binary32))
(+ 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))))))))
(fma.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_i) sinTheta_i (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) #s(literal -1/6 binary32)) v)) (*.f32 v v)) sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))) v)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (*.f32 cosTheta_i (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32))) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))) v))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i))) v) (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)))) (*.f32 v v))))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #s(literal 1 binary32))
(+ 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))))))
(+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O (*.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))) (/.f32 #s(literal -1/5040 binary32) (pow.f32 v #s(literal 6 binary32)))) v)
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(-.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal -1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal -1/3 binary32) (*.f32 v v))) (/.f32 #s(literal -1/2520 binary32) (pow.f32 v #s(literal 6 binary32))))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(/.f32 (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v)) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))) v)) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(*.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v))) v)) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) sinTheta_i (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) #s(literal 1/2 binary32)) v)) v) sinTheta_O #s(literal 1 binary32))
(+ 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)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (/.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) v) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32))) (neg.f32 v))) v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) v) v) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32))) (neg.f32 v))

rewrite51.0ms (0.6%)

Memory
-9.7MiB live, 36.6MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval14.0ms (0.2%)

Memory
17.4MiB live, 17.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 4 439 to 707 computations (84.1% saved)

prune14.0ms (0.2%)

Memory
18.5MiB live, 18.5MiB allocated; 0ms collecting garbage
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New11518133
Fresh000
Picked101
Done000
Total11618134
Accuracy
99.4%
Counts
134 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.2%
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
98.1%
(/.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) v)
98.5%
(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.4%
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
64.1%
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
98.5%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.5%
(/.f32 (*.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))
98.6%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.5%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) v)))
98.5%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.4%
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
57.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
57.1%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
98.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
58.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) 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 cosTheta_O (*.f32 v v))) (/.f32 (pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
58.1%
#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 1 192 to 914 computations (23.3% saved)

simplify147.0ms (1.6%)

Memory
-6.3MiB live, 140.4MiB allocated; 19ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 cosTheta_O cosTheta_i)
cost-diff0
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cost-diff0
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v)
cost-diff1
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
cost-diff0
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
cost-diff0
(*.f32 cosTheta_O cosTheta_i)
cost-diff0
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
cost-diff1
(*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))
cost-diff0
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
cost-diff0
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
cost-diff0
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
cost-diff0
(/.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))
cost-diff0
(*.f32 cosTheta_O cosTheta_i)
cost-diff0
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
cost-diff0
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
cost-diff0
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
cost-diff0
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O)))
cost-diff0
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
cost-diff2
(fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v))
cost-diff2
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062591
0103591
1249591
2919576
35842576
08313567
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O))) (*.f32 (*.f32 (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 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O)))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O))
(/.f32 cosTheta_i v)
cosTheta_i
v
cosTheta_O
(*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O)
(/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v))
(fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v))
(neg.f32 cosTheta_i)
(*.f32 sinTheta_i cosTheta_O)
sinTheta_i
(/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))
(*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)
(*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i)
(*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)
(*.f32 sinTheta_i sinTheta_i)
sinTheta_O
#s(literal 1/2 binary32)
(*.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)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
#s(literal 1/2 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(/.f32 (*.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))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 2 binary32)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(neg.f32 sinTheta_i)
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
v
(*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(neg.f32 sinTheta_i)
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
Outputs
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O))) (*.f32 (*.f32 (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 (*.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) sinTheta_i (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) cosTheta_i) v))) (/.f32 sinTheta_O v) (*.f32 cosTheta_O cosTheta_i)) v)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) sinTheta_i (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) cosTheta_i) v))) (/.f32 sinTheta_O v) (*.f32 cosTheta_O cosTheta_i)) v))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O))
(/.f32 (fma.f32 (*.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) sinTheta_i (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) cosTheta_i) v))) (/.f32 sinTheta_O v) (*.f32 cosTheta_O cosTheta_i)) v)
(/.f32 cosTheta_i v)
cosTheta_i
v
cosTheta_O
(*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O)
(*.f32 (/.f32 (/.f32 sinTheta_O v) v) (*.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) sinTheta_i (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) cosTheta_i) v))))
(/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v))
(/.f32 (*.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) sinTheta_i (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) cosTheta_i) v))) (*.f32 v v))
(fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v))
(*.f32 cosTheta_O (fma.f32 (neg.f32 cosTheta_i) sinTheta_i (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) cosTheta_i) v)))
(neg.f32 cosTheta_i)
(*.f32 sinTheta_i cosTheta_O)
(*.f32 cosTheta_O sinTheta_i)
sinTheta_i
(/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)) v)
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O))
(*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)
(*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i)
(*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)
(*.f32 sinTheta_i sinTheta_i)
sinTheta_O
#s(literal 1/2 binary32)
(*.f32 v v)
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #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) (/.f32 cosTheta_i v)) cosTheta_O))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)) cosTheta_O)
#s(literal 1/2 binary32)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
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))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) v)) (/.f32 (/.f32 cosTheta_O v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) cosTheta_i)
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
v
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 2 binary32)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (*.f32 (/.f32 cosTheta_i (*.f32 (*.f32 #s(literal 2 binary32) v) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(*.f32 (/.f32 sinTheta_i (neg.f32 v)) sinTheta_O)
(neg.f32 sinTheta_i)
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
v
(*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (*.f32 (/.f32 cosTheta_i (*.f32 (*.f32 #s(literal 2 binary32) v) v)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (pow.f32 (exp.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v)
(/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_O
cosTheta_i
v
(/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(pow.f32 (exp.f32 sinTheta_O) (/.f32 (neg.f32 sinTheta_i) v))
(*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))
(*.f32 (/.f32 sinTheta_i (neg.f32 v)) sinTheta_O)
(neg.f32 sinTheta_i)
sinTheta_i
(/.f32 sinTheta_O v)
sinTheta_O
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)

localize176.0ms (1.9%)

Memory
-14.9MiB live, 226.8MiB allocated; 20ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.265625
(/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy0.2688738402313059
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy0.29783883046286386
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v)
accuracy0.8099292735686227
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy0.209316259768442
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy0.27734375
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy0.29296875
(*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy0.8099292735686227
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy0.22722626953688402
(/.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))
accuracy0.2688738402313059
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy0.27734375
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy0.8099292735686227
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy0.0
(*.f32 cosTheta_O cosTheta_i)
accuracy0.046875
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
accuracy0.2688738402313059
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
accuracy13.401809299217447
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
accuracy0.22722626953688402
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
accuracy0.25517014138884364
(/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v))
accuracy0.27734375
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy0.8099292735686227
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Samples
137.0ms256×0valid
Compiler

Compiled 522 to 54 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 64.0ms (64.8% of total)
ival-div: 18.0ms (18.2% of total)
ival-add: 7.0ms (7.1% of total)
ival-exp: 4.0ms (4% of total)
ival-neg: 3.0ms (3% of total)
ival-sinh: 3.0ms (3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series124.0ms (1.4%)

Memory
15.9MiB live, 157.3MiB allocated; 13ms collecting garbage
Counts
23 → 123
Calls
Call 1
Inputs
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O))
(fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) 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)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O))) (*.f32 (*.f32 (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 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
(/.f32 (*.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))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v))
(*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
Outputs
(* cosTheta_i (+ (/ cosTheta_O v) (/ (* sinTheta_O (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))))
(* cosTheta_i (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(/ (* cosTheta_i (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))) (pow v 2)))))
(* -1 (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))))
(* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))) (pow v 2)))
(* cosTheta_O (+ (/ cosTheta_i v) (/ (* sinTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))))
(* cosTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v))))
(/ (* cosTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))) (pow v 2)))))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))))
(* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))) (pow v 2)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (* cosTheta_O (* cosTheta_i sinTheta_i)))
(* sinTheta_i (+ (* -1 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 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))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3)))))
(/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 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))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))))))))
(+ (* -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))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2))))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 3))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))) (pow v 3))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) (pow v 3))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ (+ (* -1 (/ (* 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)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(+ (* -1 (/ (* 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)))
(+ (* -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))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v))) (pow v 2))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
(* 1/2 v)
(* v (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))
(* v (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(* v (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -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))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (* v (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2)))
(* -1 (* v (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2)))
Calls

15 calls:

TimeVariablePointExpression
22.0ms
sinTheta_O
@-inf
((+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* v (* (* 2 v) (sinh (/ 1 v))))) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (/ (/ (* cosTheta_O cosTheta_i) v) v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v))))) (/ (/ (* cosTheta_O cosTheta_i) v) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) (* v (* (* 2 v) (sinh (/ 1 v)))) (* (* 2 v) (sinh (/ 1 v))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))))
15.0ms
cosTheta_i
@0
((+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* v (* (* 2 v) (sinh (/ 1 v))))) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (/ (/ (* cosTheta_O cosTheta_i) v) v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v))))) (/ (/ (* cosTheta_O cosTheta_i) v) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) (* v (* (* 2 v) (sinh (/ 1 v)))) (* (* 2 v) (sinh (/ 1 v))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))))
11.0ms
cosTheta_O
@-inf
((+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* v (* (* 2 v) (sinh (/ 1 v))))) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (/ (/ (* cosTheta_O cosTheta_i) v) v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v))))) (/ (/ (* cosTheta_O cosTheta_i) v) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) (* v (* (* 2 v) (sinh (/ 1 v)))) (* (* 2 v) (sinh (/ 1 v))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))))
10.0ms
cosTheta_i
@inf
((+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* v (* (* 2 v) (sinh (/ 1 v))))) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (/ (/ (* cosTheta_O cosTheta_i) v) v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v))))) (/ (/ (* cosTheta_O cosTheta_i) v) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) (* v (* (* 2 v) (sinh (/ 1 v)))) (* (* 2 v) (sinh (/ 1 v))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))))
8.0ms
cosTheta_i
@-inf
((+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (/ (* cosTheta_O cosTheta_i) v)) (/ (* cosTheta_O cosTheta_i) v) (* cosTheta_O cosTheta_i) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* v (* (* 2 v) (sinh (/ 1 v))))) (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* (/ (/ (* cosTheta_O cosTheta_i) v) v) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v))))) (/ (/ (* cosTheta_O cosTheta_i) v) v) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) (* v (* (* 2 v) (sinh (/ 1 v)))) (* (* 2 v) (sinh (/ 1 v))) (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))))

simplify259.0ms (2.8%)

Memory
-74.1MiB live, 191.9MiB allocated; 75ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06283353
123963271
086783123
Stop Event
iter limit
node limit
Counts
123 → 123
Calls
Call 1
Inputs
(* cosTheta_i (+ (/ cosTheta_O v) (/ (* sinTheta_O (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))))
(* cosTheta_i (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(/ (* cosTheta_i (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))) (pow v 2)))))
(* -1 (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))))
(* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))) (pow v 2)))
(* cosTheta_O (+ (/ cosTheta_i v) (/ (* sinTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))))
(* cosTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v))))
(/ (* cosTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))) (pow v 2)))))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))))
(* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))) (pow v 2)))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(* -1 (* cosTheta_O (* cosTheta_i sinTheta_i)))
(* sinTheta_i (+ (* -1 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 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))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3)))))
(/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3)))))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* 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))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))))))))
(+ (* -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))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O))))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2))))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 3))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))) (pow v 3))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) (pow v 3))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ (+ (* -1 (/ (* 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)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(+ (* -1 (/ (* 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)))
(+ (* -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))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v))) (pow v 2))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
(* 1/2 v)
(* v (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))
(* v (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(* v (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -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))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(* -1 (* v (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2)))
(* -1 (* v (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2)))
Outputs
(* cosTheta_i (+ (/ cosTheta_O v) (/ (* sinTheta_O (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))))
(*.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (*.f32 (neg.f32 cosTheta_O) sinTheta_i)) v) (/.f32 sinTheta_O v) (/.f32 cosTheta_O v)) cosTheta_i)
(* cosTheta_i (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (*.f32 (neg.f32 cosTheta_O) sinTheta_i)) cosTheta_i)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 cosTheta_O cosTheta_i)) v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) #s(literal 1/2 binary32))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (*.f32 cosTheta_O cosTheta_i))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(*.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v))
(/ (* cosTheta_i (+ (* -1 (* cosTheta_O sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))
(/.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (*.f32 (neg.f32 cosTheta_O) sinTheta_i)) cosTheta_i) (*.f32 v v))
(* -1 (* cosTheta_i (+ (* -1 (/ cosTheta_O v)) (/ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))) (pow v 2)))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 sinTheta_i cosTheta_O)) v) (/.f32 sinTheta_O v) (/.f32 (neg.f32 cosTheta_O) v)))
(* -1 (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 sinTheta_i cosTheta_O)))
(* -1 (/ (* cosTheta_i (+ (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))) (pow v 2)))
(/.f32 (*.f32 (neg.f32 cosTheta_i) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 sinTheta_i cosTheta_O))) (*.f32 v v))
(* cosTheta_O (+ (/ cosTheta_i v) (/ (* sinTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))))
(*.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (*.f32 (neg.f32 cosTheta_i) sinTheta_i)) v) (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)) cosTheta_O)
(* cosTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal -1/2 binary32) (*.f32 sinTheta_i cosTheta_i)))
(/ (* cosTheta_O (+ (* -1 (* cosTheta_i sinTheta_i)) (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)))) (pow v 2))
(*.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal -1/2 binary32) (*.f32 sinTheta_i cosTheta_i)) v))
(* -1 (* cosTheta_O (+ (* -1 (/ cosTheta_i v)) (/ (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))) (pow v 2)))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal -1/2 binary32) (*.f32 sinTheta_i cosTheta_i)) v) (/.f32 sinTheta_O v) (/.f32 (neg.f32 cosTheta_i) v)))
(* -1 (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal -1/2 binary32) (*.f32 sinTheta_i cosTheta_i)))
(* -1 (/ (* cosTheta_O (+ (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))) (pow v 2)))
(*.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal -1/2 binary32) (*.f32 sinTheta_i cosTheta_i)) v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (*.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)))) sinTheta_i (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(* -1 (* cosTheta_O (* cosTheta_i sinTheta_i)))
(*.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O))
(* sinTheta_i (+ (* -1 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 (neg.f32 cosTheta_i) cosTheta_O)) sinTheta_i)
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 sinTheta_O cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_i)) sinTheta_i))
(+ (* 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))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_i)) sinTheta_i (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_O) v) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))))) sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #s(literal 1 binary32))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v) (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O cosTheta_i) v))) sinTheta_i (*.f32 cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O cosTheta_i) v))) sinTheta_i (*.f32 cosTheta_O cosTheta_i))
(* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2)))
(*.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (*.f32 sinTheta_i cosTheta_i) v))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3)))))
(*.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i)
(/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 sinTheta_O (/.f32 (/.f32 (neg.f32 sinTheta_i) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (fma.f32 (/.f32 (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) v) (/.f32 sinTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (/.f32 (neg.f32 sinTheta_O) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 sinTheta_O v) #s(literal 3 binary32))) (/.f32 sinTheta_i (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (/.f32 (*.f32 (/.f32 sinTheta_O v) (/.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32))) sinTheta_i (/.f32 (/.f32 (neg.f32 sinTheta_O) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_i)) (*.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))
(*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_i)) (*.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)) (fma.f32 (/.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)) (/.f32 cosTheta_O v) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32))))) (*.f32 sinTheta_i sinTheta_i))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v))
(*.f32 (*.f32 cosTheta_O (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v)) #s(literal 1/2 binary32))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 sinTheta_O cosTheta_i) v) (*.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_i))) (*.f32 sinTheta_i sinTheta_i))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3)))
(/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3)))))
(*.f32 (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_i) (/.f32 cosTheta_i (*.f32 v v)) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) sinTheta_O) (pow.f32 v #s(literal 3 binary32)))) (*.f32 sinTheta_i sinTheta_i))
(/ (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_i) (/.f32 cosTheta_i v) (*.f32 (/.f32 (*.f32 sinTheta_O cosTheta_i) v) (/.f32 cosTheta_O v))) (neg.f32 sinTheta_i))) (*.f32 sinTheta_i sinTheta_i))
(+ (* 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))
(fma.f32 (fma.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (*.f32 sinTheta_i cosTheta_i) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v)))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal -1/2 binary32) (*.f32 sinTheta_i cosTheta_i)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 sinTheta_i cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O))
(+ (* 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))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_O)) sinTheta_O (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ 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))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v) (*.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_O) (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)))) sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_i cosTheta_i) v))) sinTheta_O (*.f32 cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) cosTheta_O) v) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_i cosTheta_i) v))) sinTheta_O (*.f32 cosTheta_O cosTheta_i))
(+ (* -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))))
(fma.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (*.f32 sinTheta_i cosTheta_i) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (fma.f32 (*.f32 sinTheta_O #s(literal 1/2 binary32)) (/.f32 (*.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 (neg.f32 sinTheta_i) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (/.f32 sinTheta_i v) (/.f32 sinTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 sinTheta_O (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O (/.f32 (/.f32 (neg.f32 sinTheta_i) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_O)) (*.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))
(*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_O)) (*.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)) (fma.f32 (/.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_O v) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32))))) (*.f32 sinTheta_O sinTheta_O))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) v) (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O))) sinTheta_O)
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_O)) (*.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O)
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_O) (/.f32 cosTheta_i v) (*.f32 (/.f32 (*.f32 sinTheta_i cosTheta_i) v) (/.f32 cosTheta_O v))) (neg.f32 sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) v)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) sinTheta_O))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) sinTheta_O)))
(* -1 (* sinTheta_O (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2))))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 (/.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) (/.f32 cosTheta_O (*.f32 v v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 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 3))
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i)) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 (*.f32 sinTheta_O v) sinTheta_i) cosTheta_i))) (pow.f32 v #s(literal 3 binary32)))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))) (pow v 3))
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i)) cosTheta_O (*.f32 (fma.f32 (*.f32 cosTheta_O v) cosTheta_i (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O))) v)) (pow.f32 v #s(literal 3 binary32)))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) v)
(/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) cosTheta_O) cosTheta_i (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 v cosTheta_i) sinTheta_i))) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) #s(literal 1/2 binary32))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))))) (pow v 3))
(/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) cosTheta_O) cosTheta_i (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 v cosTheta_i) sinTheta_i))) (pow.f32 v #s(literal 3 binary32)))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) v) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i)) cosTheta_O (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i)) cosTheta_O (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i)))) (pow.f32 v #s(literal 3 binary32))))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) v) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i)))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ 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))))))
(+.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O (*.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) #s(literal -1/6 binary32))) #s(literal 1 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)))
(fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) v) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i)))
(+ (* -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))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) v) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) v))) (pow v 2))
(*.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal -1/2 binary32) (*.f32 sinTheta_i cosTheta_i)) v))
(* 2 v)
(*.f32 #s(literal 2 binary32) v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v)
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(*.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
(*.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v)
(* 1/2 v)
(*.f32 #s(literal 1/2 binary32) v)
(* v (+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) v)
(* v (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(*.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) (*.f32 v v))) #s(literal 1/2 binary32)) v)
(* v (+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))))
(*.f32 (+.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/12 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/2 binary32)) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(/.f32 (fma.f32 (neg.f32 cosTheta_i) cosTheta_O (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) v) (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O))) v))) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 sinTheta_i cosTheta_O) sinTheta_O) cosTheta_i (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -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))
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 sinTheta_i cosTheta_O) sinTheta_O) cosTheta_i (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v))) v))) v)
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) v) #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (/.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) v) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32))) (neg.f32 v))) v))
(+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O)) (neg.f32 v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 (*.f32 sinTheta_i cosTheta_O) sinTheta_O) cosTheta_i (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (neg.f32 v))) (neg.f32 v)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32))) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/60 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(* -1 (* v (- (* 1/2 (/ (* sinTheta_O sinTheta_i) v)) 1/2)))
(*.f32 (neg.f32 v) (-.f32 (*.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)))
(* -1 (* v (- (* -1 (/ (+ (* -1/2 (* sinTheta_O sinTheta_i)) (* -1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)) 1/2)))
(*.f32 (neg.f32 v) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v) #s(literal 1/2 binary32)))
(* -1 (* v (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v)) (* 1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* -1/2 (* sinTheta_O sinTheta_i))) v)) 1/2)))
(*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) sinTheta_i) sinTheta_O (/.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/12 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i))) v)) (neg.f32 v))) (neg.f32 v)) #s(literal 1/2 binary32)))

rewrite93.0ms (1%)

Memory
-7.5MiB live, 85.2MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062380
0103380
1320380
01815380
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
23 → 416
Calls
Call 1
Inputs
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O))
(fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) 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)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O))) (*.f32 (*.f32 (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 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta_O cosTheta_i) v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O cosTheta_i)
(/.f32 (*.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))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v))
(*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
Outputs
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) #s(literal 2 binary32)) (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32))) (-.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 (neg.f32 v) v)) sinTheta_O) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) #s(literal 2 binary32)) (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 (neg.f32 v) v)) sinTheta_O)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32)) (pow.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) #s(literal 3 binary32)) (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) (-.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32)))))
(/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (*.f32 v v) (*.f32 (neg.f32 v) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O))) (*.f32 (neg.f32 v) (*.f32 v v)))
(/.f32 (fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v) (*.f32 v (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O))) (*.f32 v (*.f32 v v)))
(/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) (neg.f32 v) (*.f32 (*.f32 v v) (*.f32 (neg.f32 cosTheta_i) cosTheta_O))) (*.f32 (*.f32 v v) (neg.f32 v)))
(/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 v v) v))
(/.f32 (-.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32)) (pow.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) #s(literal 2 binary32))) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v)))))
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) #s(literal 3 binary32)) (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) sinTheta_O) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 v v))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) #s(literal 3 binary32)) (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 3 binary32))) (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) (-.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32)) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))))) (/.f32 (pow.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) #s(literal 2 binary32)) (-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))))))
(-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (neg.f32 sinTheta_O) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 v v))))
(-.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 (neg.f32 v) v)) sinTheta_O))
(-.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) (*.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i v)))
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (neg.f32 v)) (/.f32 sinTheta_O (neg.f32 v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (fabs.f32 v)) (/.f32 sinTheta_O (fabs.f32 v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(fma.f32 (/.f32 cosTheta_O v) cosTheta_i (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))))
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) v) (/.f32 sinTheta_O v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 v v)) sinTheta_O (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(fma.f32 sinTheta_O (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 v v)) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(fma.f32 cosTheta_O (/.f32 cosTheta_i v) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))))
(fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))))
(fma.f32 cosTheta_i (/.f32 cosTheta_O v) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))))
(+.f32 (/.f32 (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 3 binary32)) (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) (-.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) #s(literal 3 binary32)) (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) (-.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) (pow.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 2 binary32)))))
(+.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))))
(+.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O) #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O) #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) #s(literal 3 binary32)) (neg.f32 (pow.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) (pow.f32 (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O) #s(literal 2 binary32)) (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v)))
(/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) #s(literal 3 binary32)) (neg.f32 (pow.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) #s(literal 3 binary32)))) (+.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O) #s(literal 2 binary32)) (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) (*.f32 cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) #s(literal 3 binary32)) (neg.f32 (pow.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i) #s(literal 3 binary32)))) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O)) (pow.f32 (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v))) (/.f32 (pow.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v))))
(-.f32 (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) (/.f32 #s(literal 1/2 binary32) v)))
(-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (neg.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i))) cosTheta_O))
(-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (neg.f32 (*.f32 sinTheta_i cosTheta_O)) (neg.f32 cosTheta_i)))
(-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (neg.f32 (neg.f32 cosTheta_i)) (*.f32 sinTheta_i cosTheta_O)))
(-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))
(fma.f32 (/.f32 #s(literal 1/2 binary32) v) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O) (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O))
(fma.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v))
(fma.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O) v) (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O))
(fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O) (/.f32 #s(literal 1/2 binary32) v) (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O))
(fma.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O))
(fma.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) (*.f32 cosTheta_O (/.f32 #s(literal 1/2 binary32) v)) (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O))
(fma.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 #s(literal 1/2 binary32) v)) (*.f32 (*.f32 sinTheta_i (neg.f32 cosTheta_i)) cosTheta_O))
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(*.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_O) cosTheta_i)
(*.f32 (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i) cosTheta_O)
(*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 cosTheta_O cosTheta_i))
(*.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)))
(*.f32 cosTheta_O (*.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) cosTheta_i))
(*.f32 cosTheta_i (*.f32 cosTheta_O (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 cosTheta_O cosTheta_i)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1 binary32)) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(fma.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 cosTheta_O cosTheta_i) (*.f32 (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (*.f32 cosTheta_O cosTheta_i)))
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))))
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(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))))
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)))
(-.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i))
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(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 sinTheta_i))) (/.f32 sinTheta_O v)))
(exp.f32 (*.f32 (/.f32 sinTheta_O v) (neg.f32 sinTheta_i)))
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(/.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(-.f32 (/.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(+.f32 (/.f32 (cosh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (neg.f32 (sinh.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))

eval59.0ms (0.7%)

Memory
-2.2MiB live, 101.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 23 087 to 2 216 computations (90.4% saved)

prune42.0ms (0.5%)

Memory
-3.4MiB live, 89.1MiB allocated; 6ms collecting garbage
Pruning

33 alts after pruning (31 fresh and 2 done)

PrunedKeptTotal
New50328531
Fresh10313
Picked325
Done000
Total51633549
Accuracy
99.6%
Counts
549 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.f32 (/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
98.4%
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))))) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
98.1%
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) v)
97.4%
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
98.1%
(/.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) v)
98.6%
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.5%
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.5%
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 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))
70.6%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
64.1%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
64.1%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
98.4%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.4%
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.3%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.3%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i)) cosTheta_O (*.f32 (fma.f32 (*.f32 cosTheta_O v) cosTheta_i (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O))) v)) (pow.f32 v #s(literal 3 binary32))))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
97.8%
(*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (*.f32 #s(literal 2 binary32) v) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.5%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
58.1%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
98.4%
(*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
98.5%
(*.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 #s(literal 2 binary32) v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.5%
(*.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
98.5%
(*.f32 (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) v)) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.5%
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 sinTheta_i cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O)))
98.5%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 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 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
58.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)))
58.1%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
58.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
58.1%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
58.1%
#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)))
58.1%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
Compiler

Compiled 2 230 to 1 668 computations (25.2% saved)

simplify133.0ms (1.5%)

Memory
7.1MiB live, 149.1MiB allocated; 11ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
cost-diff2
(*.f32 (*.f32 v v) v)
cost-diff2
(fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i)))
cost-diff2
(/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 v v) v))
cost-diff0
(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))
cost-diff0
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
cost-diff0
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
cost-diff0
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
cost-diff0
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
cost-diff0
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
cost-diff0
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
cost-diff1
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
cost-diff0
(/.f32 cosTheta_O v)
cost-diff0
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
cost-diff0
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
cost-diff0
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
cost-diff0
(*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))
cost-diff0
(/.f32 cosTheta_i v)
cost-diff0
(*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))))
cost-diff0
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065677
0107677
1252665
2903656
34417656
08265647
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))))
(/.f32 cosTheta_i v)
cosTheta_i
v
(*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))
cosTheta_O
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.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 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 v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
#s(literal 1/2 binary32)
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 cosTheta_O v)
cosTheta_O
v
cosTheta_i
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 cosTheta_i cosTheta_O)
cosTheta_i
cosTheta_O
v
(*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v)
(*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32))
#s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v))
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
(+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
#s(literal 1/6 binary32)
(*.f32 v v)
#s(literal 2 binary32)
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))
(/.f32 cosTheta_O v)
cosTheta_O
v
(/.f32 cosTheta_i v)
cosTheta_i
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 v 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)) (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 v v) v)))
(/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 v v) v))
(fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i)))
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O)
(-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v)
(*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O))
#s(literal 1/2 binary32)
(*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)
(*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i)
(*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))
sinTheta_O
(*.f32 sinTheta_i sinTheta_i)
sinTheta_i
cosTheta_i
cosTheta_O
v
(*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))
(*.f32 v v)
(*.f32 (*.f32 v 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)) #s(literal 2 binary32))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)
Outputs
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
(*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v))
(/.f32 cosTheta_i v)
cosTheta_i
v
(*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O)
cosTheta_O
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 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 v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)) cosTheta_O))
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_i v)) cosTheta_O)
#s(literal 1/2 binary32)
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 cosTheta_O v)
cosTheta_O
v
cosTheta_i
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (/.f32 cosTheta_O v) #s(approx (sinh (/ 1 v)) (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (pow.f32 v #s(literal 3 binary32)))))) (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 cosTheta_O cosTheta_i)
cosTheta_i
cosTheta_O
v
(*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v)
(*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (pow.f32 v #s(literal 3 binary32)))))
(*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32))
(*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (pow.f32 v #s(literal 3 binary32)))) #s(literal 2 binary32))
#s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v))
#s(approx (sinh (/ 1 v)) (/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (pow.f32 v #s(literal 3 binary32))))
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
(/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (pow.f32 v #s(literal 3 binary32)))
(+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32))
(-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
#s(literal 1/6 binary32)
(*.f32 v v)
#s(literal 2 binary32)
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 cosTheta_i #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 (/.f32 cosTheta_O v) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))
(/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) v)
(/.f32 cosTheta_O v)
cosTheta_O
v
(/.f32 cosTheta_i v)
cosTheta_i
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v)))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 v v) v)))
#s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (*.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v))))
(/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 v v) v))
(*.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v)))
(fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i)))
(*.f32 (-.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O)) v)
(*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O)
(*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O)
(-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))
(-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v)
(/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)
(*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O))
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)
(*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O)
(*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i)
(*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i)
(*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i))
(*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)
sinTheta_O
(*.f32 sinTheta_i sinTheta_i)
sinTheta_i
cosTheta_i
cosTheta_O
v
(*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)
(*.f32 cosTheta_O cosTheta_i)
(*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))
(*.f32 (*.f32 (*.f32 v cosTheta_i) v) cosTheta_O)
(*.f32 v v)
(*.f32 (*.f32 v v) v)
(pow.f32 v #s(literal 3 binary32))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
#s(literal 2 binary32)

localize142.0ms (1.6%)

Memory
-12.2MiB live, 180.3MiB allocated; 10ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.27734375
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy0.28125
(*.f32 (*.f32 v v) v)
accuracy0.738972256077355
(/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 v v) v))
accuracy0.8099292735686227
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy0.0078125
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
accuracy0.19140625
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy0.234375
(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))
accuracy0.8099292735686227
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy0.2688738402313059
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
accuracy0.27734375
(*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v)
accuracy0.34765625
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
accuracy20.57040177423008
#s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v))
accuracy0.0
(/.f32 cosTheta_O v)
accuracy0.046875
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
accuracy0.15234375
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
accuracy13.401809299217447
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
accuracy0.15234375
(*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))))
accuracy0.22722626953688402
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
accuracy0.27734375
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
accuracy0.8099292735686227
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Samples
90.0ms256×0valid
Compiler

Compiled 539 to 53 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 35.0ms (51.5% of total)
ival-div: 18.0ms (26.5% of total)
const: 5.0ms (7.4% of total)
ival-sinh: 3.0ms (4.4% of total)
ival-add: 2.0ms (2.9% of total)
ival-exp: 2.0ms (2.9% of total)
ival-sub: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series158.0ms (1.7%)

Memory
-3.9MiB live, 147.0MiB allocated; 20ms collecting garbage
Counts
25 → 112
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))))
(/.f32 cosTheta_i v)
(*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) 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 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 cosTheta_O v)
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))
(/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 v v) v))
(fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i)))
(*.f32 (*.f32 v v) v)
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
#s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ cosTheta_i v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(/ (* cosTheta_i (+ (* cosTheta_O (pow v 2)) (* sinTheta_O (* v (- (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i)))))) (pow v 3))
(* cosTheta_i (+ (* cosTheta_O (pow v 2)) (* sinTheta_O (* v (- (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))))))
(* -1 (/ (* cosTheta_i (+ (* -1 (* cosTheta_O (pow v 2))) (* sinTheta_O (* v (- (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* -1 (* cosTheta_O sinTheta_i))))))) (pow v 3)))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (pow v 2))) (* sinTheta_O (* v (- (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* -1 (* cosTheta_O sinTheta_i))))))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(/ cosTheta_O v)
(/ (* cosTheta_O (+ (* cosTheta_i (pow v 2)) (* sinTheta_O (* v (- (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i)))))) (pow v 3))
(* cosTheta_O (+ (* cosTheta_i (pow v 2)) (* sinTheta_O (* v (- (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))))))
(* -1 (/ (* cosTheta_O (+ (* -1 (* cosTheta_i (pow v 2))) (* sinTheta_O (* v (- (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* -1 (* cosTheta_i sinTheta_i))))))) (pow v 3)))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (pow v 2))) (* sinTheta_O (* v (- (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* -1 (* cosTheta_i sinTheta_i))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 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))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 4))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* cosTheta_O (* cosTheta_i (pow v 2)))
(+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* cosTheta_O (* cosTheta_i (pow v 2))))
(+ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))
(* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O v))) sinTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O v))) sinTheta_i)) (+ (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2)))) (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) sinTheta_i)) (* cosTheta_O (* cosTheta_i (* sinTheta_O v)))) sinTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 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))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 4))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i v))) sinTheta_O)) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i v))) sinTheta_O)) (+ (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2)))) (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) sinTheta_O)) (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) sinTheta_O)) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))))))
(/ 1/6 (pow v 3))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 3))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))) (pow v 3))
(+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v)))))
(pow v 3)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1/6 (pow v 2))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* 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)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) (pow v 2))
(/ (+ (* -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)))) (pow v 2))
(* (pow v 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)))
(* (pow v 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))))
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -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))
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(* (pow v 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
Calls

15 calls:

TimeVariablePointExpression
51.0ms
v
@inf
((/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (+ (/ 1/6 (* v v)) 1) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) (/ cosTheta_i v))) (* 2 (sinh (/ 1 v)))) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) (/ cosTheta_i v))) (* (/ cosTheta_O v) (/ cosTheta_i v)) (/ (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (* (* v v) v)) (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (* (* v v) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ 1 v)) (/ 1/6 (* v v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v))
29.0ms
sinTheta_i
@0
((/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (+ (/ 1/6 (* v v)) 1) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) (/ cosTheta_i v))) (* 2 (sinh (/ 1 v)))) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) (/ cosTheta_i v))) (* (/ cosTheta_O v) (/ cosTheta_i v)) (/ (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (* (* v v) v)) (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (* (* v v) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ 1 v)) (/ 1/6 (* v v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v))
12.0ms
cosTheta_i
@-inf
((/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (+ (/ 1/6 (* v v)) 1) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) (/ cosTheta_i v))) (* 2 (sinh (/ 1 v)))) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) (/ cosTheta_i v))) (* (/ cosTheta_O v) (/ cosTheta_i v)) (/ (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (* (* v v) v)) (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (* (* v v) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ 1 v)) (/ 1/6 (* v v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v))
8.0ms
cosTheta_O
@-inf
((/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (+ (/ 1/6 (* v v)) 1) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) (/ cosTheta_i v))) (* 2 (sinh (/ 1 v)))) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) (/ cosTheta_i v))) (* (/ cosTheta_O v) (/ cosTheta_i v)) (/ (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (* (* v v) v)) (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (* (* v v) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ 1 v)) (/ 1/6 (* v v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v))
7.0ms
cosTheta_i
@0
((/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* 1/2 (* (/ cosTheta_O v) cosTheta_i)) (* (/ cosTheta_O v) cosTheta_i) (/ cosTheta_O v) (/ (+ (/ 1/6 (* v v)) 1) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) (/ cosTheta_i v))) (* 2 (sinh (/ 1 v)))) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (/ cosTheta_O v) (/ cosTheta_i v))) (* (/ cosTheta_O v) (/ cosTheta_i v)) (/ (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (* (* v v) v)) (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (* (* v v) v) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (sinh (/ 1 v)) (* (* (sinh (/ 1 v)) 2) v) (sinh (/ 1 v)) (/ 1/6 (* v v)) (* (* (sinh (/ 1 v)) 2) v) (/ (* cosTheta_i cosTheta_O) v))

simplify208.0ms (2.3%)

Memory
5.9MiB live, 146.9MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06083147
122303079
082962928
Stop Event
iter limit
node limit
Counts
112 → 111
Calls
Call 1
Inputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/ cosTheta_i v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ (* cosTheta_O cosTheta_i) v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(/ (* cosTheta_i (+ (* cosTheta_O (pow v 2)) (* sinTheta_O (* v (- (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i)))))) (pow v 3))
(* cosTheta_i (+ (* cosTheta_O (pow v 2)) (* sinTheta_O (* v (- (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))))))
(* -1 (/ (* cosTheta_i (+ (* -1 (* cosTheta_O (pow v 2))) (* sinTheta_O (* v (- (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* -1 (* cosTheta_O sinTheta_i))))))) (pow v 3)))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (pow v 2))) (* sinTheta_O (* v (- (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* -1 (* cosTheta_O sinTheta_i))))))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(/ cosTheta_O v)
(/ (* cosTheta_O (+ (* cosTheta_i (pow v 2)) (* sinTheta_O (* v (- (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i)))))) (pow v 3))
(* cosTheta_O (+ (* cosTheta_i (pow v 2)) (* sinTheta_O (* v (- (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))))))
(* -1 (/ (* cosTheta_O (+ (* -1 (* cosTheta_i (pow v 2))) (* sinTheta_O (* v (- (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* -1 (* cosTheta_i sinTheta_i))))))) (pow v 3)))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (pow v 2))) (* sinTheta_O (* v (- (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* -1 (* cosTheta_i sinTheta_i))))))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 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))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 4))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(* cosTheta_O (* cosTheta_i (pow v 2)))
(+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* cosTheta_O (* cosTheta_i (pow v 2))))
(+ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))
(* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O v))) sinTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O v))) sinTheta_i)) (+ (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2)))) (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 2)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) sinTheta_i)) (* cosTheta_O (* cosTheta_i (* sinTheta_O v)))) sinTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 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))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 4))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i v))) sinTheta_O)) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i v))) sinTheta_O)) (+ (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2)))) (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 2)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) sinTheta_O)) (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) sinTheta_O)) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))))))
(/ 1/6 (pow v 3))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) (pow v 3))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))) (pow v 3))
(+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))))
(+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v)))))
(pow v 3)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1/6 (pow v 2))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* 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)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) (pow v 2))
(/ (+ (* -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)))) (pow v 2))
(* (pow v 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)))
(* (pow v 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))))
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -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))
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(* (pow v 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) v)
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(literal 1/2 binary32))
(/ (* cosTheta_O cosTheta_i) v)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (*.f32 v v))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))
(/ (* cosTheta_i (+ (* cosTheta_O (pow v 2)) (* sinTheta_O (* v (- (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i)))))) (pow v 3))
(*.f32 cosTheta_i (/.f32 (fma.f32 (*.f32 cosTheta_O v) v (*.f32 (*.f32 sinTheta_O v) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) #s(literal 1/2 binary32)) (*.f32 sinTheta_i cosTheta_O)))) (pow.f32 v #s(literal 3 binary32))))
(* cosTheta_i (+ (* cosTheta_O (pow v 2)) (* sinTheta_O (* v (- (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_O sinTheta_i))))))
(*.f32 (fma.f32 (*.f32 cosTheta_O v) v (*.f32 (*.f32 sinTheta_O v) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) #s(literal 1/2 binary32)) (*.f32 sinTheta_i cosTheta_O)))) cosTheta_i)
(* -1 (/ (* cosTheta_i (+ (* -1 (* cosTheta_O (pow v 2))) (* sinTheta_O (* v (- (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* -1 (* cosTheta_O sinTheta_i))))))) (pow v 3)))
(*.f32 (neg.f32 cosTheta_i) (/.f32 (fma.f32 (*.f32 sinTheta_O (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 sinTheta_i cosTheta_O))) v (*.f32 (*.f32 (neg.f32 cosTheta_O) v) v)) (pow.f32 v #s(literal 3 binary32))))
(* -1 (* cosTheta_i (+ (* -1 (* cosTheta_O (pow v 2))) (* sinTheta_O (* v (- (* -1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) v)) (* -1 (* cosTheta_O sinTheta_i))))))))
(*.f32 (neg.f32 cosTheta_i) (fma.f32 (*.f32 sinTheta_O (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 sinTheta_i cosTheta_O))) v (*.f32 (*.f32 (neg.f32 cosTheta_O) v) v)))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(/ (* cosTheta_O (+ (* cosTheta_i (pow v 2)) (* sinTheta_O (* v (- (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i)))))) (pow v 3))
(*.f32 cosTheta_O (/.f32 (fma.f32 (*.f32 v cosTheta_i) v (*.f32 (*.f32 sinTheta_O v) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal 1/2 binary32)) (*.f32 sinTheta_i cosTheta_i)))) (pow.f32 v #s(literal 3 binary32))))
(* cosTheta_O (+ (* cosTheta_i (pow v 2)) (* sinTheta_O (* v (- (* 1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* cosTheta_i sinTheta_i))))))
(*.f32 (fma.f32 (*.f32 v cosTheta_i) v (*.f32 (*.f32 sinTheta_O v) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal 1/2 binary32)) (*.f32 sinTheta_i cosTheta_i)))) cosTheta_O)
(* -1 (/ (* cosTheta_O (+ (* -1 (* cosTheta_i (pow v 2))) (* sinTheta_O (* v (- (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* -1 (* cosTheta_i sinTheta_i))))))) (pow v 3)))
(*.f32 (neg.f32 cosTheta_O) (/.f32 (fma.f32 (*.f32 sinTheta_O (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal -1/2 binary32) (*.f32 sinTheta_i cosTheta_i))) v (*.f32 (*.f32 (neg.f32 cosTheta_i) v) v)) (pow.f32 v #s(literal 3 binary32))))
(* -1 (* cosTheta_O (+ (* -1 (* cosTheta_i (pow v 2))) (* sinTheta_O (* v (- (* -1/2 (/ (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))) v)) (* -1 (* cosTheta_i sinTheta_i))))))))
(*.f32 (neg.f32 cosTheta_O) (fma.f32 (*.f32 sinTheta_O (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) v) #s(literal -1/2 binary32) (*.f32 sinTheta_i cosTheta_i))) v (*.f32 (*.f32 (neg.f32 cosTheta_i) v) v)))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_i (/.f32 (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 2))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (*.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)))) sinTheta_i (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(+ (* 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))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i)) sinTheta_i (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_O (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_O) v) (*.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_O v))) sinTheta_i cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_O cosTheta_O) sinTheta_O) v) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (*.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_O v))) sinTheta_i cosTheta_O)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_O) v))) sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #s(literal 1 binary32))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 4))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O cosTheta_i) (pow.f32 v #s(literal 3 binary32))))) sinTheta_i (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_i (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_O cosTheta_i) (pow.f32 v #s(literal 3 binary32))))) sinTheta_i (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
(* cosTheta_O (* cosTheta_i (pow v 2)))
(*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O)
(+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O (* sinTheta_i v))))) (* cosTheta_O (* cosTheta_i (pow v 2))))
(*.f32 (fma.f32 (*.f32 cosTheta_O v) cosTheta_i (*.f32 (*.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_O) cosTheta_i)) v)
(+ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_i (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i)) cosTheta_O (*.f32 (fma.f32 (*.f32 cosTheta_O v) cosTheta_i (*.f32 (*.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_O) cosTheta_i)) v))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 3)))
(/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32)))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_i)) (*.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* sinTheta_i (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_i 2) v)))))
(*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_i)) (*.f32 (/.f32 sinTheta_O v) (/.f32 cosTheta_i v)) (fma.f32 (/.f32 cosTheta_i (*.f32 sinTheta_i sinTheta_i)) (/.f32 cosTheta_O v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32))))) (*.f32 sinTheta_i sinTheta_i))
(* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))
(*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O v))) sinTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O v) cosTheta_i) sinTheta_i))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O v))) sinTheta_i)) (+ (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2)))) (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_i 2)))))
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 v v) cosTheta_i) sinTheta_i) (/.f32 cosTheta_O sinTheta_i) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O v) cosTheta_i) sinTheta_i)))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_i v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 2))) sinTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 3)))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_i) (/.f32 cosTheta_i v) (*.f32 (/.f32 (*.f32 sinTheta_O cosTheta_i) v) (/.f32 cosTheta_O v))) (neg.f32 sinTheta_i))) (*.f32 sinTheta_i sinTheta_i))
(* (pow sinTheta_i 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) sinTheta_i)) (* cosTheta_O (* cosTheta_i (* sinTheta_O v)))) sinTheta_i)) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i)) cosTheta_O (/.f32 (fma.f32 (*.f32 cosTheta_O (*.f32 sinTheta_O v)) cosTheta_i (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 v v) cosTheta_i) sinTheta_i))) (neg.f32 sinTheta_i))) (*.f32 sinTheta_i sinTheta_i))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_i cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O (/.f32 (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_i cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 3))))) (/ (* cosTheta_O cosTheta_i) v))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (*.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)))) sinTheta_O (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(+ (* 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))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (*.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O)) sinTheta_O (*.f32 cosTheta_O (/.f32 cosTheta_i v)))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_i v))) sinTheta_O cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_O) sinTheta_i) v) (*.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (*.f32 sinTheta_O (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))))) sinTheta_O (*.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_i v))) sinTheta_O cosTheta_O)
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ 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))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_O) (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v))) sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 4))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 4 binary32))) (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_i cosTheta_i) (pow.f32 v #s(literal 3 binary32))))) sinTheta_O (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_O (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 sinTheta_i cosTheta_i) (pow.f32 v #s(literal 3 binary32))))) sinTheta_O (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
(+ (* cosTheta_O (* cosTheta_i (pow v 2))) (* sinTheta_O (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) (* 1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2))))))))
(fma.f32 (*.f32 v cosTheta_O) (*.f32 v cosTheta_i) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) cosTheta_i) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i v) cosTheta_i))) sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_O)) (*.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32)))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* sinTheta_O (pow v 2)))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (* (pow sinTheta_O 2) v)))))
(*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O sinTheta_O)) (*.f32 (/.f32 sinTheta_i v) (/.f32 cosTheta_i v)) (fma.f32 (/.f32 cosTheta_i (*.f32 sinTheta_O sinTheta_O)) (/.f32 cosTheta_O v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (pow.f32 v #s(literal 3 binary32))))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i v))) sinTheta_O)) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))))))
(*.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) cosTheta_O) cosTheta_i (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i v) cosTheta_i) sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_i v))) sinTheta_O)) (+ (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2)))) (/ (* cosTheta_O (* cosTheta_i (pow v 2))) (pow sinTheta_O 2)))))
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 v v) cosTheta_i) sinTheta_O) (/.f32 cosTheta_O sinTheta_O) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) cosTheta_O) cosTheta_i (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i v) cosTheta_i) sinTheta_O)))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O cosTheta_i) (* sinTheta_O v))) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 2))) sinTheta_O)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 3)))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (fma.f32 (/.f32 (neg.f32 cosTheta_O) sinTheta_O) (/.f32 cosTheta_i v) (*.f32 (/.f32 (*.f32 sinTheta_i cosTheta_i) v) (/.f32 cosTheta_O v))) (neg.f32 sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))
(* (pow sinTheta_O 2) (+ (* -1 (/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (pow v 2))) sinTheta_O)) (* cosTheta_O (* cosTheta_i (* sinTheta_i v)))) sinTheta_O)) (* 1/2 (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))))))
(*.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (*.f32 cosTheta_O (*.f32 sinTheta_i v)) cosTheta_i (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 v v) cosTheta_i) sinTheta_O))) (neg.f32 sinTheta_O))) (*.f32 sinTheta_O sinTheta_O))
(/ 1/6 (pow v 3))
(/.f32 #s(literal 1/6 binary32) (pow.f32 v #s(literal 3 binary32)))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (pow.f32 v #s(literal 3 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 3))
(/.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i)) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_O v) cosTheta_i))) sinTheta_i) (pow.f32 v #s(literal 3 binary32)))
(/ (+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))))) (pow v 3))
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i)) cosTheta_O (*.f32 (fma.f32 (*.f32 cosTheta_O v) cosTheta_i (*.f32 (*.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_O) cosTheta_i)) v)) (pow.f32 v #s(literal 3 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))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i)) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_O v) cosTheta_i))) sinTheta_i)
(+ (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* v (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v)))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i)) cosTheta_O (*.f32 (fma.f32 (*.f32 cosTheta_O v) cosTheta_i (*.f32 (*.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_O) cosTheta_i)) v))
(pow v 3)
(pow.f32 v #s(literal 3 binary32))
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(/ 1/6 (pow v 2))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i)) cosTheta_O (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i)) cosTheta_O (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i)))) (pow.f32 v #s(literal 3 binary32))))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) v)
(/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i)) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) v) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) (pow v 3))) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i)))) v)
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) v) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i)))) v)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) v) (-.f32 cosTheta_O (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(+.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) v) (*.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)))) (-.f32 cosTheta_O (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ 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))))))
(+.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O (*.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(/.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) (pow v 2))
(/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) v) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))
(/ (+ (* -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)))) (pow v 2))
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) v) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i)))) (*.f32 v v))
(* (pow v 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)))
(*.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(* (pow v 2) (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))))
(*.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) v) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v v))
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 sinTheta_O cosTheta_i)) sinTheta_i (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 cosTheta_O cosTheta_i) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) v))
(/.f32 (fma.f32 (neg.f32 cosTheta_i) cosTheta_O (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v))) v))
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_O) cosTheta_i (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal 1/2 binary32))) v))) v)
(* -1 (/ (+ (* -1 (* cosTheta_O cosTheta_i)) (* -1 (/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v))) v))) v))) v))
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 cosTheta_O cosTheta_i (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32))) v))) v))) v)
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_i cosTheta_O) sinTheta_O)) v))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 (*.f32 sinTheta_O cosTheta_O) sinTheta_i (/.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_O) v) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (neg.f32 v))) v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) v) #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (/.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) v) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) #s(literal 1/2 binary32))) (neg.f32 v))) v))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O)) (neg.f32 v))) (*.f32 v v))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(/.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_O) #s(literal 1/2 binary32)) cosTheta_i (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal -1/6 binary32))) (neg.f32 v))) (neg.f32 v))) (*.f32 v v))
(* (pow v 2) (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i)))
(*.f32 (fma.f32 cosTheta_O cosTheta_i (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O)) (neg.f32 v))) (*.f32 v v))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32))) (neg.f32 v))

rewrite78.0ms (0.9%)

Memory
26.0MiB live, 71.4MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065397
0107391
1331388
01984385
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
25 → 363
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))))
(/.f32 cosTheta_i v)
(*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) 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 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(/.f32 cosTheta_O v)
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))
(/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 v v) v))
(fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i)))
(*.f32 (*.f32 v v) v)
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v)
#s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
Outputs
(*.f32 (/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(*.f32 (/.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)))
(*.f32 (/.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) v) #s(literal 2 binary32)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) v) #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 cosTheta_i v))
(*.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v))
(*.f32 (/.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 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)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 cosTheta_i v) (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(/.f32 (/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) #s(literal 2 binary32))
(/.f32 (*.f32 (neg.f32 cosTheta_i) (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (neg.f32 v))
(/.f32 (*.f32 cosTheta_i (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) v)
(/.f32 (*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O)) v)
(/.f32 (neg.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)))) (neg.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v)) (/.f32 cosTheta_i v))) (neg.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (neg.f32 v))) (neg.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 (neg.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) (neg.f32 v))
(/.f32 (*.f32 (neg.f32 cosTheta_i) (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O)) (*.f32 (neg.f32 v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (neg.f32 v)) (*.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 (*.f32 (neg.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v)) (/.f32 cosTheta_i v)) (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (/.f32 (*.f32 (neg.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v)) (/.f32 cosTheta_i v)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (/.f32 (/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (neg.f32 v)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(*.f32 (*.f32 (/.f32 cosTheta_i v) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) cosTheta_O)
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) cosTheta_i)
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))
(*.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(*.f32 cosTheta_O (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 cosTheta_i v)))
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O))
(*.f32 cosTheta_i (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (neg.f32 v))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (neg.f32 cosTheta_i)) (neg.f32 v))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (neg.f32 cosTheta_i) cosTheta_O)) (neg.f32 v))
(/.f32 (neg.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i)) (neg.f32 v))
(/.f32 (*.f32 (neg.f32 cosTheta_i) (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) v)
(/.f32 (neg.f32 (neg.f32 cosTheta_i)) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 cosTheta_i) (neg.f32 v))
(/.f32 cosTheta_i v)
(neg.f32 (/.f32 (neg.f32 cosTheta_i) v))
(neg.f32 (/.f32 cosTheta_i (neg.f32 v)))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O)
(*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 cosTheta_O v)))
(*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) (/.f32 cosTheta_O v))
(*.f32 (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)) cosTheta_i)
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) #s(literal 1/2 binary32))
(*.f32 (/.f32 cosTheta_O v) (*.f32 cosTheta_i #s(literal 1/2 binary32)))
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i))
(*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 cosTheta_i) cosTheta_O)) (neg.f32 v))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta_O cosTheta_i)) v)
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v)
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O)) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(neg.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v))
(neg.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v)))
(/.f32 (neg.f32 (neg.f32 cosTheta_O)) (neg.f32 (neg.f32 v)))
(/.f32 (neg.f32 cosTheta_O) (neg.f32 v))
(/.f32 cosTheta_O v)
(neg.f32 (/.f32 (neg.f32 cosTheta_O) v))
(neg.f32 (/.f32 cosTheta_O (neg.f32 v)))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 v #s(literal 3 binary32))) (/.f32 #s(literal 1/6 binary32) (pow.f32 v #s(literal 3 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) v) (/.f32 #s(literal 1 binary32) v))) (-.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 v #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) v)))
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(fma.f32 (*.f32 (*.f32 v v) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (pow.f32 v #s(literal 3 binary32))))
(fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) (/.f32 v (pow.f32 v #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 v v) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))))
(fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 (*.f32 sinTheta_O v) (pow.f32 v #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 v v) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))))
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 v v) (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (pow.f32 v #s(literal 3 binary32))))
(fma.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) v) (/.f32 (*.f32 v v) v) (/.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (pow.f32 v #s(literal 3 binary32))))
(fma.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 (*.f32 v v) (*.f32 v v)) (/.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (pow.f32 v #s(literal 3 binary32))))
(fma.f32 (*.f32 v v) (/.f32 (*.f32 cosTheta_O cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (pow.f32 v #s(literal 3 binary32))))
(fma.f32 v (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (pow.f32 v #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (pow.f32 v #s(literal 3 binary32))))
(fma.f32 v (/.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 v v) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))))
(+.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (pow.f32 v #s(literal 3 binary32))))
(+.f32 (/.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (pow.f32 v #s(literal 3 binary32))) (*.f32 (*.f32 (*.f32 v v) cosTheta_O) (/.f32 cosTheta_i (pow.f32 v #s(literal 3 binary32)))))
(neg.f32 (/.f32 (neg.f32 (*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (pow.f32 v #s(literal 3 binary32))))
(neg.f32 (/.f32 (*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 (neg.f32 v) #s(literal 3 binary32))))
(*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(*.f32 v (fma.f32 (*.f32 v cosTheta_O) cosTheta_i (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O)))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (*.f32 (neg.f32 v) v) cosTheta_O) cosTheta_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (*.f32 (*.f32 (*.f32 (neg.f32 v) v) cosTheta_O) cosTheta_i)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) #s(literal 2 binary32)))) (neg.f32 (*.f32 v (-.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) (*.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) (-.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)))) (pow.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) #s(literal 2 binary32))) (*.f32 v (-.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) (*.f32 (*.f32 cosTheta_O cosTheta_i) v))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (*.f32 (*.f32 v v) cosTheta_O)) cosTheta_i))))
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) (-.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)))) (pow.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) #s(literal 2 binary32)) (*.f32 v (-.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) (*.f32 (*.f32 cosTheta_O cosTheta_i) v)))) (/.f32 (pow.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) #s(literal 2 binary32)) (*.f32 v (-.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) (*.f32 (*.f32 cosTheta_O cosTheta_i) v)))))
(-.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (*.f32 (neg.f32 (*.f32 (*.f32 v v) cosTheta_O)) cosTheta_i))
(-.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (*.f32 v v)))
(-.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (*.f32 (neg.f32 v) (*.f32 (*.f32 cosTheta_O cosTheta_i) v)))
(-.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (*.f32 (*.f32 (*.f32 (neg.f32 v) v) cosTheta_O) cosTheta_i))
(-.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) (*.f32 (neg.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O)) v))
(-.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) (*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (*.f32 sinTheta_O v)))
(-.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) (*.f32 (neg.f32 v) (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O)))
(fma.f32 (*.f32 v (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) sinTheta_O (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O))
(fma.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v)) (neg.f32 v) (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(fma.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (fabs.f32 v)) (fabs.f32 v) (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(fma.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(fma.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O))
(fma.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) v) v (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(fma.f32 (*.f32 (*.f32 v v) cosTheta_O) cosTheta_i (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(fma.f32 (neg.f32 v) (*.f32 (neg.f32 v) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(fma.f32 (fabs.f32 v) (*.f32 (fabs.f32 v) (*.f32 cosTheta_O cosTheta_i)) (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O))
(fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (*.f32 sinTheta_O v) (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O))
(fma.f32 (*.f32 cosTheta_O cosTheta_i) (*.f32 v v) (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(fma.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(fma.f32 sinTheta_O (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) v) (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O))
(fma.f32 cosTheta_O (*.f32 cosTheta_i (*.f32 v v)) (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(fma.f32 v (*.f32 (*.f32 cosTheta_O cosTheta_i) v) (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(fma.f32 v (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O))
(fma.f32 cosTheta_i (*.f32 (*.f32 v v) cosTheta_O) (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(+.f32 (/.f32 (pow.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) (-.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)))) (pow.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) (-.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)))) (pow.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) #s(literal 2 binary32)))))
(+.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O))
(+.f32 (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O) (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))))
(*.f32 (*.f32 v (fabs.f32 v)) (fabs.f32 v))
(*.f32 (pow.f32 v #s(literal 3/2 binary32)) (pow.f32 v #s(literal 3/2 binary32)))
(*.f32 (*.f32 (neg.f32 v) v) (neg.f32 v))
(*.f32 (neg.f32 v) (*.f32 (neg.f32 v) v))
(*.f32 (fabs.f32 v) (*.f32 (fabs.f32 v) v))
(*.f32 (*.f32 v v) v)
(*.f32 v (*.f32 v v))
(pow.f32 v #s(literal 3 binary32))
(exp.f32 (*.f32 (log.f32 v) #s(literal 3 binary32)))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 v #s(literal 3 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 v #s(literal 3 binary32)))) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 v #s(literal 3 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))) (neg.f32 v))
(/.f32 (neg.f32 (neg.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 v #s(literal 3 binary32)))))) (neg.f32 (*.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(/.f32 (/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 v #s(literal 3 binary32)))) (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 (*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 v #s(literal 3 binary32))))) (*.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (/.f32 (neg.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 v #s(literal 3 binary32))))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)))
(*.f32 #s(literal 2 binary32) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 1 binary32))
(/.f32 (*.f32 #s(literal -2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal -2 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(+.f32 (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 v (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) v)
(*.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))
(*.f32 v (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(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))))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))
(*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))
(/.f32 (/.f32 #s(literal 1/6 binary32) (neg.f32 v)) (neg.f32 v))
(/.f32 (/.f32 #s(literal 1/6 binary32) (fabs.f32 v)) (fabs.f32 v))
(/.f32 (*.f32 (/.f32 #s(literal 1/6 binary32) v) #s(literal 1 binary32)) v)
(/.f32 (neg.f32 (/.f32 #s(literal 1/6 binary32) v)) (neg.f32 v))
(/.f32 (/.f32 #s(literal 1/6 binary32) v) v)
(/.f32 #s(literal -1/6 binary32) (*.f32 (neg.f32 v) v))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(neg.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)))
(neg.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 (neg.f32 v) v)))
(*.f32 (*.f32 v #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))
(*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) v)
(*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) v))
(*.f32 v (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(*.f32 (/.f32 cosTheta_O v) cosTheta_i)
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
(*.f32 cosTheta_i (/.f32 cosTheta_O v))
(/.f32 (neg.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O)) (neg.f32 (neg.f32 v)))
(/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) (neg.f32 v))
(/.f32 (*.f32 cosTheta_O cosTheta_i) v)
(neg.f32 (/.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) v))
(neg.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) (neg.f32 v)))

eval99.0ms (1.1%)

Memory
-8.8MiB live, 81.4MiB allocated; 9ms collecting garbage
Compiler

Compiled 22 511 to 2 038 computations (90.9% saved)

prune107.0ms (1.2%)

Memory
-33.4MiB live, 69.3MiB allocated; 6ms collecting garbage
Pruning

59 alts after pruning (54 fresh and 5 done)

PrunedKeptTotal
New43538473
Fresh101626
Picked235
Done022
Total44759506
Accuracy
99.7%
Counts
506 → 59
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.1%
(/.f32 (/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 #s(literal 2 binary32) v))
98.1%
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 v #s(literal 3 binary32)))) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.1%
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) v)
97.4%
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
64.1%
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) v)
64.1%
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
64.2%
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
98.5%
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) cosTheta_i) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.1%
(/.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) v)
98.6%
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
70.5%
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
64.1%
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
98.5%
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
64.2%
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (*.f32 v v)))
98.4%
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
64.2%
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
64.1%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #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))
64.1%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v (*.f32 v #s(literal 1 binary32))) (*.f32 v v))) #s(literal 2 binary32)) v))
70.6%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
64.1%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
64.1%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
98.4%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
70.6%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))) (*.f32 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))))
98.6%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.5%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.2%
(/.f32 (*.f32 cosTheta_i (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))) v)
98.4%
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.1%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.0%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (exp.f32 (*.f32 (log.f32 v) #s(literal 3 binary32))))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
96.3%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (pow.f32 v #s(literal 3 binary32)) (*.f32 (pow.f32 v #s(literal 3 binary32)) (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O))) (*.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.1%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v))) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.2%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (fma.f32 (*.f32 v cosTheta_O) (*.f32 v cosTheta_i) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) cosTheta_i) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i v) cosTheta_i))) sinTheta_O))) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.1%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (*.f32 (fma.f32 (*.f32 cosTheta_O v) cosTheta_i (*.f32 (*.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_O) cosTheta_i)) v)) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.2%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (*.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.3%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
97.8%
(*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (*.f32 #s(literal 2 binary32) v) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.5%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
58.1%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
98.4%
(*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
98.7%
(*.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
64.1%
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
98.5%
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
98.5%
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.5%
(*.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
64.2%
(*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
64.2%
(*.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 cosTheta_i v)) (/.f32 cosTheta_O v))
64.2%
(*.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v))
64.1%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
98.7%
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.5%
(*.f32 (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) v)) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.5%
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.5%
#s(approx (/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
58.2%
#s(approx (/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v))
58.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
58.1%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
58.1%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
58.1%
#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)))
58.1%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
Compiler

Compiled 4 086 to 3 070 computations (24.9% saved)

simplify170.0ms (1.9%)

Memory
20.8MiB live, 107.7MiB allocated; 8ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f32 cosTheta_O)
cost-diff0
#s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i)))
cost-diff0
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
cost-diff2
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))
cost-diff0
(/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
cost-diff0
(/.f32 cosTheta_i v)
cost-diff0
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
cost-diff0
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
cost-diff0
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O)
cost-diff0
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v)
cost-diff0
(*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v))
cost-diff0
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
cost-diff0
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
cost-diff0
(/.f32 cosTheta_i v)
cost-diff0
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
cost-diff0
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
cost-diff0
(/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
cost-diff0
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
cost-diff0
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O)
cost-diff0
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061488
092488
1219485
2714479
33569479
08276479
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O)
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
cosTheta_O
(/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 cosTheta_i v)
cosTheta_i
v
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(/.f32 cosTheta_i v)
cosTheta_i
v
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
#s(literal 1/2 binary32)
cosTheta_O
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v)
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O)
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
cosTheta_O
v
(/.f32 cosTheta_i v)
cosTheta_i
(*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))
(/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)
(-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
#s(literal 1/6 binary32)
(*.f32 v v)
#s(literal -1 binary32)
#s(literal 2 binary32)
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
cosTheta_O
(/.f32 cosTheta_i v)
cosTheta_i
v
(/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i)))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))
(neg.f32 cosTheta_O)
cosTheta_O
(/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v)
(*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O)
(*.f32 sinTheta_i cosTheta_i)
sinTheta_i
cosTheta_i
sinTheta_O
v
(*.f32 cosTheta_O cosTheta_i)
(*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)
Outputs
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O)
(*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
cosTheta_O
(/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 cosTheta_i v)
cosTheta_i
v
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O v)) cosTheta_i))
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 cosTheta_O v)) cosTheta_i)
(/.f32 cosTheta_i v)
cosTheta_i
v
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
#s(literal 1/2 binary32)
cosTheta_O
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (*.f32 cosTheta_i (/.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) #s(literal 2 binary32)) v)) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))
(*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v))
(*.f32 (/.f32 (/.f32 cosTheta_i v) v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v)
(/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v)
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O)
(*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
cosTheta_O
v
(/.f32 cosTheta_i v)
cosTheta_i
(*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))
(/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)
(-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
#s(literal 1/6 binary32)
(*.f32 v v)
#s(literal -1 binary32)
#s(literal 2 binary32)
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(*.f32 (/.f32 cosTheta_i v) cosTheta_O)
cosTheta_O
(/.f32 cosTheta_i v)
cosTheta_i
v
(/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 cosTheta_O (-.f32 cosTheta_i (*.f32 (*.f32 sinTheta_i (/.f32 cosTheta_i v)) sinTheta_O)))) (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i)))
#s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 cosTheta_O (-.f32 cosTheta_i (*.f32 (*.f32 sinTheta_i (/.f32 cosTheta_i v)) sinTheta_O))))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))
(*.f32 cosTheta_O (-.f32 cosTheta_i (*.f32 (*.f32 sinTheta_i (/.f32 cosTheta_i v)) sinTheta_O)))
(neg.f32 cosTheta_O)
cosTheta_O
(/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v)
(*.f32 (*.f32 sinTheta_i (/.f32 cosTheta_i v)) sinTheta_O)
(*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O)
(*.f32 (*.f32 cosTheta_i sinTheta_i) sinTheta_O)
(*.f32 sinTheta_i cosTheta_i)
(*.f32 cosTheta_i sinTheta_i)
sinTheta_i
cosTheta_i
sinTheta_O
v
(*.f32 cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))
(*.f32 #s(literal 2 binary32) v)
#s(literal 2 binary32)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(/.f32 #s(literal 1 binary32) v)
#s(literal 1 binary32)

localize165.0ms (1.8%)

Memory
0.6MiB live, 100.3MiB allocated; 7ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.209316259768442
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy0.27734375
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy0.29296875
(*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy0.8099292735686227
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy0.178066259768442
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy0.26171875
(/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy0.27734375
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy0.8099292735686227
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
accuracy0.23046875
(*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v))
accuracy0.24609375
(/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)
accuracy0.34765625
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
accuracy20.57040177423008
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))
accuracy0.0
(/.f32 cosTheta_i v)
accuracy0.0
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
accuracy0.140625
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
accuracy13.401809299217447
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
accuracy0.1171875
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
accuracy0.27734375
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
accuracy0.35775375976844204
(/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
accuracy0.8099292735686227
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
Samples
125.0ms256×0valid
Compiler

Compiled 403 to 56 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 53.0ms (51.2% of total)
ival-div: 20.0ms (19.3% of total)
ival-exp: 18.0ms (17.4% of total)
const: 4.0ms (3.9% of total)
ival-neg: 3.0ms (2.9% of total)
ival-sinh: 3.0ms (2.9% of total)
ival-add: 1.0ms (1% of total)
ival-sub: 1.0ms (1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series92.0ms (1%)

Memory
26.9MiB live, 72.0MiB allocated; 13ms collecting garbage
Counts
24 → 130
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O)
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(/.f32 cosTheta_i v)
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v)
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i)))
(neg.f32 cosTheta_O)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)
(*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ cosTheta_i v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 cosTheta_O)
(/ (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v)))) v)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(* -1 cosTheta_O)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 4))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(/ cosTheta_O v)
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 3))))) (/ cosTheta_O v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 3))))))) (/ cosTheta_O v))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(/ (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 4))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))) (/ cosTheta_O v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 3))))))) (/ cosTheta_O v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 3))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(* 1/2 (/ cosTheta_i v))
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) (pow v 2))
(/ (+ (* -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)))) (pow v 2))
(/ (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(/ (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))) v)
(/ (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))) v)
1/2
(+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(+ (* -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)))
(+ (* -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))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(* -1 (/ (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) v))
(* -1 (/ (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v))) v))
(* -1 (/ (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v))) v))) v))
(+ 1/2 (* -1 (/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))
(+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
Calls

15 calls:

TimeVariablePointExpression
20.0ms
cosTheta_O
@inf
((* (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 v))))) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (/ cosTheta_i v) (* 1/2 cosTheta_O)) (/ cosTheta_i v) (* 1/2 cosTheta_O) (/ (* (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/ cosTheta_i v)) (* (sinh (/ 1 v)) 2)) (* (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/ cosTheta_i v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (* (* cosTheta_O (/ cosTheta_i v)) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O (/ cosTheta_i v)) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i cosTheta_i) sinTheta_O) v)) (* cosTheta_O cosTheta_i)) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* v (* (* 2 v) (sinh (/ 1 v))))) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (neg cosTheta_O) (sinh (/ 1 v)) (* (* 2 v) (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1/6 (* v v)) (/ (- (/ 1/6 (* v v)) -1) v) (* v (* (* 2 v) (sinh (/ 1 v)))))
7.0ms
v
@0
((* (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 v))))) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (/ cosTheta_i v) (* 1/2 cosTheta_O)) (/ cosTheta_i v) (* 1/2 cosTheta_O) (/ (* (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/ cosTheta_i v)) (* (sinh (/ 1 v)) 2)) (* (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/ cosTheta_i v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (* (* cosTheta_O (/ cosTheta_i v)) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O (/ cosTheta_i v)) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i cosTheta_i) sinTheta_O) v)) (* cosTheta_O cosTheta_i)) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* v (* (* 2 v) (sinh (/ 1 v))))) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (neg cosTheta_O) (sinh (/ 1 v)) (* (* 2 v) (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1/6 (* v v)) (/ (- (/ 1/6 (* v v)) -1) v) (* v (* (* 2 v) (sinh (/ 1 v)))))
6.0ms
cosTheta_O
@-inf
((* (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 v))))) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (/ cosTheta_i v) (* 1/2 cosTheta_O)) (/ cosTheta_i v) (* 1/2 cosTheta_O) (/ (* (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/ cosTheta_i v)) (* (sinh (/ 1 v)) 2)) (* (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/ cosTheta_i v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (* (* cosTheta_O (/ cosTheta_i v)) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O (/ cosTheta_i v)) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i cosTheta_i) sinTheta_O) v)) (* cosTheta_O cosTheta_i)) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* v (* (* 2 v) (sinh (/ 1 v))))) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (neg cosTheta_O) (sinh (/ 1 v)) (* (* 2 v) (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1/6 (* v v)) (/ (- (/ 1/6 (* v v)) -1) v) (* v (* (* 2 v) (sinh (/ 1 v)))))
6.0ms
cosTheta_i
@0
((* (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 v))))) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (/ cosTheta_i v) (* 1/2 cosTheta_O)) (/ cosTheta_i v) (* 1/2 cosTheta_O) (/ (* (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/ cosTheta_i v)) (* (sinh (/ 1 v)) 2)) (* (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/ cosTheta_i v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (* (* cosTheta_O (/ cosTheta_i v)) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O (/ cosTheta_i v)) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i cosTheta_i) sinTheta_O) v)) (* cosTheta_O cosTheta_i)) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* v (* (* 2 v) (sinh (/ 1 v))))) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (neg cosTheta_O) (sinh (/ 1 v)) (* (* 2 v) (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1/6 (* v v)) (/ (- (/ 1/6 (* v v)) -1) v) (* v (* (* 2 v) (sinh (/ 1 v)))))
6.0ms
cosTheta_i
@-inf
((* (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 v))))) (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 v)))) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (* (/ cosTheta_i v) (* 1/2 cosTheta_O)) (/ cosTheta_i v) (* 1/2 cosTheta_O) (/ (* (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/ cosTheta_i v)) (* (sinh (/ 1 v)) 2)) (* (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/ cosTheta_i v)) (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (* (* cosTheta_O (/ cosTheta_i v)) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v))))) (* cosTheta_O (/ cosTheta_i v)) (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i cosTheta_i) sinTheta_O) v)) (* cosTheta_O cosTheta_i)) (/ (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (* v (* (* 2 v) (sinh (/ 1 v))))) (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (neg cosTheta_O) (sinh (/ 1 v)) (* (* 2 v) (sinh (/ 1 v))) (sinh (/ 1 v)) (/ 1/6 (* v v)) (/ (- (/ 1/6 (* v v)) -1) v) (* v (* (* 2 v) (sinh (/ 1 v)))))

simplify217.0ms (2.4%)

Memory
-3.3MiB live, 96.3MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06803376
124963252
083273106
Stop Event
iter limit
node limit
Counts
130 → 129
Calls
Call 1
Inputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(/ cosTheta_i v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))
(/ (* cosTheta_O cosTheta_i) v)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(* 1/2 cosTheta_O)
(/ (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v)))) v)
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(* -1 cosTheta_O)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
1
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 4))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(/ cosTheta_O v)
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 3))))) (/ cosTheta_O v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 3))))))) (/ cosTheta_O v))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(* cosTheta_O cosTheta_i)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))))))))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(/ (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (pow sinTheta_i 2) (pow v 2))))))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 4))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))) (/ cosTheta_O v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 3))))))) (/ cosTheta_O v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))))))))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ 1/6 (pow v 2))
(/ 1/6 (pow v 3))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(* 1/2 (/ cosTheta_i v))
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) (pow v 2))
(/ (+ (* -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)))) (pow v 2))
(/ (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(/ (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))) v)
(/ (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))) v)
1/2
(+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(+ (* -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)))
(+ (* -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))))
(/ 1 v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
2
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(* 2 v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) v)) (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* sinTheta_O sinTheta_i)) v)))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(* -1 (/ (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) v))
(* -1 (/ (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v))) v))
(* -1 (/ (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v))) v))) v))
(+ 1/2 (* -1 (/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))
(+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
Outputs
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/ cosTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* 1/2 (/ (* cosTheta_O cosTheta_i) v))
(*.f32 (/.f32 (*.f32 cosTheta_i cosTheta_O) v) #s(literal 1/2 binary32))
(/ cosTheta_i v)
(/.f32 cosTheta_i v)
(/ (* cosTheta_O (* cosTheta_i (exp (neg (/ (* sinTheta_O sinTheta_i) v))))) (pow v 2))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))) (*.f32 v v))
(/ (* cosTheta_O cosTheta_i) v)
(/.f32 (*.f32 cosTheta_i cosTheta_O) v)
(* cosTheta_i (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))
(*.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(/ (* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v))))) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* cosTheta_O (* cosTheta_i (exp (* -1 (/ (* sinTheta_O sinTheta_i) v)))))
(*.f32 (*.f32 cosTheta_i cosTheta_O) (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))))
(* -1 (* cosTheta_i (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))))
(*.f32 (neg.f32 cosTheta_i) (*.f32 cosTheta_O (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))))
(* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v))))
(*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) cosTheta_O)
(* 1/2 cosTheta_O)
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
(/ (* cosTheta_O (exp (neg (/ (* sinTheta_O sinTheta_i) v)))) v)
(*.f32 cosTheta_O (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v))
(* cosTheta_O (+ cosTheta_i (* -1 (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(*.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(* -1 cosTheta_O)
(neg.f32 cosTheta_O)
(* -1 (* cosTheta_O (+ (* -1 cosTheta_i) (/ (* cosTheta_i (* sinTheta_O sinTheta_i)) v))))
(*.f32 (neg.f32 cosTheta_i) (*.f32 cosTheta_O (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))))
(/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i (*.f32 v v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_i (/.f32 (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
cosTheta_O
(+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)))
(-.f32 cosTheta_O (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_O) v) (*.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_O v))) sinTheta_i cosTheta_O)
(+ cosTheta_O (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O sinTheta_O) sinTheta_O) v) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (*.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_O v))) sinTheta_i cosTheta_O)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* sinTheta_O sinTheta_i) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) v) (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #s(literal 1 binary32))
(+ 1 (* sinTheta_i (+ (* -1 (/ sinTheta_O v)) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (pow v 3))) (* 1/2 (/ (pow sinTheta_O 2) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 sinTheta_O sinTheta_O) v) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 sinTheta_O #s(literal 3 binary32))) (/.f32 sinTheta_i (pow.f32 v #s(literal 3 binary32))))) sinTheta_i (/.f32 (neg.f32 sinTheta_O) v)) sinTheta_i #s(literal 1 binary32))
(/ (* cosTheta_O cosTheta_i) (pow v 2))
(*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) (pow v 3))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(fma.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v) (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 3 binary32)))))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 4))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_O) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) (pow v 3))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 4))))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_i (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_O) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
(/ cosTheta_O v)
(/.f32 cosTheta_O v)
(+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) (pow v 2))) (/ cosTheta_O v))
(fma.f32 (/.f32 (neg.f32 cosTheta_O) v) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 cosTheta_O v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) sinTheta_i)) (pow v 3))))) (/ cosTheta_O v))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_O (*.f32 v v)) (/.f32 (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) cosTheta_O) sinTheta_i) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (/.f32 cosTheta_O v))
(+ (* sinTheta_i (+ (* -1 (/ (* cosTheta_O sinTheta_O) (pow v 2))) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) sinTheta_i)) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_O 2)) (pow v 3))))))) (/ cosTheta_O v))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (*.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_O (*.f32 v v)))) sinTheta_i (/.f32 cosTheta_O v))
(/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(+ (* -1 (/ (* sinTheta_O sinTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 sinTheta_O (/.f32 (neg.f32 (/.f32 sinTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* (pow sinTheta_O 2) sinTheta_i) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (neg.f32 (/.f32 sinTheta_O (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_i (+ (* -1 (/ sinTheta_O (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_i (+ (* -1/6 (/ (* (pow sinTheta_O 3) sinTheta_i) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_O 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 sinTheta_O sinTheta_O) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_i (/.f32 (neg.f32 (/.f32 sinTheta_O (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_i (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(* cosTheta_O cosTheta_i)
(*.f32 cosTheta_i cosTheta_O)
(+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i))
(*.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O)
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) sinTheta_i))) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) cosTheta_i) cosTheta_O) v) (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_i sinTheta_O) v))) sinTheta_i (*.f32 cosTheta_i cosTheta_O))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (* sinTheta_i (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) sinTheta_i))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_O 2))) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_O #s(literal 3 binary32)) sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_i (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_i sinTheta_O) v))) sinTheta_i (*.f32 cosTheta_i cosTheta_O))
(exp (neg (/ (* sinTheta_O sinTheta_i) v)))
(exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v)))
(/ (exp (neg (/ (* sinTheta_O sinTheta_i) v))) (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))
(/.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_O) (/.f32 sinTheta_i v))) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))
(*.f32 (neg.f32 cosTheta_i) (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(* sinTheta_i (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_i)))
(*.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_i sinTheta_O) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_i)) sinTheta_i)
(* -1 (* sinTheta_i (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_i)) (/ (* cosTheta_O (* cosTheta_i sinTheta_O)) v))))
(*.f32 (neg.f32 sinTheta_i) (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_i) (/.f32 (*.f32 (*.f32 cosTheta_i sinTheta_O) cosTheta_O) v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (/.f32 (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (* (pow v 5) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ (* cosTheta_O cosTheta_i) (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O (/.f32 (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_i v))) sinTheta_O cosTheta_O)
(+ cosTheta_O (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 cosTheta_O sinTheta_i) sinTheta_i) v) (*.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (*.f32 sinTheta_O (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32))))) sinTheta_O (*.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_i v))) sinTheta_O cosTheta_O)
(+ 1 (* sinTheta_O (+ (* -1 (/ sinTheta_i v)) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) v) (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ 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))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v) (*.f32 (*.f32 #s(literal -1/6 binary32) sinTheta_O) (pow.f32 (/.f32 sinTheta_i v) #s(literal 3 binary32)))) sinTheta_O (/.f32 (neg.f32 sinTheta_i) v)) sinTheta_O #s(literal 1 binary32))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 4))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) (pow v 3))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 5))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 4))))))) (/ (* cosTheta_O cosTheta_i) (pow v 2)))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) (pow.f32 v #s(literal 5 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 4 binary32)))) sinTheta_O (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) sinTheta_i) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* 1/2 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 2))) (pow v 3))))) (/ cosTheta_O v))
(fma.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_i (*.f32 v v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (/.f32 cosTheta_O v))
(+ (* sinTheta_O (+ (* -1 (/ (* cosTheta_O sinTheta_i) (pow v 2))) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* sinTheta_O (pow sinTheta_i 3))) (pow v 4))) (* 1/2 (/ (* cosTheta_O (pow sinTheta_i 2)) (pow v 3))))))) (/ cosTheta_O v))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_i sinTheta_i)) cosTheta_O) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (*.f32 (neg.f32 cosTheta_O) (/.f32 sinTheta_i (*.f32 v v)))) sinTheta_O (/.f32 cosTheta_O v))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (* sinTheta_O (pow sinTheta_i 2)) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (*.f32 sinTheta_O #s(literal 1/2 binary32)) (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 (neg.f32 (/.f32 sinTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* sinTheta_O (+ (* -1 (/ sinTheta_i (* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* sinTheta_O (+ (* -1/6 (/ (* sinTheta_O (pow sinTheta_i 3)) (* (pow v 4) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))) (* 1/2 (/ (pow sinTheta_i 2) (* (pow v 3) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v))))))))))) (/ 1 (* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (/.f32 (*.f32 sinTheta_i sinTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O (/.f32 (neg.f32 (/.f32 sinTheta_i (*.f32 v v))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))) sinTheta_O (/.f32 (/.f32 #s(literal 1 binary32) v) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 2)))) (pow v 2))))))
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) v) (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_i sinTheta_i) v))) sinTheta_O (*.f32 cosTheta_i cosTheta_O))
(+ (* cosTheta_O cosTheta_i) (* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (* sinTheta_O (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O (pow sinTheta_i 3)))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (pow sinTheta_i 2))) (pow v 2))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) cosTheta_i) cosTheta_O) v) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O)) (pow.f32 v #s(literal 3 binary32)))) sinTheta_O (*.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_i sinTheta_i) v))) sinTheta_O (*.f32 cosTheta_i cosTheta_O))
(* sinTheta_O (+ (* -1 (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v)) (/ (* cosTheta_O cosTheta_i) sinTheta_O)))
(*.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 cosTheta_i sinTheta_i) v) (/.f32 (*.f32 cosTheta_i cosTheta_O) sinTheta_O)) sinTheta_O)
(* -1 (* sinTheta_O (+ (* -1 (/ (* cosTheta_O cosTheta_i) sinTheta_O)) (/ (* cosTheta_O (* cosTheta_i sinTheta_i)) v))))
(*.f32 (neg.f32 sinTheta_O) (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_O) (/.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) v)))
(/ (+ (* -1 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* cosTheta_O (* cosTheta_i v))) v)
(/.f32 (*.f32 (neg.f32 cosTheta_O) (-.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) (*.f32 cosTheta_i v))) v)
(* 1/2 (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))
(* v (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) v)
(/ 1/6 (pow v 2))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(/ 1/6 (pow v 3))
(/.f32 #s(literal 1/6 binary32) (pow.f32 v #s(literal 3 binary32)))
(/ (+ 1/6 (pow v 2)) (pow v 3))
(/.f32 (fma.f32 v v #s(literal 1/6 binary32)) (pow.f32 v #s(literal 3 binary32)))
(* (pow v 2) (- (exp (/ 1 v)) (/ 1 (exp (/ 1 v)))))
(*.f32 (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))) (*.f32 v v))
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* 1/2 (* cosTheta_O cosTheta_i))) v)
(/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (*.f32 cosTheta_i cosTheta_O))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2))))) v)
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (*.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i)) cosTheta_O (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v v))))) v)
(/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (* cosTheta_O cosTheta_i)) (+ (* 1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/6 (* cosTheta_O cosTheta_i))) (pow v 2)))))) v)
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i)) cosTheta_O (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/12 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i)))) (pow.f32 v #s(literal 3 binary32))))) v)
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))
(fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) (-.f32 cosTheta_O (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))))
(+.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) (*.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)))) (-.f32 cosTheta_O (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2)))))
(fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(+ 1 (+ (* -1 (/ (* sinTheta_O sinTheta_i) v)) (+ (* -1/6 (/ (* (pow sinTheta_O 3) (pow sinTheta_i 3)) (pow v 3))) (* 1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) (pow v 2))))))
(+.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 sinTheta_O sinTheta_O)) v) (/.f32 (*.f32 sinTheta_i sinTheta_i) v) (*.f32 (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))
(* 1/2 (/ cosTheta_i v))
(*.f32 (/.f32 cosTheta_i v) #s(literal 1/2 binary32))
(/ (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)) v)
(/.f32 (fma.f32 (/.f32 cosTheta_i (*.f32 v v)) #s(literal -1/12 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_i)) v)
(/ (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i))) v)
(/.f32 (fma.f32 (/.f32 (*.f32 cosTheta_i #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32))) #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)
(/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i))) (+ (* -1/720 cosTheta_i) (* 1/5040 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/36 cosTheta_i) (* 1/120 cosTheta_i)) (pow v 4))) (+ (* -1/12 (/ cosTheta_i (pow v 2))) (* 1/2 cosTheta_i)))) v)
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 cosTheta_i #s(literal -7/360 binary32)) #s(literal -1/6 binary32) (*.f32 cosTheta_i #s(literal -1/840 binary32))) (pow.f32 v #s(literal 6 binary32))) (/.f32 (*.f32 cosTheta_i #s(literal -7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (fma.f32 (/.f32 cosTheta_i (*.f32 v v)) #s(literal -1/12 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_i))) v)
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(/.f32 (*.f32 (-.f32 cosTheta_i (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) cosTheta_O) (*.f32 v v))
(/ (+ (* -1 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v)) (+ (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (pow v 2))) (* cosTheta_O cosTheta_i))) (pow v 2))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v)) (*.f32 (*.f32 cosTheta_O (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) cosTheta_i)) (*.f32 v v))
(/ (+ (* -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)))) (pow v 2))
(/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v)) (*.f32 (*.f32 cosTheta_O (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) cosTheta_i))) (*.f32 v v))
(/ (+ cosTheta_O (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v))) v)
(/.f32 (-.f32 cosTheta_O (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) v)
(/ (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2))))) v)
(/.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) (-.f32 cosTheta_O (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
(/ (+ cosTheta_O (+ (* -1 (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (pow v 3))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) (pow v 2)))))) v)
(/.f32 (+.f32 (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) (*.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (pow.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 3 binary32)))) (-.f32 cosTheta_O (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v)))) v)
1/2
#s(literal 1/2 binary32)
(+ 1/2 (* -1/2 (/ (* sinTheta_O sinTheta_i) v)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2)))))
(fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) (*.f32 v v))) #s(literal 1/2 binary32))
(+ 1/2 (+ (* -1/2 (/ (* sinTheta_O sinTheta_i) v)) (+ (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) (pow v 3))) (* 1/2 (/ (- (* 1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))) 1/6) (pow v 2))))))
(+.f32 (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 sinTheta_O sinTheta_i) v) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32) #s(literal -1/6 binary32)) (*.f32 v v))) (/.f32 (*.f32 #s(literal -1/12 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i))) (pow.f32 v #s(literal 3 binary32)))) #s(literal 1/2 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)))
(-.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v)) (*.f32 (*.f32 cosTheta_O (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) cosTheta_i))
(+ (* -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))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) cosTheta_O) (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) (pow.f32 v #s(literal 3 binary32))) (-.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) v) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) v)) (*.f32 (*.f32 cosTheta_O (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) cosTheta_i)))
(/ 1 v)
(/.f32 #s(literal 1 binary32) v)
(/ (+ 1 (* 1/6 (/ 1 (pow v 2)))) v)
(/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (* 1/6 (/ 1 (pow v 2))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v)
(/ (+ 1 (+ (/ 1/120 (pow v 4)) (+ (* 1/6 (/ 1 (pow v 2))) (* 1/5040 (/ 1 (pow v 6)))))) v)
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/120 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/5040 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 v v)))) v)
2
#s(literal 2 binary32)
(+ 2 (* 1/3 (/ 1 (pow v 2))))
(+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))
(+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2)))))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))
(+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6))))))
(+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))))
(* 2 v)
(*.f32 #s(literal 2 binary32) v)
(* v (+ 2 (* 1/3 (/ 1 (pow v 2)))))
(*.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)) v)
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (* 1/3 (/ 1 (pow v 2))))))
(*.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v))) v)
(* v (+ 2 (+ (/ 1/60 (pow v 4)) (+ (* 1/3 (/ 1 (pow v 2))) (* 1/2520 (/ 1 (pow v 6)))))))
(*.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/60 binary32) (pow.f32 v #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/2520 binary32) (pow.f32 v #s(literal 6 binary32))) (/.f32 #s(literal 1/3 binary32) (*.f32 v v)))) v)
(* -1 (/ (+ (* -1/2 (* cosTheta_O cosTheta_i)) (* 1/2 (/ (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))) v))) v))
(/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 cosTheta_i (*.f32 cosTheta_O (/.f32 (*.f32 sinTheta_O sinTheta_i) v))))) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) (* -1/2 (/ (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))) v))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) v))) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/6 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3))))) (* -1/6 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* 1/2 (- (* -1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* -1/6 (* cosTheta_O cosTheta_i))))) v)) (* -1/2 (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i))))) v)) (* -1/2 (* cosTheta_O cosTheta_i))) v))
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) cosTheta_i (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_O) (*.f32 cosTheta_i sinTheta_O)) sinTheta_i (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_i cosTheta_O))) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i)))) v)) (neg.f32 v))) (neg.f32 v))) (neg.f32 v))
(+ cosTheta_O (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O)) v))
(+ cosTheta_O (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v)) (* 1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) v)) (* cosTheta_O (* sinTheta_O sinTheta_i))) v)))
(-.f32 cosTheta_O (/.f32 (fma.f32 (*.f32 cosTheta_O sinTheta_i) sinTheta_O (/.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_O) v) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32)) cosTheta_O)) (neg.f32 v))) v))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow sinTheta_O 2) (pow sinTheta_i 2)) v)) (* sinTheta_O sinTheta_i)) v)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) v) #s(literal -1/2 binary32) (*.f32 sinTheta_O sinTheta_i)) v))
(+ 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)))
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (/.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) v) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal 1/2 binary32))) (neg.f32 v))) v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (* 1/12 (/ cosTheta_i (pow v 2)))) v))
(/.f32 (fma.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 #s(literal -1/2 binary32) cosTheta_i)) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 cosTheta_i (/.f32 (*.f32 cosTheta_i #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32)))) (*.f32 #s(literal 1/12 binary32) (/.f32 cosTheta_i (*.f32 v v)))) (neg.f32 v))
(* -1 (/ (+ (* -1/2 cosTheta_i) (+ (* -1/2 (/ (+ (* -1/6 (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i))) (+ (* -1/5040 cosTheta_i) (* 1/720 cosTheta_i))) (pow v 6))) (+ (* -1/2 (/ (+ (* -1/120 cosTheta_i) (* 1/36 cosTheta_i)) (pow v 4))) (* 1/12 (/ cosTheta_i (pow v 2)))))) v))
(/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 cosTheta_i (/.f32 (fma.f32 (*.f32 cosTheta_i #s(literal 7/360 binary32)) #s(literal -1/6 binary32) (*.f32 cosTheta_i #s(literal 1/840 binary32))) (pow.f32 v #s(literal 6 binary32)))) (fma.f32 (/.f32 #s(literal 1/12 binary32) v) (/.f32 cosTheta_i v) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) #s(literal 7/360 binary32)) (pow.f32 v #s(literal 4 binary32))))) (neg.f32 v))
(/ (+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(/.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (neg.f32 v))) (*.f32 v v))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i)) (pow v 2))
(/.f32 (fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (neg.f32 v))) (neg.f32 v))) (*.f32 v v))
(* -1 (/ (+ (* -1 cosTheta_O) (/ (* cosTheta_O (* sinTheta_O sinTheta_i)) v)) v))
(/.f32 (*.f32 cosTheta_O (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32))) (neg.f32 v))
(* -1 (/ (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* 1/2 (/ (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2))) v))) v))) v))
(/.f32 (-.f32 (neg.f32 cosTheta_O) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) v) #s(literal 1/2 binary32)) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_O)) v)) (neg.f32 v))
(* -1 (/ (+ (* -1 cosTheta_O) (* -1 (/ (+ (* -1 (* cosTheta_O (* sinTheta_O sinTheta_i))) (* -1 (/ (+ (* -1/2 (* cosTheta_O (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) (* 1/6 (/ (* cosTheta_O (* (pow sinTheta_O 3) (pow sinTheta_i 3))) v))) v))) v))) v))
(/.f32 (-.f32 (neg.f32 cosTheta_O) (/.f32 (neg.f32 (fma.f32 (*.f32 cosTheta_O sinTheta_i) sinTheta_O (/.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_O) v) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_O) #s(literal -1/2 binary32))) v))) v)) (neg.f32 v))
(+ 1/2 (* -1 (/ (+ (* 1/2 (* sinTheta_O sinTheta_i)) (* 1/2 (/ (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v))) v)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 sinTheta_O sinTheta_i (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/2 binary32) #s(literal 1/6 binary32)) v))) v))
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1/6 (* -1/2 (* (pow sinTheta_O 2) (pow sinTheta_i 2))))) (* 1/2 (/ (- (* -1/6 (* (pow sinTheta_O 3) (pow sinTheta_i 3))) (* -1/6 (* sinTheta_O sinTheta_i))) v))) v)) (* 1/2 (* sinTheta_O sinTheta_i))) v)))
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) sinTheta_i) sinTheta_O (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/12 binary32) (-.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) (*.f32 sinTheta_O sinTheta_i))) v) (fma.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) #s(literal -1/12 binary32))) (neg.f32 v))) v))
(+ (* -1 (/ (+ (* -1/2 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) v) #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O)) (neg.f32 v)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 3) (pow sinTheta_i 3)))) v)) (* 1/2 (* cosTheta_O (* cosTheta_i (* (pow sinTheta_O 2) (pow sinTheta_i 2)))))) v)) (* cosTheta_O (* cosTheta_i (* sinTheta_O sinTheta_i)))) v)) (* cosTheta_O cosTheta_i))
(fma.f32 cosTheta_i cosTheta_O (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (*.f32 sinTheta_O sinTheta_i) #s(literal 3 binary32)) cosTheta_i) cosTheta_O) v) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) (neg.f32 v))) (neg.f32 v)))
(* -1 (/ (- (* -1 (/ (+ 1/6 (* 1/120 (/ 1 (pow v 2)))) (pow v 2))) 1) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))
(* -1 (/ (- (* -1 (/ (+ 1/120 (* 1/5040 (/ 1 (pow v 2)))) (pow v 4))) (+ 1 (* 1/6 (/ 1 (pow v 2))))) v))
(/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/5040 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/120 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32))) (neg.f32 v))
(* -1 (* v (- (* -1 (/ (+ 1/3 (* 1/60 (/ 1 (pow v 2)))) (pow v 2))) 2)))
(*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)))
(* -1 (* v (- (* -1 (/ (+ 1/60 (* 1/2520 (/ 1 (pow v 2)))) (pow v 4))) (+ 2 (* 1/3 (/ 1 (pow v 2)))))))
(*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2520 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/60 binary32)) (pow.f32 v #s(literal 4 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))

rewrite80.0ms (0.9%)

Memory
-11.2MiB live, 34.8MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061336
092336
1284333
01567333
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
24 → 311
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O)
#s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))
(/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
(*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O))
(/.f32 cosTheta_i v)
(*.f32 #s(literal 1/2 binary32) cosTheta_O)
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v)
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_O (/.f32 cosTheta_i v))
(/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
#s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i)))
(neg.f32 cosTheta_O)
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)
(*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
Outputs
(*.f32 (*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) cosTheta_i) (/.f32 cosTheta_O v))
(*.f32 (*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) cosTheta_O) (/.f32 cosTheta_i v))
(*.f32 (*.f32 (/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) cosTheta_O)
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (*.f32 #s(literal 2 binary32) v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) (/.f32 (/.f32 cosTheta_i v) v))
(*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) v))
(*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) #s(literal 2 binary32)) (/.f32 (/.f32 cosTheta_i v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) #s(literal 2 binary32)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) v))
(*.f32 (*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) (/.f32 cosTheta_i v)) cosTheta_O)
(*.f32 (/.f32 (*.f32 cosTheta_O (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) (*.f32 (/.f32 cosTheta_i v) cosTheta_O))
(*.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))))
(*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) (/.f32 (/.f32 cosTheta_i v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))))
(*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
(*.f32 cosTheta_i (*.f32 (/.f32 cosTheta_O v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))))
(*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 cosTheta_O (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 cosTheta_O (*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) (/.f32 cosTheta_i v)))
(*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_O (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) cosTheta_i) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) cosTheta_i) #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) v) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (neg.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))) (neg.f32 v))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))) v)
(/.f32 (*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (/.f32 cosTheta_i (neg.f32 v)) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 (*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) (neg.f32 v))
(/.f32 (*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) (*.f32 cosTheta_i cosTheta_O)) v)
(/.f32 (*.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (*.f32 (/.f32 cosTheta_i v) cosTheta_O) (neg.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (neg.f32 v))) (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 (neg.f32 (*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) cosTheta_i)) (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) v) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (neg.f32 v)))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) v) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (*.f32 (neg.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) (neg.f32 v)))
(/.f32 (*.f32 (neg.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) v))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (neg.f32 cosTheta_O) cosTheta_i)) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) v))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) v)) (*.f32 (neg.f32 v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (neg.f32 v) (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) v))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) v)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) (neg.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) v))
(/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) cosTheta_i) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
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(/.f32 (*.f32 (neg.f32 cosTheta_O) cosTheta_i) (neg.f32 v))
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(fma.f32 cosTheta_O (neg.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (*.f32 cosTheta_i cosTheta_O))
(fma.f32 cosTheta_O cosTheta_i (*.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 cosTheta_O)))
(+.f32 (/.f32 (neg.f32 (pow.f32 (*.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_O) #s(literal 3 binary32))) (fma.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 cosTheta_O))) (pow.f32 (*.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 cosTheta_O)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 3 binary32)) (fma.f32 (*.f32 cosTheta_i cosTheta_O) (-.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 cosTheta_O))) (pow.f32 (*.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 cosTheta_O)) #s(literal 2 binary32)))))
(+.f32 (*.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 cosTheta_O)) (*.f32 (neg.f32 (neg.f32 cosTheta_O)) cosTheta_i))
(+.f32 (*.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 cosTheta_O)) (*.f32 cosTheta_i cosTheta_O))
(+.f32 (*.f32 cosTheta_i cosTheta_O) (*.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) (neg.f32 cosTheta_O)))
(/.f32 (/.f32 (/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 (neg.f32 cosTheta_O) (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i))) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) v)
(/.f32 (/.f32 (/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 (neg.f32 cosTheta_O) (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i))) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (/.f32 (/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 (neg.f32 cosTheta_O) (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i))) v) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 (/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 (neg.f32 cosTheta_O) (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i))) v) #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (/.f32 (/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 (neg.f32 cosTheta_O) (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i))) v) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 (neg.f32 cosTheta_O) (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i))) (*.f32 (*.f32 v v) #s(literal 2 binary32))) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 (neg.f32 cosTheta_O) (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i))) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) v)
(/.f32 (neg.f32 (/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 (neg.f32 cosTheta_O) (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i))) v)) (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)))
(/.f32 (neg.f32 (neg.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 (neg.f32 cosTheta_O) (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i))))) (neg.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) v)))
(/.f32 (/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 (neg.f32 cosTheta_O) (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i))) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (neg.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 (neg.f32 cosTheta_O) (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)))) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 (neg.f32 cosTheta_O) (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i))) (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(neg.f32 (/.f32 (neg.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 (neg.f32 cosTheta_O) (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)))) (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(neg.f32 (/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 (neg.f32 cosTheta_O) (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i))) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) v)))
#s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (*.f32 (neg.f32 cosTheta_O) (-.f32 (*.f32 cosTheta_i (/.f32 (*.f32 sinTheta_O sinTheta_i) v)) cosTheta_i)))
(neg.f32 cosTheta_O)
(/.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))
(-.f32 (/.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 #s(literal -1 binary32) v)) #s(literal 2 binary32)))
(sinh.f32 (/.f32 #s(literal 1 binary32) v))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) #s(literal 2 binary32))
(*.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 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 #s(literal 2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) v)) #s(literal 2 binary32))
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #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 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(+.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
#s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))
(/.f32 (/.f32 #s(literal 1/6 binary32) (neg.f32 v)) (neg.f32 v))
(/.f32 (/.f32 #s(literal 1/6 binary32) (fabs.f32 v)) (fabs.f32 v))
(/.f32 (neg.f32 (/.f32 #s(literal 1/6 binary32) v)) (neg.f32 v))
(/.f32 (/.f32 #s(literal 1/6 binary32) v) v)
(/.f32 #s(literal -1/6 binary32) (*.f32 (neg.f32 v) v))
(/.f32 #s(literal 1/6 binary32) (*.f32 v v))
(neg.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 v v)))
(/.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v)) (*.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v))) (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) (/.f32 #s(literal -1 binary32) v)))
(/.f32 (-.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) v) #s(literal 3 binary32))) (fma.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) (fma.f32 (/.f32 #s(literal -1 binary32) v) (/.f32 #s(literal -1 binary32) v) (*.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)))) (neg.f32 (neg.f32 v)))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) (*.f32 v #s(literal -1 binary32))) (*.f32 v v))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 v v))) v))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 3 binary32)) #s(literal -1 binary32)) (*.f32 (+.f32 (+.f32 (pow.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal -1/6 binary32) (*.f32 v v))) v))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32))) (neg.f32 v))
(/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)
(-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) (/.f32 #s(literal -1 binary32) v))
(neg.f32 (/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32))) v))
(neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) (neg.f32 v)))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) (*.f32 #s(literal 2 binary32) v))
(*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) 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)) #s(literal 2 binary32)) (*.f32 v v))
(*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)) v)
(*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 (*.f32 v v) #s(literal 2 binary32)))
(*.f32 (*.f32 #s(literal 2 binary32) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v) v))
(*.f32 v (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))) #s(literal 2 binary32))

eval64.0ms (0.7%)

Memory
-19.0MiB live, 71.4MiB allocated; 9ms collecting garbage
Compiler

Compiled 18 951 to 1 818 computations (90.4% saved)

prune126.0ms (1.4%)

Memory
9.8MiB live, 158.8MiB allocated; 8ms collecting garbage
Pruning

76 alts after pruning (70 fresh and 6 done)

PrunedKeptTotal
New45034484
Fresh133649
Picked325
Done145
Total46776543
Accuracy
99.7%
Counts
543 → 76
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.2%
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) (/.f32 cosTheta_i v)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))
98.4%
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) cosTheta_i) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
64.1%
(/.f32 (/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 #s(literal 2 binary32) v))
64.2%
(/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 v v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
98.1%
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 v #s(literal 3 binary32)))) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.1%
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) v)
97.4%
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
64.1%
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) v)
64.1%
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
98.6%
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) v) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
98.7%
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) v) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
64.2%
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
64.2%
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32)))
98.1%
(/.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) v)
98.2%
(/.f32 (*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) (*.f32 cosTheta_i cosTheta_O)) v)
98.6%
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
70.5%
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
64.1%
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
64.1%
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i v)) (*.f32 (neg.f32 v) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))))
98.5%
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
64.2%
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (*.f32 v v)))
64.2%
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
64.2%
(/.f32 (*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
64.2%
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 (/.f32 cosTheta_i v) v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
64.2%
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 v v))) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
64.2%
(/.f32 (*.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
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))
64.1%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v (*.f32 v #s(literal 1 binary32))) (*.f32 v v))) #s(literal 2 binary32)) v))
70.6%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
64.1%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
64.1%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
70.6%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))) (*.f32 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))))
98.6%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
98.5%
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 cosTheta_O (/.f32 cosTheta_i (*.f32 v v)))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
64.2%
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
58.1%
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) #s(literal 2 binary32))))
70.6%
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) #s(approx (* v (* (* 2 v) (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)))))
98.4%
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) #s(approx (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i cosTheta_i) sinTheta_O) v)) (* cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_O) (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_O) (/.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) v))))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.4%
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) #s(approx (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i cosTheta_i) sinTheta_O) v)) (* cosTheta_O cosTheta_i)) (*.f32 (neg.f32 cosTheta_i) (*.f32 cosTheta_O (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32)))))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.4%
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) #s(approx (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i cosTheta_i) sinTheta_O) v)) (* cosTheta_O cosTheta_i)) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.0%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (exp.f32 (*.f32 (log.f32 v) #s(literal 3 binary32))))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
96.3%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (pow.f32 v #s(literal 3 binary32)) (*.f32 (pow.f32 v #s(literal 3 binary32)) (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O))) (*.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.2%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (fma.f32 (*.f32 v cosTheta_O) (*.f32 v cosTheta_i) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) cosTheta_i) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i v) cosTheta_i))) sinTheta_O))) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.2%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (*.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.3%
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
97.8%
(*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (*.f32 #s(literal 2 binary32) v) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
64.2%
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v))
98.5%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
58.1%
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
98.4%
(*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
64.1%
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v))
98.5%
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
98.5%
(*.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
98.5%
(*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) v)) (/.f32 (/.f32 cosTheta_i v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
64.2%
(*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
64.2%
(*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))))
98.7%
(*.f32 (*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) (*.f32 #s(literal 2 binary32) v))) (/.f32 cosTheta_i v)) cosTheta_O)
98.4%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
64.1%
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
98.7%
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
70.6%
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))))))
64.2%
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
98.6%
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (neg.f32 cosTheta_i) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) v)))
98.6%
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
57.1%
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) #s(approx (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 cosTheta_i (*.f32 v v)) #s(literal -1/12 binary32) (*.f32 #s(literal 1/2 binary32) cosTheta_i)) v)))
98.5%
(*.f32 (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) v)) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
98.7%
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32))))
70.5%
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))))))
64.1%
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
58.1%
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(approx (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
98.5%
#s(approx (/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
58.2%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_i cosTheta_O) #s(literal 1/2 binary32)) v))
58.1%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
58.1%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
58.1%
#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)))
58.1%
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
Compiler

Compiled 6 938 to 2 652 computations (61.8% saved)

regimes285.0ms (3.1%)

Memory
29.2MiB live, 314.8MiB allocated; 16ms collecting garbage
Counts
119 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#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 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(approx (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
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(*.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (*.f32 #s(literal 2 binary32) v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) v) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 (/.f32 cosTheta_i v) v) (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (*.f32 #s(literal 2 binary32) (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_O v) (/.f32 cosTheta_i v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) v) (*.f32 cosTheta_i cosTheta_O)) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(/.f32 (/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 #s(literal 2 binary32) v))
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) cosTheta_i) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) v) (*.f32 (/.f32 cosTheta_i v) cosTheta_O)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (*.f32 cosTheta_O (/.f32 cosTheta_i v))) v)
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) #s(approx (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i cosTheta_i) sinTheta_O) v)) (* cosTheta_O cosTheta_i)) (*.f32 (neg.f32 cosTheta_i) (*.f32 cosTheta_O (fma.f32 sinTheta_O (/.f32 sinTheta_i v) #s(literal -1 binary32)))))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O)) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) #s(approx (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i cosTheta_i) sinTheta_O) v)) (* cosTheta_O cosTheta_i)) (*.f32 (neg.f32 sinTheta_O) (fma.f32 (neg.f32 cosTheta_O) (/.f32 cosTheta_i sinTheta_O) (/.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) v))))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (*.f32 (fma.f32 (*.f32 cosTheta_O v) cosTheta_i (*.f32 (*.f32 (*.f32 (neg.f32 sinTheta_i) sinTheta_O) cosTheta_O) cosTheta_i)) v)) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (*.f32 (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 #s(approx (+ (* (* (- (/ (* 1/2 (* (* (* sinTheta_O (* sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (* (* cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v) (* (* v v) (* cosTheta_O cosTheta_i))) (fma.f32 (*.f32 v cosTheta_O) (*.f32 v cosTheta_i) (*.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O)) cosTheta_i) cosTheta_O (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i v) cosTheta_i))) sinTheta_O))) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_i v) cosTheta_O (*.f32 (/.f32 (fma.f32 (neg.f32 cosTheta_i) (*.f32 sinTheta_i cosTheta_O) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v)) (*.f32 v v)) sinTheta_O))) (*.f32 (*.f32 (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 (*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v))) (*.f32 (*.f32 v v) v))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (fma.f32 (/.f32 cosTheta_O v) cosTheta_i (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) (/.f32 sinTheta_O (*.f32 v v))))) (*.f32 #s(literal 2 binary32) v)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 (*.f32 v 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)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O (*.f32 v v)) cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_i v) (/.f32 cosTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
#s(approx (/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))))
(/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) cosTheta_i) (/.f32 cosTheta_O v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) v)
(*.f32 (*.f32 cosTheta_O (/.f32 (/.f32 cosTheta_i v) v)) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))) (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) v)))
(/.f32 (*.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))) (/.f32 (*.f32 cosTheta_O cosTheta_i) v)) v)
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) (exp.f32 (*.f32 (neg.f32 sinTheta_i) (/.f32 sinTheta_O v)))) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) #s(approx (+ (* (/ cosTheta_i v) cosTheta_O) (* (/ (+ (* (neg cosTheta_i) (* sinTheta_i cosTheta_O)) (/ (* (* (* (* (* sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) 1/2) v)) (* v v)) sinTheta_O)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_O) sinTheta_i) sinTheta_i) cosTheta_i)) cosTheta_O (*.f32 (fma.f32 (*.f32 cosTheta_O v) cosTheta_i (*.f32 (neg.f32 cosTheta_O) (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O))) v)) (pow.f32 v #s(literal 3 binary32))))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (pow.f32 v #s(literal 3 binary32)))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
(/.f32 (/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (*.f32 v (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O (*.f32 (*.f32 cosTheta_O cosTheta_i) v))) (pow.f32 v #s(literal 3 binary32)))) v) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (/.f32 (pow.f32 (exp.f32 (/.f32 sinTheta_O v)) (neg.f32 sinTheta_i)) (*.f32 (*.f32 #s(literal 2 binary32) v) v)) (/.f32 (*.f32 cosTheta_O cosTheta_i) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 sinTheta_O (*.f32 sinTheta_i sinTheta_i)) cosTheta_i) cosTheta_O)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i)) sinTheta_O) v (*.f32 (*.f32 v v) (*.f32 cosTheta_O cosTheta_i))) (exp.f32 (*.f32 (log.f32 v) #s(literal 3 binary32))))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (*.f32 cosTheta_i (/.f32 cosTheta_O (*.f32 v v))) (/.f32 (pow.f32 (exp.f32 (neg.f32 sinTheta_i)) (/.f32 sinTheta_O v)) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v))))))
(/.f32 #s(approx (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (/.f32 (fma.f32 (*.f32 (*.f32 sinTheta_O v) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) v) (*.f32 (*.f32 cosTheta_O cosTheta_i) sinTheta_i))) (pow.f32 v #s(literal 3 binary32)) (*.f32 (pow.f32 v #s(literal 3 binary32)) (*.f32 (*.f32 (*.f32 v v) cosTheta_i) cosTheta_O))) (*.f32 (pow.f32 v #s(literal 3 binary32)) (pow.f32 v #s(literal 3 binary32))))) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (fma.f32 (/.f32 cosTheta_O (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (/.f32 cosTheta_i (*.f32 v v)) (*.f32 (fma.f32 (neg.f32 (/.f32 cosTheta_O (pow.f32 v #s(literal 3 binary32)))) (/.f32 (*.f32 sinTheta_i cosTheta_i) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) (*.f32 (fma.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_i) cosTheta_O) (pow.f32 v #s(literal 4 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 sinTheta_i #s(literal 3 binary32)) sinTheta_O) cosTheta_i) cosTheta_O) (pow.f32 v #s(literal 5 binary32))) (-.f32 (exp.f32 (/.f32 #s(literal 1 binary32) v)) (exp.f32 (/.f32 #s(literal -1 binary32) v)))) #s(literal -1/6 binary32))) sinTheta_O)) sinTheta_O)))
Outputs
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Calls

8 calls:

64.0ms
(*.f32 sinTheta_i sinTheta_O)
42.0ms
(/.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))
33.0ms
cosTheta_O
31.0ms
sinTheta_O
29.0ms
sinTheta_i
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)

regimes165.0ms (1.8%)

Memory
4.9MiB live, 236.5MiB allocated; 26ms collecting garbage
Counts
58 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#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 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(approx (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) #s(approx (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 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 (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (*.f32 v v)))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 v v))) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 v v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i v)) (*.f32 (neg.f32 v) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 (/.f32 cosTheta_i v) v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(/.f32 (/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 #s(literal 2 binary32) v))
(*.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v))
(*.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 cosTheta_i v)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) v)
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) (/.f32 cosTheta_i v)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v (*.f32 v #s(literal 1 binary32))) (*.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) #s(approx (* v (* (* 2 v) (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))) (*.f32 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) #s(approx (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i cosTheta_i) sinTheta_O) v)) (* cosTheta_O cosTheta_i)) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (*.f32 (*.f32 #s(literal 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)) cosTheta_O) (/.f32 cosTheta_i (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) v) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (neg.f32 cosTheta_i) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) v)) v)))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Outputs
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 cosTheta_i (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Calls

8 calls:

41.0ms
cosTheta_i
20.0ms
(*.f32 sinTheta_i sinTheta_O)
17.0ms
v
16.0ms
sinTheta_i
14.0ms
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%1sinTheta_i
98.6%1sinTheta_O
98.6%1v
98.6%1cosTheta_O
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes125.0ms (1.4%)

Memory
-12.1MiB live, 179.5MiB allocated; 29ms 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 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.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 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(approx (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) #s(approx (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 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 (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (*.f32 v v)))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 v v))) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 v v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i v)) (*.f32 (neg.f32 v) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 (/.f32 cosTheta_i v) v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(/.f32 (/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 #s(literal 2 binary32) v))
(*.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v))
(*.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 cosTheta_i v)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) v)
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) (/.f32 cosTheta_i v)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v (*.f32 v #s(literal 1 binary32))) (*.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) #s(approx (* v (* (* 2 v) (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))) (*.f32 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) #s(approx (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i cosTheta_i) sinTheta_O) v)) (* cosTheta_O cosTheta_i)) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Outputs
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) #s(approx (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i cosTheta_i) sinTheta_O) v)) (* cosTheta_O cosTheta_i)) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
Calls

8 calls:

25.0ms
cosTheta_O
20.0ms
v
15.0ms
sinTheta_O
14.0ms
(*.f32 sinTheta_i sinTheta_O)
14.0ms
cosTheta_i
Results
AccuracySegmentsBranch
98.4%1(*.f32 cosTheta_i cosTheta_O)
98.4%1(*.f32 sinTheta_i sinTheta_O)
98.4%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
98.4%1cosTheta_O
98.4%1sinTheta_i
98.4%1sinTheta_O
98.4%1cosTheta_i
98.4%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes106.0ms (1.2%)

Memory
-17.8MiB live, 173.1MiB allocated; 10ms collecting garbage
Counts
52 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#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 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(approx (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) #s(approx (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 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 (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (*.f32 v v)))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 v v))) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 v v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i v)) (*.f32 (neg.f32 v) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 (/.f32 cosTheta_i v) v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(/.f32 (/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 #s(literal 2 binary32) v))
(*.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v))
(*.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 cosTheta_i v)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) v)
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) (/.f32 cosTheta_i v)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v (*.f32 v #s(literal 1 binary32))) (*.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) #s(approx (* v (* (* 2 v) (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))) #s(literal 2 binary32)) v))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (/.f32 cosTheta_O v) (/.f32 cosTheta_i v))) (*.f32 #s(literal 2 binary32) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta_i) cosTheta_O (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta_i sinTheta_i) cosTheta_O) sinTheta_O (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O))) v)) v))) (neg.f32 v)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_i) cosTheta_O (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i)) cosTheta_O (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta_O cosTheta_i) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 sinTheta_i sinTheta_i) sinTheta_O) sinTheta_O) cosTheta_i) cosTheta_O) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) v)) v)) v))
Outputs
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))))))
Calls

8 calls:

15.0ms
cosTheta_i
14.0ms
v
14.0ms
sinTheta_i
13.0ms
(*.f32 sinTheta_i sinTheta_O)
13.0ms
sinTheta_O
Results
AccuracySegmentsBranch
70.6%1cosTheta_i
70.6%1(*.f32 cosTheta_i cosTheta_O)
70.6%1(*.f32 sinTheta_i sinTheta_O)
70.6%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))
70.6%1cosTheta_O
70.6%1sinTheta_i
70.6%1sinTheta_O
70.6%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes95.0ms (1%)

Memory
9.4MiB live, 153.8MiB allocated; 7ms collecting garbage
Counts
46 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#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 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(approx (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) #s(approx (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 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 (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (*.f32 v v)))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 v v))) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 v v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i v)) (*.f32 (neg.f32 v) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 (/.f32 cosTheta_i v) v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(/.f32 (/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 #s(literal 2 binary32) v))
(*.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v))
(*.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 cosTheta_i v)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) v)
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) (/.f32 cosTheta_i v)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v (*.f32 v #s(literal 1 binary32))) (*.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) #s(approx (* v (* (* 2 v) (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))))))
Outputs
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) #s(approx (* v (* (* 2 v) (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)))))
Calls

8 calls:

14.0ms
sinTheta_i
13.0ms
sinTheta_O
13.0ms
cosTheta_i
11.0ms
cosTheta_O
11.0ms
v
Results
AccuracySegmentsBranch
70.6%1(*.f32 cosTheta_i cosTheta_O)
70.6%1cosTheta_i
70.6%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))
70.6%1sinTheta_i
70.6%1v
70.6%1(*.f32 sinTheta_i sinTheta_O)
70.6%1sinTheta_O
70.6%1cosTheta_O
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes154.0ms (1.7%)

Memory
10.9MiB live, 189.8MiB allocated; 106ms collecting garbage
Counts
44 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#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 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(approx (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) #s(approx (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 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 (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (*.f32 v v)))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 v v))) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 v v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i v)) (*.f32 (neg.f32 v) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 (/.f32 cosTheta_i v) v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(/.f32 (/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 #s(literal 2 binary32) v))
(*.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v))
(*.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 cosTheta_i v)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)) v)
(/.f32 (/.f32 (*.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) (/.f32 cosTheta_i v)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v (*.f32 v #s(literal 1 binary32))) (*.f32 v v))) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) v) (/.f32 #s(literal -1 binary32) v))) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
Outputs
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
Calls

8 calls:

50.0ms
(*.f32 sinTheta_i sinTheta_O)
26.0ms
(*.f32 cosTheta_i cosTheta_O)
20.0ms
sinTheta_i
11.0ms
cosTheta_O
11.0ms
sinTheta_O
Results
AccuracySegmentsBranch
64.2%1(*.f32 sinTheta_i sinTheta_O)
64.2%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
64.2%1(*.f32 cosTheta_i cosTheta_O)
64.2%1cosTheta_i
64.2%1sinTheta_i
64.2%1v
64.2%1cosTheta_O
64.2%1sinTheta_O
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes89.0ms (1%)

Memory
5.7MiB live, 96.7MiB allocated; 17ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#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 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(approx (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) #s(approx (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 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 (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (*.f32 v v)))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 v v))) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 v v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_O) #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i v)) (*.f32 (neg.f32 v) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 cosTheta_i v) (/.f32 (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))))
(*.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(literal 2 binary32) v)))
(*.f32 (/.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32))) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #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 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 (/.f32 cosTheta_i v) v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 cosTheta_O (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 cosTheta_O cosTheta_i)) (*.f32 v v))
(/.f32 (/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_i) (/.f32 cosTheta_O v)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (*.f32 #s(literal 2 binary32) v))
(*.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v))
(*.f32 (*.f32 (/.f32 (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 cosTheta_i v)) (/.f32 cosTheta_O v))
(*.f32 (/.f32 (/.f32 (/.f32 cosTheta_i v) #s(literal 2 binary32)) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v))) (/.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) v))
Outputs
(/.f32 (*.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
Calls

8 calls:

22.0ms
sinTheta_i
10.0ms
(*.f32 cosTheta_i cosTheta_O)
9.0ms
cosTheta_O
9.0ms
sinTheta_O
9.0ms
cosTheta_i
Results
AccuracySegmentsBranch
64.2%1v
64.2%1(*.f32 cosTheta_i cosTheta_O)
64.2%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
64.2%1cosTheta_i
64.2%1cosTheta_O
64.2%1sinTheta_i
64.2%1sinTheta_O
64.2%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes53.0ms (0.6%)

Memory
18.6MiB live, 64.0MiB allocated; 3ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#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 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(approx (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) #s(approx (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 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 (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (*.f32 v v)))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 v v))) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (/.f32 (*.f32 cosTheta_i (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) (*.f32 v v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
Outputs
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 v v))) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
Calls

8 calls:

9.0ms
v
7.0ms
cosTheta_O
6.0ms
cosTheta_i
6.0ms
sinTheta_O
6.0ms
sinTheta_i
Results
AccuracySegmentsBranch
64.2%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
64.2%1sinTheta_i
64.2%1(*.f32 cosTheta_i cosTheta_O)
64.2%1cosTheta_i
64.2%1v
64.2%1cosTheta_O
64.2%1sinTheta_O
64.2%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes60.0ms (0.7%)

Memory
14.7MiB live, 61.2MiB allocated; 18ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#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 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(approx (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) #s(approx (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 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 (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (*.f32 v v)))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 (/.f32 cosTheta_O v) cosTheta_i) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal 1 binary32)) v)) #s(literal 2 binary32)) v))
Outputs
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (*.f32 v v)))
Calls

8 calls:

19.0ms
sinTheta_i
6.0ms
v
6.0ms
sinTheta_O
6.0ms
cosTheta_O
6.0ms
cosTheta_i
Results
AccuracySegmentsBranch
64.2%1v
64.2%1(*.f32 cosTheta_i cosTheta_O)
64.2%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
64.2%1cosTheta_i
64.2%1cosTheta_O
64.2%1sinTheta_O
64.2%1sinTheta_i
64.2%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes43.0ms (0.5%)

Memory
-41.0MiB live, 52.4MiB allocated; 6ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#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 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(approx (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) #s(approx (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 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 (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
Outputs
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
Calls

8 calls:

7.0ms
cosTheta_O
5.0ms
cosTheta_i
5.0ms
sinTheta_O
5.0ms
v
5.0ms
sinTheta_i
Results
AccuracySegmentsBranch
64.2%1cosTheta_O
64.2%1v
64.2%1cosTheta_i
64.2%1sinTheta_i
64.2%1sinTheta_O
64.2%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
64.2%1(*.f32 cosTheta_i cosTheta_O)
64.2%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes39.0ms (0.4%)

Memory
4.2MiB live, 49.9MiB allocated; 3ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#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 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(approx (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) #s(approx (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 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 (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
(/.f32 (*.f32 (/.f32 cosTheta_i v) (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)))) #s(approx (* (* (sinh (/ 1 v)) 2) v) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32))))
Outputs
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
Calls

8 calls:

6.0ms
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
5.0ms
cosTheta_i
5.0ms
sinTheta_O
5.0ms
cosTheta_O
5.0ms
v
Results
AccuracySegmentsBranch
64.2%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
64.2%1sinTheta_i
64.2%1sinTheta_O
64.2%1v
64.2%1cosTheta_i
64.2%1(*.f32 cosTheta_i cosTheta_O)
64.2%1cosTheta_O
64.2%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes38.0ms (0.4%)

Memory
-4.0MiB live, 43.8MiB allocated; 7ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#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 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(approx (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) #s(approx (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 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 (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) #s(literal 2 binary32))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
Outputs
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
Calls

8 calls:

10.0ms
v
4.0ms
cosTheta_i
4.0ms
sinTheta_O
4.0ms
cosTheta_O
4.0ms
sinTheta_i
Results
AccuracySegmentsBranch
64.1%1v
64.1%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))
64.1%1(*.f32 cosTheta_i cosTheta_O)
64.1%1cosTheta_i
64.1%1cosTheta_O
64.1%1sinTheta_i
64.1%1sinTheta_O
64.1%1(*.f32 sinTheta_i sinTheta_O)
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes30.0ms (0.3%)

Memory
41.4MiB live, 41.5MiB allocated; 0ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#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 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(approx (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) #s(approx (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 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 (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (/ cosTheta_i v) (* cosTheta_O (exp (neg (/ (* sinTheta_i sinTheta_O) v))))) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) cosTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) v))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) (*.f32 v #s(approx (* (* 2 v) (sinh (/ 1 v))) #s(literal 2 binary32))))
Outputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
Calls

8 calls:

4.0ms
sinTheta_O
4.0ms
sinTheta_i
4.0ms
cosTheta_i
4.0ms
v
4.0ms
cosTheta_O
Results
AccuracySegmentsBranch
58.2%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
58.2%1cosTheta_i
58.2%1sinTheta_O
58.2%1(*.f32 cosTheta_i cosTheta_O)
58.2%1cosTheta_O
58.2%1v
58.2%1(*.f32 sinTheta_i sinTheta_O)
58.2%1sinTheta_i
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes26.0ms (0.3%)

Memory
-9.5MiB live, 36.3MiB allocated; 3ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#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 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#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))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 (neg.f32 cosTheta_i) cosTheta_O) #s(literal 1/2 binary32)) (neg.f32 v)))
(*.f32 (/.f32 (/.f32 (*.f32 cosTheta_O cosTheta_i) v) v) #s(approx (/ (exp (* (neg sinTheta_i) (/ sinTheta_O v))) (* 2 (sinh (/ 1 v)))) (*.f32 #s(literal 1/2 binary32) v)))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) #s(approx (/ (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (* (* 2 v) (sinh (/ 1 v)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 sinTheta_O sinTheta_i) v) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) #s(approx (/ (/ cosTheta_i v) (* (* 2 v) (sinh (/ 1 v)))) (/.f32 (fma.f32 (/.f32 cosTheta_i (*.f32 v v)) #s(literal -1/12 binary32) (*.f32 #s(literal 1/2 binary32) 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_O cosTheta_i) #s(literal 1/2 binary32)) v))
Calls

8 calls:

5.0ms
cosTheta_i
3.0ms
sinTheta_i
3.0ms
cosTheta_O
3.0ms
sinTheta_O
3.0ms
v
Results
AccuracySegmentsBranch
58.2%1(*.f32 sinTheta_i sinTheta_O)
58.2%1sinTheta_i
58.2%1sinTheta_O
58.2%1v
58.2%1cosTheta_O
58.2%1(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
58.2%1(*.f32 cosTheta_i cosTheta_O)
58.2%1cosTheta_i
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes16.0ms (0.2%)

Memory
-22.3MiB live, 23.7MiB allocated; 3ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#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 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
Outputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
Calls

8 calls:

3.0ms
sinTheta_O
2.0ms
cosTheta_i
2.0ms
sinTheta_i
2.0ms
cosTheta_O
2.0ms
v
Results
AccuracySegmentsBranch
58.1%1(*.f32 sinTheta_i sinTheta_O)
58.1%1sinTheta_i
58.1%1sinTheta_O
58.1%1v
58.1%1cosTheta_O
58.1%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))
58.1%1(*.f32 cosTheta_i cosTheta_O)
58.1%1cosTheta_i
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes12.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated; 0ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
#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 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) 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_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
Calls

8 calls:

2.0ms
sinTheta_O
2.0ms
sinTheta_i
1.0ms
cosTheta_O
1.0ms
cosTheta_i
1.0ms
v
Results
AccuracySegmentsBranch
58.1%1(*.f32 sinTheta_i sinTheta_O)
58.1%1sinTheta_i
58.1%1cosTheta_O
58.1%1v
58.1%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))
58.1%1sinTheta_O
58.1%1(*.f32 cosTheta_i cosTheta_O)
58.1%1cosTheta_i
Compiler

Compiled 33 to 56 computations (-69.7% saved)

regimes10.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

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

8 calls:

1.0ms
v
1.0ms
sinTheta_i
1.0ms
(/.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (*.f32 sinTheta_i sinTheta_O) v))) (/.f32 (*.f32 cosTheta_i cosTheta_O) v)) (*.f32 (*.f32 (sinh.f32 (/.f32 #s(literal 1 binary32) v)) #s(literal 2 binary32)) v))
1.0ms
sinTheta_O
1.0ms
cosTheta_O
Results
AccuracySegmentsBranch
58.1%1(*.f32 cosTheta_i cosTheta_O)
58.1%1(*.f32 sinTheta_i sinTheta_O)
58.1%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))
58.1%1cosTheta_O
58.1%1sinTheta_i
58.1%1cosTheta_i
58.1%1sinTheta_O
58.1%1v
Compiler

Compiled 33 to 56 computations (-69.7% saved)

simplify55.0ms (0.6%)

Memory
-38.0MiB live, 54.1MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0143581
1240579
2546570
32144570
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 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)) cosTheta_O) (/.f32 cosTheta_i (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) #s(approx (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i cosTheta_i) sinTheta_O) v)) (* cosTheta_O cosTheta_i)) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (*.f32 (*.f32 #s(literal 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)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) #s(approx (* v (* (* 2 v) (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 v v))) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (*.f32 v v)))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))
Outputs
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 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)) cosTheta_O) (/.f32 cosTheta_i (*.f32 (*.f32 (*.f32 v v) #s(literal 2 binary32)) (sinh.f32 (/.f32 #s(literal 1 binary32) v)))))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) #s(approx (+ (* (neg cosTheta_O) (/ (* (* sinTheta_i cosTheta_i) sinTheta_O) v)) (* cosTheta_O cosTheta_i)) (*.f32 cosTheta_i cosTheta_O))) (*.f32 v (*.f32 (*.f32 #s(literal 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)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/120 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/6 binary32)) (*.f32 v v)) #s(literal 1 binary32)) (neg.f32 v))))))
(/.f32 #s(approx (* (* cosTheta_O cosTheta_i) (exp (* (neg sinTheta_i) (/ sinTheta_O v)))) (fma.f32 (neg.f32 cosTheta_O) (/.f32 (*.f32 (*.f32 sinTheta_i cosTheta_i) sinTheta_O) v) (*.f32 cosTheta_O cosTheta_i))) #s(approx (* v (* (* 2 v) (sinh (/ 1 v)))) (*.f32 (neg.f32 v) (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/60 binary32) (*.f32 v v)) #s(literal -1 binary32) #s(literal -1/3 binary32)) (*.f32 v v)) #s(literal 2 binary32)))))
(/.f32 (*.f32 (/.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) v) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/6 binary32) v) v) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) cosTheta_O) v) (/.f32 cosTheta_O v)) (/.f32 cosTheta_i v)) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 cosTheta_O #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32))) (/.f32 cosTheta_i (*.f32 v v))) (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 (*.f32 #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)) #s(literal 2 binary32)) (*.f32 v v)))
(/.f32 (*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) cosTheta_i) (*.f32 v (*.f32 (*.f32 #s(literal 2 binary32) v) #s(approx (sinh (/ 1 v)) (/.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 v v)) #s(literal -1 binary32)) v)))))
(*.f32 (*.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) cosTheta_O) (/.f32 (/.f32 cosTheta_i v) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
(*.f32 (*.f32 cosTheta_O (/.f32 cosTheta_i v)) (/.f32 #s(approx (exp (neg (/ (* sinTheta_i sinTheta_O) v))) #s(literal 1 binary32)) #s(approx (* (* 2 v) (sinh (/ 1 v))) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 v v)) #s(literal 2 binary32)))))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 cosTheta_O cosTheta_i) (/.f32 (*.f32 (*.f32 (*.f32 sinTheta_O sinTheta_i) cosTheta_i) cosTheta_O) v))) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 cosTheta_O cosTheta_i) #s(literal 1/2 binary32)) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) cosTheta_O) cosTheta_i) v))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 (/.f32 cosTheta_i v) (*.f32 #s(literal 1/2 binary32) cosTheta_O)))
#s(approx (/ (* (exp (neg (/ (* sinTheta_i sinTheta_O) v))) (/ (* cosTheta_i cosTheta_O) v)) (* (* (sinh (/ 1 v)) 2) v)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta_O v) cosTheta_i)))

derivations872.0ms (9.6%)

Memory
73.5MiB live, 520.5MiB allocated; 110ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06283353
123963271
086783123
01970
03170
18270
037970
062380
0103380
1320380
01815380
03341482
112101416
253991331
085911278
06803376
124963252
083273106
061336
092336
1284333
01567333
065397
0107391
1331388
01984385
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
iter limit
iter limit
unsound
iter limit
iter limit
node limit
Compiler

Compiled 581 to 145 computations (75% saved)

preprocess276.0ms (3%)

Memory
14.9MiB live, 335.0MiB allocated; 96ms collecting garbage
Remove

(sort sinTheta_i sinTheta_O)

Compiler

Compiled 1 542 to 608 computations (60.6% saved)

end0.0ms (0%)

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

Profiling

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